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 resistance is?

(a) R’=G1+G2+⋯Gn

(b) R’=1/G1+1/G2+⋯1/Gn

(c) R’=1/((G1+G2+⋯Gn))

(d) R’=1/(1/G1+1/G2+⋯1/Gn)

The question was posed to me in an internship interview.

My question is taken from Millman’s Theorem topic in division Useful Theorems in Circuit Analysis of Network Theory

Answer 1

Correct choice is (c) R’=1/((G1+G2+⋯Gn))

For explanation: Let the equivalent resistance is R’. The value of equivalent resistance is R’=1/((G1+G2+⋯Gn)).