# Electric Circuits Questions and Answers – The Mesh-Current Method and Dependent Sources and Some Special Cases

This set of Electric Circuits Questions and Answers for Experienced people focuses on “The Mesh-Current Method and Dependent Sources and Some Special Cases”.

1. The loop which does not contain any other inner loop is known as _____________
a) A node
b) A mesh
c) A branch
d) A super mesh

Explanation: A mesh is defined as a loop which does not contain any other loop within it.

2. If there are 6 branches and 4 essential nodes, how many equations are required to describe a circuit in mesh-current method?
a) 3
b) 6
c) 4
d) 2

Explanation: In Mesh-Current method, b-(n-1) equations are required to describe the circuit. b= the number of branches and n= the number of essential nodes.

3. Find the current flowing through 5Ω resistor in the given circuit.

a) 0.57A
b) 0.64A
c) 0.78A
d) 0.89A

Explanation: There are 3 meshes in the given circuit. Assuming currents I1, I2, I3 in the 3 meshes and by applying KVL, equations will be obtained which on solving gives the respective currents flowing in the circuits.

4. A Super Mesh analysis could be done when there is a common _____________ between any two loops.
a) Voltage source
b) Current source
c) Resistor
d) Both voltage and current source

Explanation: A Super Mesh analysis could be done when there is a common current source between any two loops.

5. Calculate the current flowing through 10Ω resistor in the circuit shown below.

a) ±0.435A
b) ±0.985A
c) 1.217A
d) 2.782A

Explanation: Loop2 and loop3 forms a supermesh.
Supermesh: I3-I2=4
Loop1: 11I1-10I2=2
KVL at Supermesh: -2I1+3I2+3I3=0
Solving these gives the currents flowing in the circuit and current through 10Ω resistor is either I1-I2 or I2-I1.
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6. Find the power delivered by the voltage source in the network given below.

a) 65Watts
b) 72Watts
c) 63Watts
d) 76Watts

Explanation: 3 loops and a supermesh between loop1 and loop3. Using KVL currents are found out. I1=9A, I2=2.5A, I3=2A. As voltage source is in 1st loop, Power delivered by voltage source=V*I1.

7. The Mesh-Current method is applicable only for ___________
a) Non-linear networks
b) Equivalent networks
c) Non-planar networks
d) Planar networks

Explanation: The Mesh-Current method is applicable only for Planar networks. A network is said to be planar if there are no crossovers in it and it can be drawn freely on a plane surface.

8. Find the value of VX in the circuit given below.

a) –0.8A
b) +0.8A
c) -4.8A
d) +4.8A

Explanation: Applying KVL, currents could be found out. I1=0.4A, I2=2.4A. VX=-I1R1.

9. A Supermesh is formed between two loops which share a common voltage source.
a) True
b) False

Explanation: Meshes that share a current source with other meshes, none of which contains a current source in the outer loop, forms a supermesh.

10. If 4 equations are required to describe a circuit by Mesh-Current method and there are n nodes. How many branches are there in the network?
a) n+5
b) n+3
c) n
d) n-1

Explanation: Standard formulae: b-(n-1)
Given b-(n-1) =4 -> b=4+ (n-1) =n+3.

11. If there are 16 branches and 5 essential nodes, how many equations are required to describe a circuit in mesh-current method?
a) 12
b) 16
c) 21
d) 9

Explanation: In Mesh-Current method, b-(n-1) equations are required to describe the circuit. b=the number of branches and n= the number of essential nodes.

12. Determine the current through 3Ω resistor in the network given below.

a) 2A
b) 3A
c) 4A
d) -2A

Explanation: Mesh1 and Mesh2 form a super mesh. Assuming currents I1 and I2 and applying KVL, the current through required resistor is found out.

13. Mesh analysis is best suitable for _____________
a) Current sources
b) Voltage sources
c) Complex elements
d) Unilateral elements

Explanation: Mesh analysis is best suitable for Current sources.

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