Network Theory Questions and Answers – Mesh Analysis

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Mesh Analysis”.

1. Mesh analysis is applicable for non planar networks also.
a) true
b) false
View Answer

Answer: b
Explanation: Mesh analysis is applicable only for planar networks. A circuit is said to be planar if it can be drawn on a plane surface without crossovers.

2. A mesh is a loop which contains ____ number of loops within it.
a) 1
b) 2
c) 3
d) no loop
View Answer

Answer: d
Explanation: A loop is a closed path. A mesh is defined as a loop which does not contain any other loops within it.

3. Consider the circuit shown below. The number mesh equations that can be formed are?
The number mesh equations that can be formed are 2 in given circuit
a) 1
b) 2
c) 3
d) 4
View Answer

Answer: b
Explanation: We know if there are n loops in the circuit, n mesh equations can be formed. So as there are 2 loops in the circuit. So 2 mesh equations can be formed.
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4. In the figure shown below, the current through loop 1 be I1 and through the loop 2 be I2, then the current flowing through the resistor R2 will be?
The number mesh equations that can be formed are 2 in given circuit
a) I1
b) I2
c) I1-I2
d) I1+I2
View Answer

Answer: c
Explanation: Through the resistor R2 both the currents I1, I2 are flowing. So the current through R2 will be I1-I2.

5. If there are 5 branches and 4 nodes in graph, then the number of mesh equations that can be formed are?
a) 2
b) 4
c) 6
d) 8
View Answer

Answer: a
Explanation: Number of mesh equations = B-(N-1). Given number of branches = 5 and number of nodes = 4. So Number of mesh equations = 5-(4-1) = 2.
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6. Consider the circuit shown in the figure. Find voltage Vx.
Find voltage Vx in given circuit
a) 1
b) 1.25
c) 1.5
d) 1.75
View Answer

Answer: b
Explanation: Consider current I1 (CW) in the loop 1 and I2 (ACW) in the loop 2. So, the equations will be Vx+I2-I1=0. I1=5/2=2.5A. I2=4Vx/4= Vx. Vx+Vx-2.5=0. Vx = 1.25V.

7. Consider the circuit shown below. Find the current I1 (A).
Find the current I1 (A) in given circuit
a) 3.32
b) 3.78
c) 5.33
d) 6.38
View Answer

Answer: b
Explanation: According to mesh analysis,
(1+3+6)I1 – 3(I2) – 6(I3) = 10
-3(I1) + (2+5+3)I2 = 4
-6(I1) + 10(I3) = – 4 + 20
On solving the above equations, we get I1 = 3.78A.
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8. Consider the following figure. Find the current I2 (A).
Find the current I1 (A) in given circuit
a) 1.5
b) 2.6
c) 3.6
d) 4.6
View Answer

Answer: a
Explanation: According to mesh analysis,
(1+3+6)I1 – 3(I2) – 6(I3) = 10
-3(I1) + (2+5+3)I2 = 4
-6(I1) + 10(I3) = – 4 + 20
On solving the above equations, we get I2 = 1.53A.

9. Consider the following figure. Find the current I3 (A).
Find the current I1 (A) in given circuit
a) 4.34
b) 3.86
c) 5.45
d) 5.72
View Answer

Answer: b
Explanation: According to mesh analysis,
(1+3+6)I1 – 3(I2) – 6(I3) = 10
-3(I1) + (2+5+3)I2 = 4
-6(I1) + 10(I3) = – 4 + 20
On solving the above equations, we get I3 = 3.86A.
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10. Find current through R2 resistor.
Find current through R2 resistor in given circuit
a) 3
b) 3.25
c) 3.5
d) 3.75
View Answer

Answer: d
Explanation: Applying mesh analysis, 5(I1) + 2(I1-I2) = 10. 10(I2) + 2(I2-I1) + 40 = 0. On solving, I1 = 0.5A, I2 = -3.25A. So current through R2 resistor is 0.5-(-3.25) = 3.75 A.

Sanfoundry Global Education & Learning Series – Network Theory.

To practice all areas of Network Theory, here is complete set of 1000+ Multiple Choice Questions and Answers.

If you find a mistake in question / option / answer, kindly take a screenshot and email to [email protected]

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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