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.
Correct Answer : Direction finding
Correct Answer : 100 Ω
Correct Answer : 2°
Explaination :
Correct Answer : 2 μm
Correct Answer : 196 W
Correct Answer : 4 cm
Explanation :
Correct Answer : 7.8 Ω
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.
Correct Answer : first law
Explanation : Faraday’s law of electromagnetic induction states1. 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.
Correct Answer : Vector
Correct Answer : Folded dipole
Correct Answer : Retardation
Correct Answer : 400 km
Correct Answer : Highly directional
Correct Answer : Higher than
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.
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.
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.
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.
Correct Answer : Cross product
Explanation : Lorentz force is given by, F = q (v x B).Thus cross product is the answer.
Correct Answer : A x (B . C) = scalar value
Explanation : Cross product of dot product of two vectors is a vector value.
Correct Answer : Rectangular coordinate system
Explanation : The other name for Cartesian is rectangular system, which is given by (x,y,z).
Correct Answer : dV = dx dy dz
Explanation : The volume of a parallelepiped is given by product of differential length, breadth and height.
Correct Answer : Cartesian system
Explanation : Since the container possesses dimensions of a square (length, breadth and height), it can be found by Cartesian system.
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.
Correct Answer : -3.6j – 4k
Explanation : Convert the Cartesian form to cylindrical form by formula and substitute the points to get -3.6j – 4k.
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.
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.
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.
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.
Correct Answer : Circular coordinates
Explanation : The radius in the polar coordinates is the Pythagorean triplet-(r,x,y).Thus it is the circular coordinates.
Correct Answer : Line integral
Explanation : The work done is given by, W = -Q ∫E dl. Thus it is line integral.
Correct Answer : 6.25
Explanation : Projection of A on B = (A . B)/|B|. Thus the answer is 40/6.4= 6.25.
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.
Correct Answer : (6.325,-71.57,3)
Explanation : ρ = √(x2+y2) = √40 = 6.325Φ = tan-1(y/x) = tan-1(-6/2) = -71.57z = 3.
Correct Answer : Cylindrical system
Explanation : The cylindrical system is of the form (ρ, φ, z), which relates the point given in the question.
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)kAt (5, π/2, -2), r = √(52+-22) = √29sin θ = 5/√29 and cos θ = -2/√29Thus, B = 2.467i + j + 1.167k.
Correct Answer : Easy to design
Explanation : Due to linear design, the desired dimensions can be easily constructed using rectangular waveguides than circular ones.
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.
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.
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.
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).
Correct Answer : Differential equation
Explanation : Since gradient is the maximum space rate of change of flux, it can be replaced by differential equations.
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.
Explanation : The vector given is a position vector. The divergence of any position vector is always 3.
Correct Answer : 0
Explanation : Div (yi + zj + xk) = Dx(y) + Dy(z) + Dz(x), which is zero. Here D refers to partial differentiation.
Correct Answer : 0, solenoidal
Explaination : Div(F) = Dx(30) + Dy(2xy) + Dz(5xz2) = 0 + 2x + 10xz = 2x + 10xzDivergence 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.
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.
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.
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).
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Correct Answer : 5000
Explanation : The current density is given by, J = σE. To find conductivity, σ = J/E = 1/200 X 10-6 = 5000.
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.
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.
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.
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.
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.
Correct Answer : Vertical grounded wire type
Correct Answer : Top loading of antenna
Correct Answer : The impedance of one is the complex conjugate of the other
Correct Answer : All of the above
Correct Answer : An increase in the value of reactance
Correct Answer : 1.5
Correct Answer : Log-periodic
Correct Answer : Retarded
Correct Answer : Balun
Correct Answer : A standing wave which is not progressing
Correct Answer : Distance of the point from the antenna
Correct Answer : Circle
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.
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.
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.
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.
Correct Answer : 13.6 MHz
Correct Answer : 90°
Correct Answer : 47.33
Correct Answer : reduced by a factor of 1/3
Correct Answer : 4 mW
Correct Answer : Lowest cut off frequency
Explanation : Lowest cut off frequency or highest wave-length in a waveguide gives dominant modes.
Correct Answer : 226 Ω
Correct Answer : 15.9 radians/km
Correct Answer : 12.50 cm
Correct Answer : 547.7 Ω
Correct Answer : 1.3 π
Correct Answer : 629 Ω
Correct Answer : 4.6 V
Correct Answer : 60°
Correct Answer : ∇ x D = 0
Explanation : Inside a conductor free charge is zero, hence, ∇ x D = 0.
Correct Answer : 30 Ω
Correct Answer : 1.1
Correct Answer : 7.69 - J11.54 Ω
Correct Answer : 45 MHz
Correct Answer : 10 watt
Correct Answer : 51.25
Correct Answer : 25%
Correct Answer : Power flow in electromagnetic
Explanation : P = E x H
Correct Answer : 60 MHz
MUF = fc sec θ
Correct Answer : 20 mm
Correct Answer : (30 - j 40) Ω
Correct Answer : 1.08 + j 0.32
Correct Answer : 152 km
Correct Answer : 73 W
P = I2 . R => (1)2 . 73 => 73 watt.
Here, vertical wire will be considered as dipole.
Correct Answer : 5 meter
Correct Answer : 140°
Correct Answer : 62.8
Correct Answer : 89.159%
Correct Answer : None of the above
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.
Correct Answer : 60
Correct Answer : direction of electric field
Explanation : Direction of electric field is to be taken as reference.
Correct Answer : 26.66
Correct Answer : 78%
Correct Answer : 7.5 GHz
Correct Answer : 657 Ω
Correct Answer : 5 GHz
Correct Answer : 0.5
Explanation : μ = sin i
Correct Answer : 2
Correct Answer : 0.1 N.
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.
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.
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.
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 = 0.5nCOn calculating the force with q1 = q2 = 0.5nC, F = 1.404μN.
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.
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).
Explanation : Force is the product of charge and electric field.F = q X E = 2 X 1 = 2 N.
Correct Answer : 450,000
Explaination : E = Q/ (4∏εor2)= (2 X 10-6)/(4∏ X εo X 0.22) = 450,000 V/m.
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.
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.
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.
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.
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.
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.
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.
Correct Answer : 4
Explanation : Total flux leaving the entire surface is, ψ = 4πr2D from Gauss law. Ψ = 4π(1/16π2) X 16π = 4
Correct Answer : 18
Explanation : V = Q/(4πεr), where r = 1mV = (2 X 10-9)/(4πε x 1) = 18 volts.
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.
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.
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.
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.
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.
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 = QD(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.
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.
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.
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.
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.
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.
Correct Answer : 48
Explanation : The work done is the product of charge and potential.W = Q X V = 2 X 24 = 48 units.
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.
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
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.
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.
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.
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.
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.
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.
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.
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.
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.
Correct Answer : Diamagnetism
Explanation : Since superconductors have very good conductivity at low temperatures (σ->∞), they have nearly zero resistivity and exhibit perfect diamagnetism.
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).
Correct Answer : Electric dipole moment
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.
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.
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.
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.
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.
Correct Answer : 1000
Correct Answer : 2400
Explanation : The convection current density is given by, J = ρeVJ = 200 X 12= 2400 units.
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.
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.
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.
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.
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.
Explanation : Due to perfect diamagnetism in a superconductor, its magnetic susceptibility will be negative. This phenomenon is called Meissner effect.
Correct Answer : 25
Explanation : The conduction current density is given by, Jc = σE. To get conductivity, σ = J/E = 100/4 = 25 units.
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.
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.
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.
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).
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.
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.
Correct Answer : tan 40
Explanation : The loss tangent is given by tan 2θn, where θn = 20. Thus the loss tangent will be tan 40.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Explanation : At the boundary of a conductor- free space interface, the flux density is equal to the charge density. Thus D = ρv = 24 units.
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.
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.
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.
Correct Answer : At waveguide can be coupled to a coaxial cable
Correct Answer : Hollow rectangular conducting tube through which electromagnetic waves can be propagat-ed
Correct Answer : UHF
Correct Answer : With a reflector and one or more directors
Correct Answer : Front to back ratio
Correct Answer : 3000 to 30000 MHz
Correct Answer : Zero
Correct Answer : Microwave frequency
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.
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.
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.
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.
Correct Answer : 40 km
Correct Answer : 0.66
Correct Answer : non-resonant antenna
Correct Answer : may occur around the edge of a sharp obstacle
Correct Answer : Transverse magnetic
Correct Answer : 2.4456°
Correct Answer : line of sight communication
Correct Answer : yagi
Correct Answer : Tilting
Correct Answer : Any of the above
Correct Answer : their frequency
Correct Answer : double stub
Correct Answer : transmitted through the ionosphere
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.
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.
Correct Answer : 80π coulombs
Correct Answer : 0.15 joule
Correct Answer : Received frequency by receiver
Correct Answer : Cardoid or Limacon
Correct Answer : The value of current
Correct Answer : a = 2b
Correct Answer : Refraction
Correct Answer : Charge per unit area becomes very high for lightening to discharge
Correct Answer : Polarisation
Correct Answer : Passive satellite
Correct Answer : Narrow bandwidth
Correct Answer : Path diversity and frequency diversity
Correct Answer : 2.15 db
Correct Answer : Very low
Correct Answer : An attenuator
Correct Answer : Larger wavelength than in the free space
Correct Answer : A quarter wave line
Correct Answer : Power radiated per unit solid angle in that direction