Mesh Analysis MCQ [Free PDF] - Objective Question Answer for Mesh Analysis Quiz

21. Find the value of the node voltage V of the given circuit.

A. − 60V
B. 60V
C. 40V
D. − 40V

Answer: A

The node equation is:

− 2 + 8 + V/10 = 0 = > 6 + v/10 = 0 = > v = − 10 × 6 = − 60V

Solving this equation, we get V = − 60V.

22. Calculate the node voltages V1 and V2 of the given circuit.

A. 12V, 13V
B. 26.67V, 11.33V
C. 11.33V, 26.67V
D. 13V, 12V

Answer: C

The nodal equations are:

2V1 − V2 = − 4
− 4V1 + 5V2 = 88

Solving these equations simultaneously, we get

V1 = 11.33V and V2 = 26.67V.

23. Find the node voltage V using the Nodal Analysis method.

A. 1V
B. 2V
C. 3V
D. 4V

Answer: D

The nodal equation is:

(V − 10)/2 + (V − 7)/3 + V/1 = 0

Solving for V, we get V = 4V.

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24. Calculate the node voltages of the given circuit.

A. 30.77V, 7.52V, 18.82V
B. 32.34V, 7.87V, 8.78V
C. 34.34V, 8.99V, 8.67V
D. 45.44V, 6.67V, 7.77V

Answer: A

The nodal equations, considering V1, V2 and V3 as the first, second and third node respectively, are:

− 8 + (V1 − V2)/3 − 3 + (V1 − V3)/4 = 0
3 + V2 + (V2 − V3)/7 + (v2 − V1)/3 = 0
− 2.5 + (V3 − V2)/7 + (V3 − V1)/4 + V3/5 = 0

Solving the equations simultaneously, we get

V1 = 30.77V, V2 = 7.52V and V3 = 18.82V.

25. Find the voltage of V1 and V2 using Nodal Analysis.

A. 87.23V, 29.23V
B. 23.32V, 46.45V
C. 64.28V, 16.42V
D. 56.32V, 78, 87V

Answer: C

The nodal equations are:

0.3V1 − 0.2V2 = 16

− V1 + 3V2 = − 15

Solving these equations simultaneously, we get

V1 = 64.28V and V2 = 16.42V.

26. Nodal analysis is generally used to determine_______

A. Voltage
B. Current
C. Resistance
D. Power

Answer: A

The nodal analysis uses Kirchhoff’s Current Law to find all the node voltages. Hence it is a method used to determine the voltage.

27. If there are 10 nodes in a circuit, how many equations do we get?

A. 10
B. 9
C. 8
D. 7

Answer: B

One node is taken as a reference node so, the number of equations we get is always one less than the number of nodes in the circuit, hence for 10 nodes we get 9 equations.

28. Nodal analysis can be applied for________

A. Planar networks
B. Non-planar networks
C. Both planar and non-planar networks
D. Neither planar nor non-planar networks

Answer: C

Nodal analysis can be applied for both planar and non-planar networks since each node, whether it is planar or non-planar, can be assigned a voltage.

29. How many nodes are taken as reference nodes in a nodal analysis?

A. 1
B. 2
C. 3
D. 4

Answer: A

In the nodal analysis, one node is treated as the reference node and the voltage at that point is taken as 0.

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