How many equations are necessary to solve a circuit with two principal nodes?

Question

Question

This question was previously asked in

KVS TGT WET (Work Experience Teacher) 23 Dec 2018 Official Paper

Answer 1

The correct answer is option 4):(1)

Concept:

Principal Node:

It can be defined as a point where terminals of three or more circuit elements are connected together. Nodes 'B' and 'C' in the above circuit given in figure: 1 represent the Principal nodes.

F1 Savita Engineering 23-8-22 D10

Figure :1

In figure 2 given below, the labels A, B, C, and N are used to represent nodes. Nodes N and C are known as principal nodes.

F1 Savita Engineering 23-8-22 D11

Nodal analysis

Nodal analysis is based on Kirchhoff’s current law.
for n’ nodes in a given electrical circuit, there will be ‘n-1’ equations to be solved.
To obtain all the node voltages, ‘n-1’ should be solved.
The number of non-reference nodes and the number of nodal equations obtained are equal.

Calculation:

For a circuit with 2 principal nodes,

n = 2

No of equations = n-1 = 2 -1 = 1