Electrical Engineering › Network Theory

Network Analysis MCQ [Free PDF] – 7 Objective Questions with Answers

Every Network Analysis question asked in GPSC AE Electrical, Supervisor Instructor, GPSC DEE Electrical — solve, check instantly, then read the formula and exam tip.

7 PYQs5 subtopics3 examsUpdated 23 Oct 2026
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Dependent Sources (2)

Q1Moderate
This question uses a figure from the original paper. The figure is being added; the answer and explanation are already verified.
Obtain the voltage v in the branch shown in Fig. Q6 for i_2 = −2 A.
View answer & solution
Correct answer: B. −20 V
Quick explanation

The controlling current is signed: i_2 = −2 A. Hence v_x = 15i_2 = −30 V. The two source voltages add algebraically in the marked polarity, so v = v_x + 10 = −20 V.

vx = 15i2 v = vx + 10 v = 15(−2) + 10 = −20 V i2 = −2 A vx = 15i2 vx = 15(−2) = −30 V v = vx + 10 V v = −30 + 10 v = −20 V Bottom → top rise = 10 + (−30) = −20 V
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Q2Hard
This question uses a figure from the original paper. The figure is being added; the answer and explanation are already verified.
Calculate the power dissipated in the 8 Ω resistor in the circuit shown in Fig. Q4.
View answer & solution
Correct answer: A. 8 W
Quick explanation

All four branches share the same two nodes, so one node-voltage equation solves the circuit. Let the top-node voltage be V. Then i₀ = V/2, the dependent source current is i₀/4 = V/8 and the 8 Ω current is V/8. KCL gives V = 8 V, hence P₈Ω = V²/8 = 8 W.

i0 = V/2 id = i0/4 = V/8 i8Ω = V/8 KCL: 6 = V/2 + V/8 + V/8 V = 8 V P8Ω = V²/R = 8²/8 = 8 W i0 = V/2 id = i0/4 = (V/2)/4 = V/8 i8Ω = V/8 6 = V/2 + V/8 + V/8 6 = 4V/8 + V/8 + V/8 6 = 6V/8 = 3V/4 V = 8 V P = V²/R P8Ω = 8²/8 = 8 W i0 = 8/2 = 4 A id = i0/4 = 1 A i8Ω = 8/8 = 1 A 4 + 1 + 1 = 6 A ✓
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Nodal Analysis (2)

Q3Moderate
In nodal analysis, the number of simultaneous equations to be solved is __________.
View answer & solution
Correct answer: C. one less than the number of independent nodes
Quick explanation

C — One less than the number of nodes. After choosing one reference node, the remaining (n − 1) node voltages are the unknowns.

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Q4Easy
Nodal analysis used for solving electrical circuits is based on ___________.
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Correct answer: C. Kirchhoff's Current Law (KCL)
Quick explanation

C — Kirchhoff's Current Law. Nodal analysis writes KCL at each non-reference node with node voltages as unknowns.

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Bridge/Network Reduction (1)

Q5Hard
Find V_AB if i_AB = 5 A.
View answer & solution
Correct answer: D. 34.21V
Quick explanation

With iAB = 5 A, first determine the equivalent resistance seen between A and B from the resistor network. The network reduction gives approximately 6.842 Ω, so VAB = iAB Req ≈ 5 × 6.842 = 34.21 V.

VAB = iAB Req VAB ≈ 5 × 6.842
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Mesh Analysis (1)

Q6Moderate
If 4 equations are required to describe a circuit by Mesh-Current method and there are n nodes, then how many branches are there in the network?
View answer & solution
Correct answer: B. n + 3
Quick explanation

For a connected network, the number of independent meshes is L = b - n + 1. If 4 mesh-current equations are required, 4 = b - n + 1, giving b = n + 3.

L = b - n + 1 4 = b - n + 1 b = n + 3
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Supermesh (1)

Q7Moderate
When there is a current source between two meshes, which technique is used in mesh analysis?
View answer & solution
Correct answer: A. Super mesh
Quick explanation

A — Super mesh. When a current source is shared by two adjacent meshes, they are combined into a supermesh and the source gives the constraint equation.

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