In an RC network having 3 loops, the size of the plant matrix A i

In an RC network having 3 loops, the size of the plant matrix A i
| In an RC network having 3 loops, the size of the plant matrix A is:

A. 3 × 3

B. 4 × 4

C. 6 × 6

D. 5 × 5

Please scroll down to see the correct answer and solution guide.

Right Answer is: A

SOLUTION

An RC Network having 3 loops in shown below:

  • The above network can be solved by using three independent loop equations.
  • By applying KVL in the 3-loops, three independent loop equations can be formed.
  • The size of plant matrix ‘A’ is equal to the number of independent loop equations i.e. 3


Therefore the size of plant matrix A is 3 × 3