Question

According to Millman’s Theorem, if there are n current sources with n internal conductances respectively, are in series, then these sources are replaced by?

(a) single voltage source V’ in parallel with G’

(b) single current source I’ in series with G’

(c) single current source I’ in parallel with G’

(d) single voltage source V’ in series with G’

The question was asked in an international level competition.

My question comes from Millman’s Theorem topic in section Useful Theorems in Circuit Analysis of Network Theory

Answer 1

Correct answer is (c) single current source I’ in parallel with G’

The best explanation: Millman’s Theorem states that if there are current sources I1,I2,…… In with internal conductances G1,G2,…..Gn, respectively, are in series, then these sources are replaced by single current source I’ in parallel with G’.