Question

In the figure given below, the voltage source provides the circuit with a voltage V. The number of non-planar graph of independent loop equations is  ______________

(a) 8

(b) 12

(c) 7

(d) 5

The question was asked in examination.

This intriguing question originated from Problems Involving Dot Conventions topic in portion Resonance & Magnetically Coupled Circuit of Network Theory

Answer 1

The correct choice is (d) 5

Explanation: The total number of independent loop equations are given by L = B – N + 1 where,

L = number of loop equations

B = number of branches = 12

N = number of nodes = 8

∴ L = 12 – 8 + 1 = 5.