Question

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

(a) I^‘=((I1R1+I2R2+⋯.+InRn))/(R1+R2+⋯Rn)

(b) I’=I1R1+I2R2+⋯.+InRn

(c) I’=((I1/R1+I2/R2+⋯.+In/Rn))/(R1+R2+⋯Rn)

(d) I’=I1/R1+I2/R2+⋯.+In/Rn

This question was posed to me in homework.

The query is from Millman’s Theorem topic in division Useful Theorems in Circuit Analysis of Network Theory

Answer 1

Right answer is (a) I^‘=((I1R1+I2R2+⋯.+InRn))/(R1+R2+⋯Rn)

The explanation: The value of equivalent current source is I^‘=((I1R1+I2R2+⋯.+InRn))/(R1+R2+⋯Rn).