EEE : Branch, Loop and Node Analyses MCQs with Answers

1 .
In assigning the direction of branch currents,
A)  the directions are critical
B)  they must point into a node
C)  the directions are not critical
D)  they must point out of a node

Correct Answer :   the directions are not critical

2 .
The first row of a certain determinant has the numbers 3 and 5. The second row has the numbers 7 and 2. The value of this determinant is
A)  –29
B)  –31
C)  31
D)  39

Correct Answer :   –29

3 .
The first row of a certain determinant has the numbers 10 and 6. The second row has the numbers 3 and 5. The value of this determinant is
A)  18
B)  32
C)  50
D)  –32

Correct Answer :   32

4 .
The node voltage method is based on Kirchhoff's voltage law.
A)  True
B)  False
C)  Can Not Say
D)  None of the above

Correct Answer :   False

5 .
A loop current is an actual current in a branch.
A)  True
B)  False
C)  Can Not Say
D)  None of the above

Correct Answer :   False

6 .
The branch current method uses
A)  Kirchhoff's voltage and current laws
B)  Thevenin's theorem and Ohm's law
C)  Kirchhoff's current law and Ohm's law
D)  The superposition theorem and Thevenin's theorem

Correct Answer :   Kirchhoff's voltage and current laws

7 .
Find the node voltage VA

A)  12 V
A)  
B)  6 V
B)  
C)  3 V
C)  
D)  4.25 V
D)  

Correct Answer :   4.25 V

8 .
What is the current through R2?
A)  1.73 A
A)  
B)  3.19 A
B)  
C)  319 mA
C)  
D)  173 mA
D)  

Correct Answer :   173 mA

9 .
Generally, the mesh current method results in fewer equations than the node voltage method.
A)  True
B)  False
C)  Can Not Say
D)  None of the above

Correct Answer :   False

10 .
Third-order determinants are evaluated by the expansion method or by the cofactor method.
A)  True
B)  False
C)  Can Not Say
D)  None of the above

Correct Answer :   True

11 .
What is the voltage drop across R1?
A)  7.82 V
A)  
B)  9.18 V
B)  
C)  850 mV
C)  
D)  918 mV
D)  

Correct Answer :   7.82 V

12 .
What is the voltage drop across R2?
A)  1.5 V
A)  
B)  3.5 V
B)  
C)  4.18 V
C)  
D)  145 mV
D)  

Correct Answer :   4.18 V

13 .

Find I1.

4I1 + 4I2 = 2
6I1 + 7I2 = 4
A)  –0.5 A
A)  
B)  –50 mA
B)  
C)  0.5 A
C)  
D)  50 mA
D)  

Correct Answer :   –0.5 A

14 .
What is the voltage drop across R3?
A)  1.80 V
A)  
B)  11.25 V
B)  
C)  112 mV
C)  
D)  180 mV
D)  

Correct Answer :   180 mV

15 .
The expansion method for evaluating determinants is
A)  better than any other method
B)  good for only one determinant
C)  more flexible than the cofactor method
D)  good for second- and third-order determinants

Correct Answer :   good for second- and third-order determinants

16 .
The mesh current method is based on Kirchhoff's current law.
A)  True
B)  False
C)  Can Not Say
D)  None of the above

Correct Answer :   False

17 .
The branch current method is based on Kirchhoff's voltage law and Kirchhoff's current law.
A)  True
B)  False
C)  Can Not Say
D)  None of the above

Correct Answer :   True

18 .
Find branch current IR2

A)  –5.4 mA
A)  
B)  5.4 mA
B)  
C)  113.0 mA
C)  
D)  119.6 mA
D)  

Correct Answer :   113.0 mA

19 .
Find the node voltage VA.
A)  5.18 V
A)  
B)  9.56 V
B)  
C)  518 mV
C)  
D)  956 mV
D)  

Correct Answer :   5.18 V

Explaination : The voltage drop through R2 is 5.18v.

20 .

Find I2.

4I1 + 4I2 = 2
6I1 + 7I2 = 4
A)  –1 A
A)  
B)  1 A
B)  
C)  –100 mA
C)  
D)  100 mA
D)  

Correct Answer :   1 A

21 .
Second-order determinants are evaluated by subtracting the signed cross-products.
A)  True
B)  False
C)  Can Not Say
D)  None of the above

Correct Answer :   False

22 .
The mesh method can be applied to circuits with any number of loops.
A)  True
B)  False
C)  Can Not Say
D)  None of the above

Correct Answer :   True

23 .
Using the mesh current method, find the branch current, IR1, in the above figure.
A)  12.5 A
A)  
B)  12.5 mA
B)  
C)  115 mA
C)  
D)  135 mA
D)  

Correct Answer :   115 mA

24 .
When assigning branch currents, you need not be concerned with the direction you choose.
A)  True
B)  False
C)  Can Not Say
D)  None of the above

Correct Answer :   True

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