Electric Circuits Questions and Answers – The Node-Voltage Method and Dependent Sources and Some Special Cases

This set of Electric Circuits Multiple Choice Questions & Answers (MCQs) focuses on “The Node-Voltage Method and Dependent Sources and Some Special Cases”.

1. Nodal analysis is mainly based on __________
a) KCL
b) KVL
c) Wheatstone bridge principle

Explanation: Nodal analysis or Node-Voltage method is done by identifying the currents at the node and thereby forming equations.

2. If there are n nodes, then how many node-voltage equations are required?
a) n
b) n+1
c) n-1
d) 1

Explanation: If there are n nodes then n-1 nodal equations are required to describe the circuit.

3. Find VA and VB using Node-Voltage method in the given circuit.

a) 2.5V, 3.6V
b) 2.87V, 3.25V
c) 2.65V, 3.47V
d) 3.15V, 2.76V

Explanation: Node A: VA/2 + (VA-1)/2 + (VA-VB)/1 =2
Node B: (VB-2)/2 + (VB-VA)/1 =1
By solving the above equations required voltages are obtained.

4. A supernode is between _____________
a) Essential node and reference node
b) Two reference nodes
c) Two essential nodes
d) Essential node and neutral path

Explanation: A supernode is between two essential nodes.

5. Find V3 in the circuit given below.

a) 4.833V
b) 2.616V
c) -4.833V
d) -2.616V

Explanation: supernode: V3-V2 = 5V
Node1: 166V1-100V2-66V3 =132
Node3: -166V1+265V2+99V3 =0
On solving the required voltage is obtained.

6. Find all the node voltages in the given circuit containing dependent sources.

a) 10V, 20V, 30V, 40V
b) 15V, 25V, 32V, 45V
c) 10V, -20V, 30V, -40V
d) -15V, 25V, -35V, 45V

Explanation: At supernode: VC-VB=5iX
And ix = (VB-VA)/5. On solving remaining nodes and forming equations, the required voltage values at nodes are obtained.

7. What is the voltage at 2nd terminal in the given circuit?

a) 132.57V
b) 137.25V
c) 173.25V
d) 123.57V

Explanation: Given voltage source 135V is in between essential node and reference node. So that implies V1 =135V. Using this, V2 can be calculated.

8. If there are 5 nodes then the no of nodal equations are ___________
a) 5
b) 0
c) 1
d) 4

Explanation: If there are n nodes then n-1 nodal equations are required to describe the circuit.

9. If there are (N-2+3) Node-Voltage equations then the number of nodes in the circuit are __________
a) N+2
b) N+1
c) N
d) N-1

Explanation: If there are n nodes then n-1 nodal equations are required to describe the circuit. So, given N-2+3 i.e. N+1 nodal equations and it implies N+2 nodes.

10. The reference node is also known as __________
a) Essential node
b) Principle node
c) Datum node
d) Neutral node

Explanation: The node taken for reference in the network is known as reference node or datum node.

11. If there are 9 nodes, then how many node-voltage equations are required?
a) 9
b) 10
c) 8
d) 1

Explanation: If there are n nodes then n-1 nodal equations are required to describe the circuit.

12. There are 13 branches in a complicated network and nearly 8 nodes. How many equations are required to solve the circuit in node-voltage method?
a) 7
b) 13
c) 5
d) 6

Explanation: Branches number is not required in this method. Only nodes number is required.

Sanfoundry Global Education & Learning Series – Electric Circuits.

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