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What will be the number of tie set currents in the given circuit?

What will be the number of tie set currents in the given circuit? Correct Answer 3

Concept:

Tie set matrix:

  • It gives the relation between tie-set currents and branch currents.
  • The rows of a matrix represent the tie-set currents.
  • The columns of a matrix represent branches of the graph.
  • The order of the tie set matrix is (B – N + 1) × b
  • The rank of a tie-set matrix is (B – N + 1)

 

Application:

Circuit Diagram:

[ alt="F1 Shubham Madhuri 11.05.2021 D10" src="//storage.googleapis.com/tb-img/production/21/05/F1_Shubham_Madhuri_11.05.2021_D10.png" style="width: 226px; height: 200px;">

The above figure consists of 4 Nodes and 6 Branches

B = 6, N = 4

The rows of a matrix represent the tie-set currents = (B - N + 1)

= 6 - 4 + 1

= 3

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