Electric Circuits Questions and Answers – The Node-Voltage Method Versus the Mesh-Current Method

This set of Electric Circuits Multiple Choice Questions & Answers (MCQs) focuses on “TThe Node-Voltage Method Versus the Mesh-Current Method”.

1. Which method is best for voltage sources?
a) Mesh analysis
b) Nodal analysis
c) Superposition principle
d) Differentiation method

Explanation: Every voltage source connected to the reference node reduces the equations to be solved. Thus, the node-voltage method is best for voltage sources.

2. When there is a current source between two loops which method is preferred?
a) Mesh-voltage analysis
b) Node-current analysis
c) Supermesh
d) Supernode

Explanation: Supermesh is taken into consideration when there is a current source n between two loops and is considered as one single loop.

3. Determine the current through 5Ω resistor in the network given below.

a) 3.38A
b) 6.01A
c) 3.27A
d) 1.27A

Explanation: This problem can be solved quickly by using the mesh-current method. 3loops=3 KVL equations. Solving them gives respective currents.

4. Find the power supplied by the dependent voltage source in the circuit given below.

a) 400W
b) 383W
c) 412W
d) 148W

Explanation: 3loops=3KVL equations. Solving them gives currents flowing in the circuit. I1=5A, I2=-1.47A, I3=0.56A .Power supplied by dependent voltage source =0.4V1 (I1-I2).

5. Determine the voltage V2 of the network given.

a) 0V
b) 1V
c) 4/7V
d) -4/7V

Explanation: As there are voltage sources and nodes, node-voltage method is best suitable. Solving gives V1 =4/7V and V2=0 (since there is no voltage source near node2).
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6. If there are b branches and n nodes, then how many node-voltage equations are required?
a) n
b) b+1
c) n-1
d) b

Explanation: If there are n nodes then n-1 nodal equations are required to describe the circuit. Branches do nothing in this case.

7. There are 6 branches and 2 essential nodes then 3 equations are required to describe a circuit in the mesh-current method.
a) True
b) False

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. So, 6-(2-1) =5.

8. Determine V1 of the given network.

a) -0.17V
b) 4.83V
c) 5V
d) 2.62V

Explanation: Supernode: V3-V2=5. Applying KCL at node1 and at supernode gives the equations which on solving, required voltages are obtained.

9. When there is a voltage source between two nodes which method is preferred?
a) Mesh-voltage analysis
b) Node-current analysis
c) Supermesh
d) Supernode

Explanation: Supernode is taken into consideration when there is a voltage source n between two nodes.

10. Which is the best-preferred method to calculate currents flowing in the circuit?
a) Mesh-voltage analysis
b) Node-current analysis
c) Superposition principle
d) Duality principle

Explanation: By KVL, currents can be easily found out in mesh-voltage method.

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