Google News
logo
ECE : Electromagnetic Field Theory - Quiz(MCQ)
A)
Lenz
B)
Fleming
C)
Maxwell
D)
Faraday

Correct Answer :   Fleming


Explanation : The right hand rule for determining the direction of induced EMF was introduced by Fleming and it is well known as Fleming’s right hand rule. It is used to find the direction of induced emf of a generator.

A)
Radar
B)
Satellite communication
C)
Direction finding
D)
All of the above

Correct Answer :   Direction finding

3 .
ZL = 200 Ω and it is desired that Zi = 50 Ω The quarter wave transformer should have a characteristic impedance of
A)
40 Ω
B)
100 Ω
C)
10000 Ω
D)
100000 Ω

Correct Answer :   100 Ω

4 .
A broadside array consisting of 200 cm wavelength with 10 half-wave dipole spacing 10 cm. And if each array element feeding with 1 amp. current and operating at same frequency then find the half power beamwidth
A)
B)
C)
10°
D)
16°

Correct Answer :  


Explaination :

5 .
Refractive index of glass is 1.5. Find the wavelength of a beam of light with a frequency of 1014 Hz in glass. Assume velocity of light is 3 x 108 m/sec in vacuum.
A)
4 μm
B)
3 μm
C)
2 μm
D)
1 μm

Correct Answer :   2 μm


Explaination :

6 .
A broadside array operating at 100 cm wavelength consist of 4 half-wave dipoles spaced 50 cm apart. Each element carries radio frequency current in the same phase and of magnitude 0.5 A. The radiated power will be
A)
18.25 W
B)
36.5 W
C)
73 W
D)
196 W

Correct Answer :   196 W


Explaination :

A)
1 cm
B)
2 cm
C)
4 cm
D)
8 cm

Correct Answer :   4 cm


Explanation :

A)
7.8 Ω
B)
8 Ω
C)
78 Ω
D)
780 Ω

Correct Answer :   7.8 Ω


Explanation :

A)
V × D
B)
V / D
C)
V × D²
D)
V² / D

Correct Answer :   V / D


Explanation : Electric field intensity between two points is always expressed as the potential difference between these two points divided by the distance between them. The strength of electric field or electric field intensity is measured by volt per meter or newton per meter.

A)
first law
B)
second law
C)
third law
D)
fourth law

Correct Answer :   first law


Explanation : Faraday’s law of electromagnetic induction states

1. Whenever a changing flux links with a conductor, there will be an EMF induced in the conductor.
2. The magnitude of this induced EMF is directly proportional to the rate of change of flux linkage with respect to time.

These two statements are well-known as Faraday’s first and second law of electromagnetic induction respectively.

A)
Vector
B)
Scalar
C)
Unit vector
D)
None of the above

Correct Answer :   Vector

A)
Hertz antenna
B)
Marconi antenna
C)
Folded dipole
D)
None of the above

Correct Answer :   Folded dipole

A)
Oscillating
B)
Retardation
C)
Accelerating
D)
Lagging the current

Correct Answer :   Retardation

A)
100 km
B)
150 km
C)
200 km
D)
400 km

Correct Answer :   400 km

A)
Highly directional
B)
Omnidirectional
C)
A figure of directional
D)
None of the above

Correct Answer :   Highly directional

A)
Equal to
B)
Less than
C)
Higher than
D)
None of the above

Correct Answer :   Higher than

A)
Cross product is zero
B)
Dot product is zero
C)
Both are zero
D)
Both are not necessarily zero

Correct Answer :   Dot product is zero


Explanation : Dot product of two perpendicular vectors is given by A.B = |a||b|cos 90, which is zero. Thus, dot product is zero and vectors are perpendicular.

A)
3i – 11j + 7k
B)
-3i – 11j – 7k
C)
-3i + 11j – 7k
D)
-3i + 11j + 7k

Correct Answer :   -3i + 11j + 7k


Explanation : Cross product of two vectors is, A X B = (a2*b3 – b2*a3)i – (a1*b3 – b1*a3)j + (a1*b2 – b1*a2)k. Using the formula, the answer can be calculated.

A)
Dot product
B)
Cross product
C)
Addition of two vectors
D)
Cannot be calculated

Correct Answer :   Dot product


Explanation : Force is a vector quantity, whereas distance is scalar. Work is defined as the product of force and distance, which is given by dot product.

A)
Parallel
B)
Not parallel
C)
Data insufficient
D)
Collinearly parallel

Correct Answer :   Not parallel


Explanation : Two vectors are parallel when their cross product is zero. Since their cross product is 4i + 2j – 6k (non-zero), the vectors are not parallel.

A)
Dot product
B)
Cross product
C)
Both dot and cross product
D)
Independent of both

Correct Answer :   Cross product


Explanation : Lorentz force is given by, F = q (v x B).Thus cross product is the answer.

A)
A . (B . C) = scalar value
B)
A . (B x C) = scalar value
C)
A x (B . C) = scalar value
D)
A x (B x C) = vector value

Correct Answer :   A x (B . C) = scalar value


Explanation : Cross product of dot product of two vectors is a vector value.

A)
Space coordinate system
B)
Circular coordinate system
C)
Spherical coordinate system
D)
Rectangular coordinate system

Correct Answer :   Rectangular coordinate system


Explanation : The other name for Cartesian is rectangular system, which is given by (x,y,z).

A)
dV = dx dy
B)
dV = dy dz
C)
dV = dx dz
D)
dV = dx dy dz

Correct Answer :   dV = dx dy dz


Explanation : The volume of a parallelepiped is given by product of differential length, breadth and height.

A)
Circular system
B)
Cartesian system
C)
Spherical system
D)
Space coordinate system

Correct Answer :   Cartesian system


Explanation : Since the container possesses dimensions of a square (length, breadth and height), it can be found by Cartesian system.

A)
65.8
B)
66.8
C)
67.8
D)
68.8

Correct Answer :   67.8


Explanation : The dot product the vector is 8. Angle of separation is cos θ = 8/ (7.07 X 3) = 0.377 and θ = cos-1(0.377) = 67.8.

A)
-3.6j – 4k
B)
-3.6j + 4k
C)
3.6j – 4k
D)
3.6j + 4k

Correct Answer :   -3.6j – 4k


Explanation : Convert the Cartesian form to cylindrical form by formula and substitute the points to get -3.6j – 4k.

A)
Possible in all cases
B)
Possible, when the vector is variable
C)
Possible, when the vector is constant
D)
None of the above

Correct Answer :   Possible, when the vector is constant


Explanation : The order of vector transformation and point substitution will not affect the result, only when the vector is a constant.

A)
Circular coordinate system
B)
Spherical coordinate system
C)
Cartesian coordinate system
D)
Space coordinate system

Correct Answer :   Space coordinate system


Explanation : Vector formed by connecting two points in space is distance vector. Thus, it is obtained in space coordinate system.

A)
0
B)
1
C)
2
D)
3

Correct Answer :   3


Explanation : The distance vector of any coordinates is generally, r = xi + yj + zk. The divergence of r is 1 + 1 + 1 = 3.

A)
(-i – j)/1.414
B)
(-i – k)/1.414
C)
(-j – k)/1.414
D)
(-i – j – k)/1.414

Correct Answer :   (-j – k)/1.414


Explanation : The cross product of p1, p2, p3 is a X b = -j – k and its magnitude is 1.414. The unit normal vector is given by, (-j –
k)/1.414.

A)
Space coordinates
B)
Circular coordinates
C)
Cartesian coordinates
D)
Spherical coordinates

Correct Answer :   Circular coordinates


Explanation : The radius in the polar coordinates is the Pythagorean triplet-(r,x,y).Thus it is the circular coordinates.

A)
Line integral
B)
Surface integral
C)
Volume integral
D)
Relation impossible

Correct Answer :   Line integral


Explanation : The work done is given by, W = -Q ∫E dl. Thus it is line integral.

A)
6
B)
6.25
C)
6.5
D)
6.75

Correct Answer :   6.25


Explanation : Projection of A on B = (A . B)/|B|. Thus the answer is 40/6.4= 6.25.

A)
Space system
B)
Cartesian system
C)
Spherical system
D)
Circular system

Correct Answer :   Circular system


Explanation : The cylindrical coordinates(r,φ,z) is also called as circular system and is used for systems with circular dimensions.

A)
(6.325,73.57,3)
B)
(6.325,71.57,3)
C)
(6.325,-71.57,3)
D)
(6.325,-73.57,3)

Correct Answer :   (6.325,-71.57,3)


Explanation : ρ = √(x2+y2) = √40 = 6.325
Φ = tan-1(y/x) = tan-1(-6/2) = -71.57
z = 3.

A)
Cylindrical system
B)
Space system
C)
Spherical system
D)
Cartesian system

Correct Answer :   Cylindrical system


Explanation : The cylindrical system is of the form (ρ, φ, z), which relates the point given in the question.

A)
2.467i – j + 1.167k
B)
2.467i + j + 1.167k
C)
2.467i – j – 1.167k
D)
2.467i + j – 1.167k

Correct Answer :   2.467i + j + 1.167k


Explanation : The equivalent cylindrical form is given by,
B = (10sin θ/r + rcos2θ)i + j + (10cos θ/r –r sin θ cos θ)k
At (5, π/2, -2), r = √(52+-22) = √29
sin θ = 5/√29 and cos θ = -2/√29
Thus, B = 2.467i + j + 1.167k.

A)
Easy to design
B)
Low cut-off frequency
C)
More wave propagation
D)
The statement is false

Correct Answer :   Easy to design


Explanation : Due to linear design, the desired dimensions can be easily constructed using rectangular waveguides than circular ones.

A)
Radius
B)
Plane angle
C)
Z plane distance
D)
Constant, not a variable

Correct Answer :   Z plane distance


Explanation : Pressure varies up and down in a cylinder due to suction. Thus it is dependent on the z plane distance of the cylinder.

A)
Slope
B)
Arc
C)
Chord
D)
Tangent

Correct Answer :   Slope


Explanation : The gradient is the rate of change of space of flux in electromagnetics. This is analogous to the slope in mathematics.

A)
Null vector
B)
Curl operation
C)
Laplacian operation
D)
Double gradient operation

Correct Answer :   Laplacian operation


Explanation : Div (Grad V) = (Del)2V, which is the Laplacian operation. A function is said to be harmonic in nature, when its Laplacian tends to zero.

A)
Zero
B)
Unity
C)
Null vector
D)
Depends on the constants of the vector

Correct Answer :   Null vector


Explanation : Gradient of any function leads to a vector. Similarly curl of that vector gives another vector, which is always zero for all constants of the vector. A zero value in vector is always termed as null vector(not simply a zero).

A)
Surface integral
B)
Volume integral
C)
Maxwell equation
D)
Differential equation

Correct Answer :   Differential equation


Explanation : Since gradient is the maximum space rate of change of flux, it can be replaced by differential equations.

A)
cos x i + sin y j
B)
cos x i – sin y j
C)
sin x i – cos y j
D)
sin x i + cos y j

Correct Answer :   cos x i – sin y j


Explanation : Grad (sin x + cos y) gives partial differentiation of sin x+ cos y with respect to x and partial differentiation of sin x + cos y with respect to y and similarly with respect to z. This gives cos x i – sin y j + 0 k = cos x i – sin y j.

A)
0
B)
1
C)
2
D)
3

Correct Answer :   3


Explanation : The vector given is a position vector. The divergence of any position vector is always 3.

A)
-1
B)
0
C)
1
D)
2

Correct Answer :   0


Explanation : Div (yi + zj + xk) = Dx(y) + Dy(z) + Dz(x), which is zero. Here D refers to partial differentiation.

48 .
Determine the divergence of F = 30 i + 2xy j + 5xz2 k at (1,1,-0.2) and state the nature of the field
A)
1, solenoidal
B)
0, solenoidal
C)
1, divergent
D)
0, divergent

Correct Answer :   0, solenoidal


Explaination : Div(F) = Dx(30) + Dy(2xy) + Dz(5xz2) = 0 + 2x + 10xz = 2x + 10xz
Divergence at (1,1,-0.2) will give zero. As the divergence is zero, field is solenoidal.
Alternate/Shortcut: Without calculation, we can easily choose option “0, solenoidal”, as by theory when the divergence is zero, the vector is solenoidal. “0, solenoidal” is the only one which is satisfying this condition.

A)
Divergent, rotational
B)
Divergent, rotational
C)
Solenoidal, irrotational
D)
Solenoidal, irrotational

Correct Answer :   Solenoidal, irrotational


Explanation : Since the vector field does not diverge (moves in a straight path), the divergence is zero. Also, the path does not possess any curls, so the field is irrotational.

A)
Stoke’s theorem
B)
Green’s theorem
C)
Maxwell equation
D)
Gauss Divergence theorem

Correct Answer :   Stoke’s theorem


Explanation : The Stoke’s theorem is given by ∫ A.dl = ∫Curl(A).ds, which uses the curl operation. There can be confusion with Maxwell equation also, but it uses curl in electromagnetics specifically, whereas the Stoke’s theorem uses it in a generalised manner. Thus the best option is Stoke’s theorem.

A)
Magic Tee
B)
Waveguides
C)
Directional coupler
D)
Isolator and Terminator

Correct Answer :   Waveguides


Explanation : In the Directional coupler, Magic Tee, Isolator and Terminator the EM waves travel both in linear and angular motion, which involves curl too. But in waveguides, as the name suggests, only guided propagation occurs (no bending or curl of waves).

A)
Maxwell 1st and 2nd equation
B)
Maxwell 3rd and 4th equation
C)
All the four equations
D)
None of the above

Correct Answer :   Maxwell 1st and 2nd equation


Explanation : Maxwell 1st equation, Curl (H) = J (Ampere law)
Maxwell 2nd equation, Curl (E) = -D(B)/Dt (Faraday’s law)
Maxwell 3rd equation, Div (D) = Q (Gauss law for electric field)
Maxwell 4th equation, Div (B) = 0(Gauss law for magnetic field)
It is clear that only 1st and 2nd equations use the curl operation.

A)
Area
B)
Surface
C)
density
D)
Volume

Correct Answer :   Area


Explanation : Surface integral is used to compute area, which is the product of two quantities length and breadth. Thus it is two dimensional integral.

A)
Potential
B)
Field density
C)
Field intensity
D)
Charge and flux

Correct Answer :   Charge and flux


Explanation : Gauss law states that the electric flux passing through any closed surface is equal to the total charge enclosed by the surface. Thus, it is given by, ψ = ∫∫ D.ds= Q, where the divergence theorem computes the charge and flux, which are both the same.

55 .
If D = 2xy i + 3yz j + 4xz k, how much flux passes through x = 3 plane for which -1<y<2 and 0<z<4?
A)
12
B)
24
C)
36
D)
48

Correct Answer :   36


Explaination : By Gauss law, ψ = ∫∫ D.ds, where ds = dydz i at the x-plane. Put x = 3 and integrate at -1<y<2 and 0<z<4, we get 12 X 3 = 36.

A)
Surface to line integral
B)
Volume to line integral
C)
Line to surface integral
D)
Surface to volume integral

Correct Answer :   Surface to volume integral


Explanation : The divergence theorem is given by, ∫∫ D.ds = ∫∫∫ Div (D) dv. It is clear that it converts surface (double) integral to volume(triple) integral.

A)
area of cube
B)
volume of cube
C)
area of cuboid
D)
distance of vector

Correct Answer :   volume of cube


Explanation : The volume integral gives the volume of a vector in a region. Thus volume of a cube can be computed.

A)
i + j
B)
j + k
C)
–i – j – k
D)
i + j + k

Correct Answer :   –i – j – k


Explanation :  The curl of y i + z j + x k is i(0-1) – j(1-0) + k(0-1) =
-i –j –k. Since the curl is zero, the value of Stoke’s theorem is zero. The function is said to be irrotational.

A)
Curl
B)
Gradient
C)
Laplacian
D)
Divergence

Correct Answer :   Curl


Explanation : ∫A.dl = ∫∫ Curl (A).ds is the expression for Stoke’s theorem. It is clear that the theorem uses curl operation.

A)
Stoke’s theorem only
B)
Green’ s theorem only
C)
Stoke’s and Green’s theorem
D)
Gauss divergence and Stoke’s theorem

Correct Answer :   Stoke’s and Green’s theorem


Explanation : The Stoke’s theorem is given by ∫A.dl = ∫∫ Curl (A).ds. Green’s theorem is given by, ∫ F dx + G dy = ∫∫ (dG/dx – dF/dy) dx dy. It is clear that both the theorems convert line to surface integral.

A)
Divergent
B)
Solenoidal
C)
Rotational
D)
Curl free

Correct Answer :   Curl free


Explanation : Since curl is required, we need not bother about divergence property. The curl of the function will be i(0-0) – j(0-0) + k(0-0) = 0. The curl is zero, thus the function is said to be irrotational or curl free.

A)
Area enclosed by a function in the given region
B)
Linear distance
C)
Curl of the function
D)
Volume enclosed by a function in the given region

Correct Answer :   Area enclosed by a function in the given region


Explanation : It states that the line integral of a function gives the surface area of the function enclosed by the given region. This is computed using the double integral of the curl of the function.

A)
2000
B)
3000
C)
4000
D)
5000

Correct Answer :   5000


Explanation : The current density is given by, J = σE. To find conductivity, σ = J/E = 1/200 X 10-6 = 5000.

A)
200
B)
300
C)
400
D)
500

Correct Answer :   400


Explanation : Resistance calculated from Ohm’s law and Stoke’s theorem will be R = ρL/A. To get resistivity, ρ = RA/L = 200 X 20/10 = 400.

A)
Continuous partial derivatives
B)
Discrete derivatives
C)
Continuous derivatives
D)
Discrete partial derivatives

Correct Answer :   Continuous partial derivatives


Explanation : The Green’s theorem states that if L and M are functions of (x,y) in an open region containing D and having continuous partial derivatives then,
∫ (F dx + G dy) = ∫∫(dG/dx – dF/dy)dx dy, with path taken anticlockwise.

A)
Area surveying
B)
Volume of plane figures
C)
Centroid of plane figures
D)
Solving two dimensional flow integrals

Correct Answer :   Volume of plane figures


Explanation : In physics, Green’s theorem is used to find the two dimensional flow integrals. In plane geometry, it is used to find the area and centroid of plane figures.

A)
One dimensional
B)
Two dimensional
C)
Three dimensional
D)
Four dimensional

Correct Answer :   Two dimensional


Explanation : Since Green’s theorem converts line integral to surface integral, we get the value as two dimensional. In other words the functions are variable with respect to x,y, which is two dimensional.

A)
Stoke’s theorem
B)
Euler’s theorem
C)
Leibnitz’s theorem
D)
Gauss divergence theorem

Correct Answer :   Stoke’s theorem


Explanation : The Green’s theorem is a special case of the Kelvin- Stokes theorem, when applied to a region in the x-y plane. It is a widely used theorem in mathematics and physics.

A)
Parabolic reflector type
B)
Horizontal suspended wire type
C)
Both (A) and (B)
D)
Vertical grounded wire type

Correct Answer :   Vertical grounded wire type

A)
Providing insulation on conductor
B)
Use of larger section of conductor
C)
Top loading of antenna
D)
Any of the above

Correct Answer :   Top loading of antenna

A)
The impedance of one is equal to that of the other
B)
The impedance of one is the complex conjugate of the other
C)
The impedance of one of the networks is half that of the other
D)
None of the above

Correct Answer :   The impedance of one is the complex conjugate of the other

A)
TV broadcast
B)
Radio astronomy
C)
Point-to-point communication
D)
All of the above

Correct Answer :   All of the above

A)
Decrease in the value of reactance
B)
An increase in the value of reactance
C)
No change in the reactance value
D)
No change in the impedance value

Correct Answer :   An increase in the value of reactance

74 .
An open wire transmission line having a characteristic impedance of 600 ohms is terminated by a resistive load of 900 O. The standing wave ratio will be
A)
1.5
B)
2.5
C)
3.5
D)
4.5

Correct Answer :   1.5

A)
Log-periodic
B)
Conical horn
C)
Square loop
D)
Folded dipole

Correct Answer :   Log-periodic

A)
Retarded
B)
Accelerated
C)
Totally retarded
D)
Neither accelerated nor retarded

Correct Answer :   Retarded

A)
Tee
B)
Balun
C)
Slotted line
D)
Directional Coupler

Correct Answer :   Balun

A)
A stronger reflected wave
B)
A stronger incident wave
C)
A standing wave which is not progressing
D)
None of the above

Correct Answer :   A standing wave which is not progressing

A)
Wave frequency
B)
Antenna height
C)
Current of the antenna
D)
Distance of the point from the antenna

Correct Answer :   Distance of the point from the antenna

A)
Null
B)
Circle
C)
Figure of eight
D)
None of the above

Correct Answer :   Circle

A)
V = RI
B)
J = σE
C)
I = GV
D)
All of the above

Correct Answer :   All of the above


Explanation :

A)
virtually induced emf.
B)
static induced emf.
C)
dynamically induced emf.
D)
None of the above

Correct Answer :   static induced emf.


Explanation : According to the Faraday's law of electromagnetic induction principle, the emf will be induced whenever conductor cuts a varying field or vice versa. The emf will be induced when an alternating magnetic field cuts the rotor conductor.

83 .
As a result of reflection from a plane conducting wall, electromagnetic waves acquire an apparent velocity greater than the velocity of light in space. This is called the
A)
phase velocity.
B)
group velocity.
C)
normal velocity.
D)
velocity of propagation.

Correct Answer :   phase velocity.


Explaination : The phase velocity of a wave is the rate at which the phase of the wave propagates in space. This is the speed at which the phase of any one frequency component of the wave travels. Basically, the speed of this velocity is greater than the velocity of light in space.

A)
electric field is zero.
B)
electric field is a non zero constant.
C)
electric field changes with distance from the center of the sphere.
D)
electric field changes with magnitude of the charge given to the conductor.

Correct Answer :   electric field is zero.


Explanation : For any conducting sphere, the charge enclosed is zero and hence, the electric field inside it is zero. This is an application of the Gauss Law. In fact Gaussian surface includes no charges inside it.

A)
BIL
B)
BL²I
C)
BI²L.
D)
zero.

Correct Answer :   zero.


Explanation : The force can be found with the given expression F = I × L × B × sinθ and θ is the angle between I and B. When that current carrying conductor is placed parallel to the magnetic field, then the angle between current and magnetic field is zero. So, sinθ = sin0° = 0. Hence, the force experienced by the conductor is zero.

86 .
For F1 layer the maximum ionic density is 2.3 x 104 electrons per cc. The critical frequency for this layer will be
A)
1.36 MHz
B)
13.6 MHz
C)
136 MHz
D)
1360 MHz

Correct Answer :   13.6 MHz

A)
30°
B)
90°
C)
135°
D)
180°

Correct Answer :   90°

A)
47.33
B)
49
C)
50
D)
50.33

Correct Answer :   47.33


Explanation :

89 .
A plane electromagnetic wave travels in dielectric medium of relative permittivity 9. Relative to free space, the velocity of propagation in the dielectric is
A)
unchanged
B)
increased by a factor of 3
C)
increased by a factor of 9
D)
reduced by a factor of 1/3

Correct Answer :   reduced by a factor of 1/3

A)
1/4 mW
B)
1 mW
C)
4 mW
D)
7 mW

Correct Answer :   4 mW


Explanation :

A)
Highest cut off frequency
B)
No attenuation
C)
Lowest cut off frequency
D)
No phase shift

Correct Answer :   Lowest cut off frequency


Explanation : Lowest cut off frequency or highest wave-length in a waveguide gives dominant modes.

A)
(120π) Ω
B)
226 Ω
C)
377 Ω
D)
629 Ω

Correct Answer :   226 Ω


Explanation :

93 .
For a 400 kHz transmission line having L = 0.5 mH/km, C = 0.08 mF and negligible R and G, the value of propagation constant P will be
A)
15.9 radians/km
B)
31.8 radians/km
C)
63.6 radians/km
D)
105.4 radians/km

Correct Answer :   15.9 radians/km


Explaination :

94 .
The Depth of penetration of EM wave in medium having conductivity σ at a frequency of 1 MHz is 25 cm. The depth of penetration at a frequency of 4 MHz will be
A)
6.25 cm
B)
12.50 cm
C)
50 cm
D)
100 cm

Correct Answer :   12.50 cm


Explaination :

A)
.547 Ω
B)
5.47 Ω
C)
54.7 Ω
D)
547.7 Ω

Correct Answer :   547.7 Ω

96 .
A rectangular waveguide measures 3 x 4.5 cm internally and has a 10 GHz signal propagated in it. Calculate the wave impedance for dominant mode.
A)
1.3 π
B)
12 π
C)
120 π
D)
130 π

Correct Answer :   1.3 π

A)
160 Ω
B)
226 Ω
C)
(377)Ω
D)
629 Ω

Correct Answer :   629 Ω


Explanation :

98 .
In a 100 turn coil, if the flux through each turn is (t3 - 2t)mWb, the magnitude of the induced emf in the coil at a time of 4 sec is
A)
4.6 V
B)
5.6 V
C)
46 mV
D)
56 mV

Correct Answer :   4.6 V


Explaination :

A)
0°
B)
30°
C)
45°
D)
60°

Correct Answer :   60°

A)
∇ . D = r
B)
∇ x D = r
C)
∇ x D = 0
D)
∇ . D = 0

Correct Answer :   ∇ x D = 0


Explanation : Inside a conductor free charge is zero, hence, ∇ x D = 0.

A)
30 Ω
B)
13 Ω
C)
3 Ω
D)
1 Ω

Correct Answer :   30 Ω

A)
300
B)
100
C)
20
D)
1.1

Correct Answer :   1.1


Explanation :

103 .
Characteristic impedance of a transmission line is 50 Ω. Input impedance of the open circuited line.
Zoc = 100 + J150 Ω. When transmission line is short circuited, then value of the input impedance will be
A)
50 Ω
B)
100 + J150 Ω
C)
7.69 - J11.54 Ω
D)
7.69 + J11.54Ω

Correct Answer :   7.69 - J11.54 Ω


Explaination :

104 .
A material has conductivity of 10-2 mho/m and a relative permittivity of 4. The frequency at which conduction current in the medium is equal to displacement current is
A)
45 MHz
B)
90 MHz
C)
450 MHz
D)
900 MHz

Correct Answer :   45 MHz


Explaination :

105 .
A transmission line is feeding 1 watt of power to a horn antenna having a gain of 10 dB. The antenna is matched to the transmission line. The total power radiated by the horn antenna into the free space is
A)
0.01 watt
B)
0.1 watt
C)
1 watt
D)
10 watt

Correct Answer :   10 watt

106 .
An end fire array consisting of several half-wave lengths of directive gain 40, then find the width of major lobe
A)
50
B)
60
C)
51.25
D)
None of the above

Correct Answer :   51.25


Explaination :

107 .
A uniform plane EM wave incident normally on a plane surface of a dielectric material is reflected with a VSWR of 3. What percentage of incident power that is reflected?
A)
10%
B)
25%
C)
50%
D)
75%

Correct Answer :   25%


Explaination :

A)
Flux in magnetic field
B)
Charge in electrostatic field
C)
Current in electrostatic field
D)
Power flow in electromagnetic

Correct Answer :   Power flow in electromagnetic


Explanation : P = E x H

A)
10 MHz
B)
15 MHz
C)
30 MHz
D)
60 MHz

Correct Answer :   60 MHz


Explanation :

MUF = fc sec θ

110 .
A 10 GHz signal propagates in a waveguide with a phase velocity of 4 x 108 m/s. If the signal produces standing wave in the guide, then the distance between successive minimal will be
A)
10 mm
B)
20 mm
C)
30 mm
D)
40 mm

Correct Answer :   20 mm


Explaination :

111 .
A transmission line of characteristic impedance z0 = 50 Ω. Phase Velocity = 2 x 108 m/sec, and length l = 1 m is terminated by a load z1 = (30 - j 40) ohms. The input impedance of the line for a frequency of 100 MHz will be
A)
(50 - j 40) Ω
B)
(30 - j 40) Ω
C)
(50 + j x 40) Ω
D)
(30 + j x 40) Ω

Correct Answer :   (30 - j 40) Ω


Explaination :

112 .
A transmission line has characteristics impedance of (75 + j 0.01) Ω and is terminated in a load impedance of (70 + j 50) Ω. The transmission coefficient will be
A)
0.08 + j 0.32
B)
1.32 + j 1.38
C)
1.70 - j 2.97
D)
1.08 + j 0.32

Correct Answer :   1.08 + j 0.32


Explaination :

113 .
A TV. transmitting aerial is fixed on top of a 150 metre tower located on a mountain 1200 m height. The range of transmitter is
A)
51 km
B)
51 m
C)
152 km
D)
152 m

Correct Answer :   152 km


Explaination :

A)
0.13 W
B)
0.88 W
C)
7.3 W
D)
73 W

Correct Answer :   73 W


Explanation :

P = I2 . R => (1)2 . 73 => 73 watt.

Here, vertical wire will be considered as dipole.

A)
2.5 meter
B)
5 meter
C)
10 meter
D)
100 meter

Correct Answer :   5 meter


Explanation :

A)
60°
B)
70°
C)
140°
D)
210°

Correct Answer :   140°


Explanation :

A)
0
B)
6.28
C)
8.4
D)
62.8

Correct Answer :   62.8


Explanation :

A)
0.89159%
B)
8.9159%
C)
89.159%
D)
891.59%

Correct Answer :   89.159%


Explanation :

A)
purely reactive
B)
purely resistive
C)
depend on the characteristic impedance of the line
D)
None of the above

Correct Answer :   None of the above


Explanation :

A)
distance between the conductors.
B)
radius of conductors.
C)
current in one conductor.
D)
product of current in two conductors.

Correct Answer :   distance between the conductors.


Explanation : If the current is flowing through the two different conductors ‘d’ distance apart, in the same direction, then the force between the two conductors is directly proportional to the product of the currents and inversely proportional to the distance between the two conductors.

A)
30
B)
60
C)
90
D)
100

Correct Answer :   60


Explanation :

A)
direction of electric field
B)
direction of magnetic field at some fixed point in space
C)
Either (A) or (B)
D)
None of the above

Correct Answer :   direction of electric field


Explanation : Direction of electric field is to be taken as reference.

A)
10
B)
26.66
C)
30
D)
100

Correct Answer :   26.66


Explanation :

A)
21.27%
B)
78%
C)
80%
D)
87%

Correct Answer :   78%


Explanation :

A)
150 GHz
B)
15 GHz
C)
7.5 GHz
D)
1.5 GHz

Correct Answer :   7.5 GHz


Explanation :

A)
100 Ω
B)
600 Ω
C)
650 Ω
D)
657 Ω

Correct Answer :   657 Ω


Explanation :

A)
4 GHz
B)
5 GHz
C)
7.5 GHz
D)
10 GHz

Correct Answer :   5 GHz


Explanation :

A)
0.5
B)
0.25
C)
0
D)
1

Correct Answer :   0.5


Explanation : μ = sin i

A)
j 0.033
B)
0.8.+ j 0.6
C)
1
D)
2

Correct Answer :   2


Explanation :

A)
0.01 N.
B)
0.1 N.
C)
1 N.
D)
100 N.

Correct Answer :   0.1 N.


Explanation :

A)
Charge
B)
Force
C)
Permittivity
D)
Field strength

Correct Answer :   Charge


Explanation : The standard unit of charge is Coulomb. One coulomb is defined as the 1 Newton of force applied on 1 unit of electric field.

A)
Magnetostatics
B)
Maxwell theory
C)
Electrostatics
D)
Electromagnetics

Correct Answer :   Electrostatics


Explanation : Coulomb law is applied to static charges. It states that force between any two point charges is proportional to the product of the charges and inversely proportional to square of the distance between them. Thus it is employed in electrostatics.

A)
Away from 1C
B)
Away from -4C
C)
From -4C to 1C
D)
From 1C to -4C

Correct Answer :   From 1C to -4C


Explanation : Since the charges are unlike, the force will be attractive. Thus the force directs from 1C to -4C.

A)
1.44
B)
1.404
C)
2.44
D)
2.404

Correct Answer :   1.404


Explanation : Before the charges are brought into contact, F = 11.234 μN.
After charges are brought into contact and then separated, charge on each sphere is, (q1 + q2)/2 = 0.5nC
On calculating the force with q1 = q2 = 0.5nC, F = 1.404μN.

A)
F1 = F2
B)
F1 = -F2
C)
F1 = F2 = 0
D)
F1 and F2 are not equal

Correct Answer :   F1 = -F2


Explanation : The force of two charges with respect with each other is given by F1 and F2. Thus F1 + F2 = 0 and F1 = -F2.

A)
Force per unit charge
B)
Force on a test charge
C)
Product of force and charge
D)
Force per unit charge on a test charge

Correct Answer :   Force per unit charge on a test charge


Explanation : The electric field intensity is the force per unit charge on a test charge, i.e, q1 = 1C. E = F/Q = Q/(4∏εr2).

A)
0
B)
1
C)
2
D)
3

Correct Answer :   2


Explanation : Force is the product of charge and electric field.
F = q X E = 2 X 1 = 2 N.

138 .
What is the electric field intensity at a distance of 20cm from a charge 2 X 10-6 C in vacuum?
A)
250,000
B)
350,000
C)
450,000
D)
550,000

Correct Answer :   450,000


Explaination : E = Q/ (4∏εor2)
= (2 X 10-6)/(4∏ X εo X 0.22) = 450,000 V/m.

A)
Zero
B)
Unity
C)
σ/ε
D)
σ/2ε

Correct Answer :   σ/2ε


Explanation : E = σ/2ε.(1- cos α), where α = h/(√(h2+a2))
Here, h is the distance of the sheet from point P and a is the radius of the sheet. For infinite sheet, α = 90. Thus E = σ/2ε.

A)
Wave propagation
B)
Magnetic field intensity
C)
Both H and wave direction
D)
It propagates independently

Correct Answer :   Both H and wave direction


Explanation : In an electromagnetic wave, the electric field and magnetic field will be perpendicular to each other. Both of these fields will be perpendicular to the wave propagation.

A)
Real
B)
Imaginary
C)
Not significant
D)
Drawn to trace the direction

Correct Answer :   Drawn to trace the direction


Explanation : The lines drawn to trace the direction in which a positive test charge will experience force due to the main charge are called lines of force. They are not real but drawn for our interpretation.

A)
Number of flux lines
B)
Flux lines per unit area
C)
Direction of flux at a point
D)
Ratio of flux lines crossing a surface and the surface area

Correct Answer :   Ratio of flux lines crossing a surface and the surface area


Explanation : Electric flux density is given by the ratio between number of flux lines crossing a surface normal to the lines and the surface area. The direction of D at a point is the direction of the flux lines at that point.

A)
Product of number of flux lines and permittivity
B)
Product of permittivity and electric field intensity
C)
Product of number of flux lines and permeability
D)
Product of permeability and electric field intensity

Correct Answer :   Product of permittivity and electric field intensity


Explanation : D= εE, where ε=εoεr is the permittivity of electric field and E is the electric field intensity. Thus electric flux density is the product of permittivity and electric field intensity.

A)
Electric flux is equal to charge
B)
Electric field is equal to charge density
C)
Electric flux per unit volume is equal to volume charge density
D)
Electric flux per unit volume is equal to charge

Correct Answer :   Electric flux per unit volume is equal to volume charge density


Explanation : The electric flux passing through any closed surface is equal to the total charge enclosed by that surface. In other words, electric flux per unit volume leaving a point (vanishing small volume), is equal to the volume charge density.

A)
0.25
B)
0.5
C)
0.75
D)
1

Correct Answer :   0.25


Explanation : The electric field of a line charge is given by, E = λ/(2περ), where ρ is the radius of cylinder, which is the Gaussian surface and λ is the charge density. The density D = εE = λ/(2πρ) = 3.14/(2π X 2) = 1/4 = 0.25.

A)
2
B)
3
C)
4
D)
5

Correct Answer :   4


Explanation : Total flux leaving the entire surface is, ψ = 4πr2D from Gauss law. Ψ = 4π(1/16π2) X 16π = 4

A)
12
B)
14
C)
16
D)
18

Correct Answer :   18


Explanation : V = Q/(4πεr), where r = 1m
V = (2 X 10-9)/(4πε x 1) = 18 volts.

A)
140.35
B)
141.35
C)
142.35
D)
143.35

Correct Answer :   143.35


Explanation : V = (1/4πεo) ∑Q/r = (10 X 10-9/4πεo)
(0.5 + 0.33 + 0.25 + 0.2 + 0.166 + 0.142) = 143.35 volts.

149 .
Find the potential of V = 60sin θ/r2 at P(3,60,25)
A)
5.774
B)
6.774
C)
7.774
D)
8.774

Correct Answer :   5.774


Explaination : V = 60sin θ/r2, put r = 3m, θ = 60 and φ = 25, V = 60 sin 60/32 = 5.774 volts.

A)
Peak voltage
B)
RMS voltage
C)
Source voltage
D)
Average voltage

Correct Answer :   RMS voltage


Explanation : In any ac circuit, the voltage measured will not be exact maximum. In order to normalise, we assume the instantaneous voltage at any point be 70.7% of the peak value, which is called the root mean square (RMS)voltage.

A)
Zero
B)
Positive
C)
Negative
D)
Infinity

Correct Answer :   Negative


Explanation : The resistor will absorb power and dissipate it in the form of heat energy. The potential between two points across a resistor will be negative.

A)
Permittivity
B)
Permeability
C)
Electric potential
D)
Radius of Gaussian surface

Correct Answer :   Radius of Gaussian surface


Explanation : Gauss law relates the electric flux density and the charge density. Thus it can be used to compute radius of the Gaussian surface. Permittivity and permeability are constants for a particular material.

153 .
Three charged cylindrical sheets are present in three spaces with σ = 5 at R = 2m, σ = -2 at R = 4m and σ =-3 at R = 5m. Find the flux density at R = 4.5m.
A)
1/4.5
B)
2/4.5
C)
3/4.5
D)
4/4.5

Correct Answer :   2/4.5


Explaination : The Gaussian cylinder of R = 4.5m encloses sum of charges of two cylinders (R = 2m and R = 4m).
By Gauss law, ψ = Q
D(2πRL) = σ(2πRL), D(2π X 4.5) = Q1 + Q2 = σ1(2π X 2) + σ2(2π X 4), here σ1 = 5 and σ2 = -2. We get D = 2/4.5 units.

A)
Cylinder
B)
Spherical
C)
Cartesian
D)
Depends on the Gaussian surface

Correct Answer :   Depends on the Gaussian surface


Explanation : The Gauss law exists for all materials. Depending on the Gaussian surface of the material, we take the coordinate systems accordingly. Suppose if the material is a coaxial cable, the Gaussian surface is in the form of cylinder. Thus we take Cylinder/Circular coordinate system.

A)
Point
B)
Integral
C)
Stokes theorem
D)
Differential

Correct Answer :   Stokes theorem


Explanation : Gauss law can be expressed in differential or point form as,
Div (D)= ρv and in integral form as ∫∫ D.ds = Q = ψ . It is not possible to express it using Stoke’s theorem.

A)
Ohm’s law
B)
Coulomb’s law
C)
Ampere law
D)
Faraday’s law

Correct Answer :   Coulomb’s law


Explanation : From Gauss law, we can compute the electric flux density. This in turn can be used to find electric field intensity. We know that F = qE. Hence force can be computed. This gives the Coulomb’s law.

A)
Linear
B)
Nonlinear
C)
Inversely linear
D)
Inversely nonlinear

Correct Answer :   Linear


Explanation : The electric flux density is directly proportional to electric field intensity. The proportionality constant is permittivity. D=ε E. It is clear that both are in linear relationship.

A)
4
B)
6
C)
9
D)
3/2

Correct Answer :   6


Explanation : The electric field intensity is the ratio of electric potential to the distance. E = V/d. To get V = E X d = 3 X 2 = 6units.

A)
12
B)
24
C)
36
D)
48

Correct Answer :   48


Explanation : The work done is the product of charge and potential.
W = Q X V = 2 X 24 = 48 units.

A)
3.536nF
B)
3.536pF
C)
35.36pF
D)
35.36nF

Correct Answer :   35.36pF


Explanation : The capacitance of any material is given by, C = εA/d, where ε = εoεr is the permittivity in air and the material respectively. Thus C = 1 X 8.854 X 10-12 X 20/5 = 35.36pF.

161 .
Find the inductance of a coil with permeability 3.5, turns 100 and length 2m. Assume the area to be thrice the length.
A)
94.131H
B)
94.131mH
C)
131.94H
D)
131.94mH

Correct Answer :   131.94mH


Explaination : The inductance is given by L = μ N2A/l, where μ= μoμr is the permeability of air and the material respectively. N = 100 and Area = 3 X 2 = 6. L = 4π X 10-7 X 1002 X 6/2 = 131.94mH

A)
100
B)
200
C)
300
D)
400

Correct Answer :   100


Explanation : The current density is given by J = σ E, where σ is the conductivity. Thus resistivity ρ = 1/σ. J = E/ρ = 2000/20 = 100 units.

A)
1A
B)
10A
C)
10mA
D)
100mA

Correct Answer :   1A


Explanation : We know that E = V/d. To get potential, V = E X d = 2 X 1 = 2 volts. From Ohm’s law, V = IR and current I = V/R = 2/2 = 1A.

A)
A = μ B
B)
B = μ H
C)
H = μ A
D)
H = μ B

Correct Answer :   B = μ H


Explanation :  In electric fields, the flux density is a product of permittivity and field intensity. Similarly, for magnetic fields, the magnetic flux density is the product of permeability and magnetic field intensity, given by B= μ H.

165 .
Find the force on a conductor of length 12m and magnetic flux density 20 units when a current of 0.5A is flowing through it.
A)
60
B)
120
C)
180
D)
200

Correct Answer :   120


Explaination : The force on a conductor is given by F = BIL, where B = 20, I = 0.5 and L = 12. Force F = 20 X 0.5 x 12 = 120 N.

166 .
Calculate the power of a material with electric field 100 units at a distance of 10cm with a current of 2A flowing through it.
A)
10
B)
20
C)
30
D)
40

Correct Answer :   20


Explaination : Power is defined as the product of voltage and current.
P = V X I, where V = E X d. Thus P = E X d X I = 100 X 0.1 X 2 = 20 units.

A)
Flux lines
B)
Permittivity
C)
Applied electric field
D)
Magnitude of charges

Correct Answer :   Applied electric field


Explanation : The energy in an electric field directly magnitude of charges. Thus electric field and flux density are also dependent. But the applied field affects only the polarisation and it is independent of the energy in the field.

A)
3.16
B)
5.16
C)
7.16
D)
9.16

Correct Answer :   3.16


Explanation : The energy in an electric field is given by, W = 0.5 x D x E. Since D = εE, we get W = 0.5 x ε x E2. On substituting the data, we get 3.16 microjoule.

A)
Real surface
B)
Complex surface
C)
Imaginary surface
D)
Not existing surface

Correct Answer :   Imaginary surface


Explanation : Equipotential surface is an imaginary surface in an electric field of a given charge distribution in which all the points on the surface are at the same electric potential.

A)
Electrostatic energy
B)
Permittivity
C)
Electric flux density
D)
Electric field intensity

Correct Answer :   Electrostatic energy


Explanation : Using potential, we can calculate electric field directly by gradient operation. From E, the flux density D can also be calculated. Thus it is not possible to calculate energy directly from potential.

A)
Polarisation
B)
Diamagnetism
C)
Ferrimagnetism
D)
Ferromagnetism

Correct Answer :   Diamagnetism


Explanation : Since superconductors have very good conductivity at low temperatures (σ->∞), they have nearly zero resistivity and exhibit perfect diamagnetism.

A)
Rigid and low dielectric constant
B)
Brittle and low dielectric constant
C)
Rigid and high dielectric constant
D)
Brittle and high dielectric constant

Correct Answer :   Brittle and high dielectric constant


Explanation : Ceramic materials are generally brittle. Since these materials are used in capacitors, they have higher dielectric constant than polymer. With respect to energy, they possess high electrostatic energy due to very high dielectric constant (W α ε).

A)
Permittivity
B)
Susceptibility
C)
Electric dipole moment
D)
Magnetic dipole moment

Correct Answer :   Electric dipole moment

A)
Mercury
B)
Plastics
C)
Rubber
D)
Ceramics

Correct Answer :   Mercury


Explanation : Normally, metals are said to be good conductors. Here mercury is the only metal (which is in liquid form). The other options are insulators.

A)
Holes only
B)
Electrons only
C)
Electrons and holes
D)
Applied electric field

Correct Answer :   Electrons only


Explanation : Conduction in metals is only due to majority carriers, which are electrons. Electrons and holes are responsible for conduction in a semiconductor.

A)
1eV
B)
2eV
C)
3eV
D)
4eV

Correct Answer :   1eV


Explanation : The band gap energy in electron volt when wavelength is given is, Eg = 1.24(μm)/λ = 1.24 x 10<sup>-6</sup>/1240 x 10<sup>-9</sup> = 1eV.

A)
Zero
B)
Peak value
C)
Average value
D)
RMS value

Correct Answer :   RMS value


Explanation : The instantaneous current flowing in a transmission line, when measured using an ammeter, will give RMS current value. This value is 70.7% of the peak value. This is because, due to oscillations in AC, it is not possible to measure peak value. Hence to normalise, we consider current at any time in a line will be the RMS current.

A)
Displacement current
B)
Both conduction and displacement current
C)
Conduction current
D)
Neither conduction nor displacement current

Correct Answer :   Conduction current


Explanation : At any frequency, the current through the metal will be due to conduction current. Only at high frequencies and when medium is air, the conduction is due to displacement current. Thus in general the current in metal is due to conduction current, which depends on the mobility of the carriers.

A)
2880
B)
2400
C)
16.67
D)
0.06

Correct Answer :   2400


Explanation : The convection current density is given by, J = ρeV
J = 200 X 12= 2400 units.

A)
Iron
B)
Ceramics
C)
Plastic
D)
Magnesium

Correct Answer :   Ceramics


Explanation : Iron and magnesium are metals. Hence they need not be considered. Both ceramics and plastic are insulators. But dielectric constant is more for ceramics always. Hence ceramics is the best dielectric.

A)
Heating
B)
Doping
C)
Freezing
D)
Compression

Correct Answer :   Heating


Explanation : On increasing the temperature, the free electrons in an insulator can be promoted from valence to conduction band. Gradually, it can act as a conductor through heating process. This condition is called dielectric breakdown, wherein the insulator loses its dielectric property and starts to conduct.

A)
3
B)
5
C)
8
D)
16

Correct Answer :   5


Explanation : The electric susceptibility is given by χe = εr – 1. For a susceptibility of 4, the dielectric constant will be 5. It has no unit.

A)
They can never become a superconductor
B)
They are superconductors at high temperatures
C)
They are superconductors at low temperatures
D)
They have very less dielectric breakdown voltage

Correct Answer :   They are superconductors at low temperatures


Explanation : Superconductors are characterised by diamagnetism behaviour and zero resistivity, which true for a dielectric. They occur only at low temperature. Thus a dielectric can become a superconductor at low temperatures with very high dielectric breakdown voltage.

A)
Critical field
B)
Ferrimagnetic field
C)
Diamagnetic field
D)
Ferromagnetic field

Correct Answer :   Critical field


Explanation : Critical field is that strong magnetic field which can destroy the superconductivity of a material. The temperature at which this occurs is called transition temperature.

A)
Zero
B)
Infinity
C)
Positive
D)
Negative

Correct Answer :   Negative


Explanation : Due to perfect diamagnetism in a superconductor, its magnetic susceptibility will be negative. This phenomenon is called Meissner effect.

A)
25
B)
400
C)
1600
D)
1800

Correct Answer :   25


Explanation : The conduction current density is given by, Jc = σE. To get conductivity, σ = J/E = 100/4 = 25 units.

A)
10sin 0.5t
B)
10cos 0.5t
C)
20sin 2t
D)
20cos 2t

Correct Answer :   10cos 0.5t


Explanation : The displacement current density is given by, Jd = dD/dt.
Jd = d(20sin 0.5t)/dt = 20cos 0.5t (0.5) = 10cos 0.5t.

189 .
Calculate the frequency at which the conduction and displacement currents become equal with unity conductivity in a material of permittivity 2.
A)
9 GHz
B)
18 GHz
C)
24 GHz
D)
36 GHz

Correct Answer :   9 GHz


Explaination : When Jd = Jc , we get εωE = σE. Thus εo(2∏f) = σ. On substituting conductivity as one and permittivity as 2, we get f = 9GHz.

A)
Dielectric constant
B)
Attenuation constant
C)
Loss tangent
D)
Propagation constant

Correct Answer :   Loss tangent


Explanation : Jc /Jd is a standard ratio, which is referred to as loss tangent given by σ /ε ω. The loss tangent is used to determine if the material is a conductor or dielectric.

A)
Insulator
B)
Conductor
C)
Lossless dielectric
D)
Lossy dielectric

Correct Answer :   Lossless dielectric


Explanation : If loss tangent is less, then σ /ε ω <<1. This implies the conductivity is very poor and the material should be a dielectric. Since it is specifically mentioned very less, assuming the conductivity to be zero, the dielectric will be lossless (ideal).

A)
45 in phase
B)
45 out of phase
C)
90 in phase
D)
90 out of phase

Correct Answer :   45 out of phase


Explanation : The electric and magnetic fields will be out of phase by 45 in good conductors. This is because their intrinsic impedance is given by η = √(ωμ/σ) X (1+j). In polar form we get 45 out of phase.

A)
Conductivity
B)
Resistivity
C)
Permittivity
D)
Permeability

Correct Answer :   Conductivity


Explanation : In free space, ε = ε0 and μ = μ0. The relative permittivity and permeability will be unity. Since the free space will contain no charges in it, the conductivity will be zero.

A)
tan 20
B)
tan 40
C)
tan 60
D)
tan 80

Correct Answer :   tan 40


Explanation : The loss tangent is given by tan 2θn, where θn = 20. Thus the loss tangent will be tan 40.

A)
272 ohm
B)
377 ohm
C)
412 ohm
D)
740 ohm

Correct Answer :   377 ohm


Explanation : The intrinsic impedance is given by η = √(μo/εo) ohm. Here εo = 8.854 x 10-12 and μo = 4π x 10-7.
On substituting the values, we get η = 377 ohm.

A)
Orientation of dipole moments
B)
Change in polarity of every dipole
C)
Orientation of dipoles in random direction
D)
Electric dipole moment per unit volume

Correct Answer :   Electric dipole moment per unit volume


Explanation : The polarisation is defined mathematically as the electric dipole moment per unit volume. It is also referred to as the orientation of the dipoles in the direction of applied electric field.

A)
Ratio of dipole moment to electric field
B)
Ratio of electric field to dipole moment
C)
Product of dipole moment and electric field
D)
Product of dielectric constant and dipole moment

Correct Answer :   Ratio of dipole moment to electric field


Explanation : Polarizability is a constant that is defined as the ratio of elemental dipole moment to the electric field strength.

A)
Ionic
B)
Electronic
C)
Orientational
D)
Interfacial

Correct Answer :   Orientational


Explanation : The electronic, ionic and interfacial polarisation depends on the atoms which are independent with respect to temperature. Only the orientational polarisation is dependent on the temperature and is inversely proportional to it.

A)
Polarisation
B)
Permeability
C)
Permittivity
D)
Polarizability

Correct Answer :   Permittivity


Explanation : Isotropic materials are those with radiate or absorb energy uniformly in all directions (eg. Isotropic antenna). Thus it is independent of the direction.

A)
Product of all types of polarisation
B)
Sum of all types of polarisation
C)
Orientation directions of the dipoles
D)
Total dipole moments in the material

Correct Answer :   Sum of all types of polarisation


Explanation : The total polarisation of a material is given by the sum of electronic, ionic, orientational and interfacial polarisation of the material.

A)
Ionic
B)
Interfacial
C)
Electronic
D)
Orientational

Correct Answer :   Interfacial


Explanation : Solids possess permanent dipole moments. Moreover they do not have junction like semiconductors. Thus, solids neglect the interfacial and space charge polarisation. They possess only electronic, ionic and orientational polarisations.

A)
Silicon
B)
Sulphur
C)
Diamond
D)
Germanium

Correct Answer :   Silicon


Explanation : Elemental solid dielectrics are the materials consisting of single type of atoms. Such materials have neither ions nor permanent dipoles and possess only electronic polarisation. Its examples are diamond, sulphur and germanium.

A)
16
B)
64
C)
256
D)
2562

Correct Answer :   16


Explanation : By Maxwell relation, εr = n2, where εro is the dielectric constant at optical frequencies and n is the refractive index.For the given dielectric constant we get n = 16.

A)
Ohm’s law and Gauss law
B)
Ohm’s law and Ampere law
C)
Ampere law and Gauss law
D)
Maxwell law and Ampere law

Correct Answer :   Ampere law and Gauss law


Explanation : I = ∫ J.ds is the integral form of Ohm’s law and Div (J) = dq/dt is the Gauss law analogous to D. Through these two equations, we get Div(J) = -dρ/dt. This is the continuity equation.

A)
19t
B)
-20t
C)
20t
D)
21t

Correct Answer :   21t


Explanation : Using continuity equation, the problem can be solved. Div(J) =
– dρ/dt. Div(J) = 20cos x + cos z. At origin, we get 20cos 0 + cos 0 = 21. To get ρ, on integrating the Div(J) with respect to t, the charge density will be 21t.

206 .
Compute the conductivity when the current density is 12 units and the electric field is 20 units. Also identify the nature of the material.
A)
0.6, conductor
B)
0.6, dielectric
C)
1.67, dielectric
D)
1.67, conductor

Correct Answer :   0.6, dielectric


Explaination : The current density is the product of conductivity and electric field intensity. J = σE. To get σ, put J = 12 and E = 20. σ = 12/20 = 0.6. Since the conductivity is less than unity, the material is a dielectric.

A)
12
B)
24
C)
600
D)
720

Correct Answer :   24


Explanation : The convection current density is given by J = ρe x v. To get ρe, put J = 120 and v = 5. ρe = 120/5 = 24 units.

A)
0.9
B)
1.1
C)
2.2
D)
3.2

Correct Answer :   2.2


Explanation : The mobility is defined as the drift velocity per unit electric field. Thus μe = vd/E = 23/11 = 2.1 units.

A)
1/12
B)
1/24
C)
1/48
D)
1/96

Correct Answer :   1/24


Explanation : The resistance is given by R = ρL/A = L/σA. Put L = 100, σ = 12 and A = 200, we get R = 100/(12 x 200) = 1/24 units.

A)
24.6
B)
26.4
C)
42.6
D)
64.2

Correct Answer :   24.6


Explanation : The electric field is given by E = V/L. To get V, put E = 12.3 and L = 2.Thus we get V = E x L = 12.3 x 2 = 24.6 units.

A)
∫ H.dl = 0
B)
∫ B.dl = 0
C)
∫ D.dl = 0
D)
∫ E.dl = 0

Correct Answer :   ∫ E.dl = 0


Explanation : A conservative field implies the work done in a closed path will be zero. This is given by ∫ E.dl = 0.

A)
12
B)
24
C)
48
D)
96

Correct Answer :   24


Explanation : At the boundary of a conductor- free space interface, the flux density is equal to the charge density. Thus D = ρv = 24 units.

A)
Normal
B)
Vertical
C)
Tangential
D)
Horizontal

Correct Answer :   Tangential


Explanation : At the boundary of the dielectric-dielectric, the tangential component of the electric field intensity is always continuous. We get Et1 = Et2.

A)
0
B)
1/6
C)
6
D)
24

Correct Answer :   6


Explanation : The relation between electric field and permittivity is given by Dt1/Dt2 = ε1/ε2. Put Dt1 = 12, ε1 = 2 and ε2 =1, we get Dt2 = 12 x 1/ 2 = 6 units.

215 .
A wave incident on a surface at an angle 60 degree is having field intensity of 6 units. The reflected wave is at an angle of 30 degree. Find the field intensity after reflection.
A)
7.4
B)
8.4
C)
9.4
D)
10.4

Correct Answer :   10.4


Explaination : By Snell’s law, the relation between incident and reflected waves is given by, E1 sin θ1 = E2 sin θ2. Thus 6 sin 60 = E2 sin 30. We get E2 = 6 x 1.732 = 10.4 units.

A)
At waveguide can be coupled to a coaxial cable
B)
Waveguides can handle large power at UHF and microwaves
C)
At frequencies below the cut off value the wave progresses across the waveguide after total reflections
D)
Waveguides are usually air filled hollow conducting metallic tubes for transmitting UHF and microwaves

Correct Answer :   At waveguide can be coupled to a coaxial cable

A)
Tube antenna to transmit and receive electromagnetic waves
B)
Hollow rectangular walled room carrying electromagnetic wave
C)
Rectangular conducting wire to propagate electromagnetic waves
D)
Hollow rectangular conducting tube through which electromagnetic waves can be propagat-ed

Correct Answer :   Hollow rectangular conducting tube through which electromagnetic waves can be propagat-ed

A)
HF
B)
UHF
C)
VHF
D)
VLF

Correct Answer :   UHF

A)
Only
B)
With a reflector
C)
With one or more directors
D)
With a reflector and one or more directors

Correct Answer :   With a reflector and one or more directors

220 .
In case of antenna the ratio of the power radiated in the desired direction to the power radiated in the opposite direction is known as
A)
Loss coefficient
B)
Front to back ratio
C)
Transmission efficiency
D)
None of the above

Correct Answer :   Front to back ratio

A)
3 to 30 kHz
B)
300 to 3000 kHz
C)
3000 to 30000 MHz
D)
30000 to 300000 MHz

Correct Answer :   3000 to 30000 MHz

A)
Zero
B)
Unity
C)
Infinity
D)
None of the above

Correct Answer :   Zero

A)
Low frequency
B)
High frequency
C)
Medium frequency
D)
Microwave frequency

Correct Answer :   Microwave frequency

A)
zero
B)
parallel to axis.
C)
perpendicular to the axis.
D)
at angle of 45° with the axis.

Correct Answer :   parallel to axis.


Explanation : A continuous current in a current carrying coil is divided into multiple current elements. Using the superposition principle and the Biot-Savarts law, each discrete element generates its own magnetic field and when it is integrated with each field that produces a resultant field and it is aligned parallel to the axis of the coil.

A)
zero
B)
repulsive
C)
attractive
D)
None of the above

Correct Answer :   repulsive


Explanation : When two current carrying conductors are placed parallelly, there will be a force acting between them. The force is attractive if direction of currents in the conductor is same and it is repulsive if the direction of the currents is opposite. This can easily be explained by right hand rule.

A)
resistance of conductor
B)
reluctance of conductor.
C)
(A) and (B) both in the same way.
D)
None of the above

Correct Answer :   (A) and (B) both in the same way.


Explanation : We know that the cross sectional area is inversely proportional to the resistance of the conductor. In magnetic circuits, reluctance is analogous to the resistance. Hence, the resistance and reluctance would be affected in the same way.

A)
surface current only
B)
volume current only
C)
filament current only
D)
All of the above

Correct Answer :   All of the above


Explanation : Biot-Savarts law states that the differential magnetic field intensity dH produced at a point P by the differential current element Idl. This is the only one law is available to relate the magnetic intensity and the different type of current distribution. The given equations show the different relations between the magnetic intensity and the currents.

228 .
If the height of transmitting and receiving antenna in a LOS system are 49 meter and a 9 meter respectively then the distance up to which communication may be possible is about
A)
40 km
B)
110 km
C)
400 km
D)
1100 km

Correct Answer :   40 km

A)
0.033
B)
0.33
C)
0.66
D)
3.3

Correct Answer :   0.66


Explanation :

A)
resonant antenna
B)
coupled antenna
C)
non-resonant antenna
D)
None of the above

Correct Answer :   non-resonant antenna

A)
is caused by reflections from the ground
B)
arises only with the spherical wave fronts
C)
may occur around the edge of a sharp obstacle
D)
will occur when the waves pass through a large slot

Correct Answer :   may occur around the edge of a sharp obstacle

A)
Longitudinal
B)
Transverse magnetic
C)
Transverse electric
D)
Transverse Electromagnetic

Correct Answer :   Transverse magnetic

A)
0.4456°
B)
1.4456°
C)
2.4456°
D)
3.4456°

Correct Answer :   2.4456°


Explanation :

A)
ionospheric propagation
B)
ground wave propagation
C)
medium wave propagation
D)
line of sight communication

Correct Answer :   line of sight communication

A)
yagi
B)
turnstile
C)
marconi
D)
grounded

Correct Answer :   yagi

A)
Tilting
B)
Loss of line-of-eight conditions
C)
Interference from the sky wave
D)
Maximum single hop distance limitation

Correct Answer :   Tilting

A)
circular shape
B)
hexagonal shape
C)
square on triangular shape
D)
Any of the above

Correct Answer :   Any of the above

A)
the polarization of the waves
B)
their frequency
C)
the polarization of atmosphere
D)
their distance from the transmitter

Correct Answer :   their frequency

A)
balun
B)
double stub
C)
broadband directional coupler
D)
single stub of adjustable position

Correct Answer :   double stub

A)
strongly reflected by the ionosphere
B)
strongly absorbed by the ionosphere
C)
transmitted through the ionosphere
D)
unable to reach the ionosphere because of strong absorption in the lower atmosphere

Correct Answer :   transmitted through the ionosphere

A)
unique nature of atom.
B)
most of the volume of an atom is empty space.
C)
the atoms can neither be created nor be destroyed.
D)
None of the above

Correct Answer :   the atoms can neither be created nor be destroyed.


Explanation : The Dalton’s atomic theory deals with chemical reactions. During chemical reactions, an atom can neither be created nor be destroyed. But, in radio active reaction, new atoms can be created by dividing other atoms. Thus, this is the very big drawback of this method.

A)
directly proportional to the distance between them
B)
inversely proportional to the distance between them
C)
directly proportional to the square of the distance between them
D)
inversely proportional to the square of the distance between them.

Correct Answer :   inversely proportional to the square of the distance between them.


Explanation : Coulomb’s law states that the force of attraction or repulsion, F between two charges q1 and q2 coulombs, connected at two different points in a medium, is directly proportional to the product of their magnitude and inversely proportional to the square of distance r between them.

243 .
A metal surface with 1 meter radius and surface charge density of 20 coulombs / m2 is enclosed in a 10 m side cube. The total outward electric displacement normal to the surface of the cube is
A)
80π coulombs
B)
40π coulombs
C)
10π coulombs
D)
None of the above

Correct Answer :   80π coulombs


Explaination :

A)
1.15 joule
B)
0.15 joule
C)
0.015 joule
D)
0.015 joule

Correct Answer :   0.15 joule


Explanation :

A)
11 year sun spot cycle
B)
Height of ionospheric layer
C)
Received frequency by receiver
D)
Electron density of the ionospheric layer

Correct Answer :   Received frequency by receiver

A)
Circle
B)
Elliptical
C)
Semicircle
D)
Cardoid or Limacon

Correct Answer :   Cardoid or Limacon

A)
The value of current
B)
The weight of the conductor
C)
The direction of the conductor
D)
None of the above

Correct Answer :   The value of current

A)
a = 3b
B)
a = 2b
C)
a = b
D)
None of the above

Correct Answer :   a = 2b

249 .
When a wave is incident from the more dense into a less dense medium at an angle equal to or exceeding the critical angle, the wave suffers total internal __________ .
A)
Refraction
B)
Reflection
C)
Transmission
D)
None of the above

Correct Answer :   Refraction

A)
Rain drops may not collect
B)
Dust particles may not accumulate
C)
Charge per unit area becomes very high for lightening to discharge
D)
None of the above

Correct Answer :   Charge per unit area becomes very high for lightening to discharge

A)
Absorption
B)
Polarisation
C)
Scattering
D)
Dispersion

Correct Answer :   Polarisation

A)
Passive satellite
B)
Active satellite
C)
Orbiting satellite
D)
Geostationary satellite

Correct Answer :   Passive satellite

A)
Poor directivity
B)
Low directional coupling
C)
Narrow bandwidth
D)
High standing wave ratio

Correct Answer :   Narrow bandwidth

254 .
In microwave communication links, when fading due to rain attenuation occurs then technique adopted for solving the problem would include
A)
Polarization shifting and code diversity
B)
Amplitude timing and phase correction
C)
Antenna replacement and feed correction
D)
Path diversity and frequency diversity

Correct Answer :   Path diversity and frequency diversity

A)
2.15 db
B)
3 db
C)
4.15 db
D)
6 db

Correct Answer :   2.15 db

A)
Zero
B)
Very low
C)
Very high
D)
Infinite

Correct Answer :   Very low

A)
An isolator
B)
Phase shifter
C)
An attenuator
D)
None of the above

Correct Answer :   An attenuator

A)
Larger frequency than in the free space
B)
Diminishing wavelength than in the free space
C)
Group velocity inversely proportional to wavelength
D)
Larger wavelength than in the free space

Correct Answer :   Larger wavelength than in the free space

A)
Balun transformer
B)
A quarter wave line
C)
Short-circuited stub
D)
A half wave line

Correct Answer :   A quarter wave line

A)
Energy radiated per square metre
B)
Power radiated per square metre
C)
Power radiated per unit solid angle in that direction
D)
None of the above

Correct Answer :   Power radiated per unit solid angle in that direction