Question

According to Millman’s Theorem, if there are n voltage sources with n internal resistances respectively, are in parallel, then the value of equivalent voltage source is?

(a) V^‘=(V1G1+V2G2+⋯.+VnGn)

(b) V^‘=((V1G1+V2G2+⋯.+VnGn))/((1/G1+1/G2+⋯1/Gn))

(c) V^‘=((V1G1+V2G2+⋯.+VnGn))/(G1+G2+⋯Gn)

(d) V^‘=((V1/G1+V2/G2+⋯.+Vn/Gn))/( G1+G2+⋯Gn)

I have been asked this question in an online quiz.

This interesting question is from Millman’s Theorem topic in chapter Useful Theorems in Circuit Analysis of Network Theory

Answer 1

Correct option is (c) V^‘=((V1G1+V2G2+⋯.+VnGn))/(G1+G2+⋯Gn)

Explanation: The value of equivalent voltage source is V^‘= ((V1G1+V2G2+⋯.+VnGn))/(G1+G2+⋯Gn).