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If there are M meshes, B branches and N nodes including reference node, the number of mesh currents is given as M=?

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If there are M meshes, B branches and N nodes including reference node, the number of mesh currents is given as M=?

(a) B + (N+1)

(b) B + (N-1)

(c) B-(N+1)

(d) B-(N-1)

This question was addressed to me by my college director while I was bunking the class.

This interesting question is from Mesh Analysis in division Steady State AC Analysis of Network Theory

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Correct choice is (d) B-(N-1)

Easy explanation: If there are M meshes, B branches and N nodes including reference node, the number of mesh currents is given as M = B-(N-1).

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