250+ TOP MCQs on Supermesh Analysis and Answers

Network Theory Multiple Choice Questions on “Supermesh Analysis”.

1. Consider the circuit shown below. Find the current I₁ (A..

A. 1
B. 1.33
C. 1.66
D. 2

Answer: B
Clarification: Applying Super mesh analysis, the equations will be I₂-I₁=2 -10+2I₁+I₂+4=0. On solving the above equations, I₁=1.33A.

2. Consider the circuit shown below. Find the current I₂ (A..

A. 1.33
B. 2.33
C. 3.33
D. 4.33

Answer: C
Clarification: Applying Super mesh analysis, the equations will be I₂-I₁=2
-10+2I₁+I₂+4=0. On solving the above equations, I₂=3.33A.

3.Consider the circuit shown below. Find the current I₁ (A..

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

Answer: C
Clarification: Applying Super mesh analysis, the equations will be I₁+I₁+10+I₂+I₂=0. I₁+I₂=-5. I₂-I₁=1. On solving, I₁=-3A.

4. Consider the circuit shown below. Find the current I₂ (A..

A. -2
B. -1
C. 2
D. 1

Answer: A
Clarification: Applying Super mesh analysis, the equations will be I₁+I₁+10+I₂+I₂=0. I₁+I₂=-5. I₂-I₁=1. On solving, I₂=-2A.

5. Find the power (W) supplied by the voltage source in the following figure.

A. 0
B. 1
C. 2
D. 3

Answer: A
Clarification: I₃-I₂=2. As I₂=-2A, I₃=0A. Th term power is the product of voltage and current. So, power supplied by source = 10×0=0W.

6. Find the current i₁ in the circuit shown below.

A. 8
B. 9
C. 10
D. 11

Answer: C
Clarification: The current in the first loop is equal to 10A. So the current i₁ in the circuit is i₁ = 10A.

7. Find the current i₂ in the circuit shown below.

A. 6.27
B. 7.27
C. 8.27
D. 9.27

Answer: B
Clarification: For 2nd loop, 10 + 2(i₂-i₃) + 3(i₂-i₁) = 0. For 3rd loop, i₃ + 2(i₃-i₂)=10. As i₁=10A, On solving above equations, we get i₂=7.27A.

8. Find the current i₃ in the circuit shown below.

A. 8.18
B. 9.18
C. 10.18
D. 8.8

Answer: A
Clarification: For 2nd loop, 10 + 2(i₂-i₃) + 3(i₂-i₁) = 0. For 3rd loop, i₃ + 2(i₃-i₂)=10. As i₁=10A, On solving above equations, we get i₃=8.18A.

9. Find the current I₁ in the circuit shown below.

A. 8
B. -8
C. 9
D. -9

Answer: B
Clarification: Applying Super Mesh analysis, (10+5)I₁ – 10(I₂) – 5(I₃) = 50. 2(I₂) + I₃ + 5(I₃-I₁) + 10(I₂-I₁) = 0. I₂ – I₃ = 2. On solving above equations, we get I₁=-8A.

10. Find the current I₂ in the circuit shown below.

A. 5.3
B. -5.3
C. 7.3
D. -7.3

Answer: D
Clarification: Applying Super Mesh analysis, (10+5)I₁-10(I₂)-5(I₃) = 50. 2(I₂) + I₃ + 5(I₃-I₁) + 10(I₂-I₁) = 0. I₂ – I₃ = 2. On solving above equations, we get I₂=-7.3A.