Question

A 3 V DC supply with an internal resistance of 2 Ω supplies a passive non-linear resistance characterized by the relation VNL = \(I_{NL}^{2}\). The power dissipated in the resistance is ___________

(a) 1 W

(b) 1.5 W

(c) 2.5 W

(d) 3 W

The question was asked in an interview for internship.

Question is from Advanced Problems on Millman’s Theorem and Maximum Power Transfer Theorem in division Useful Theorems in Circuit Analysis of Network Theory

Answer 1

The correct answer is (a) 1 W

The best explanation: 3 = 2I + I^2

∴ I = 1 A; VNL = 1V

∴ Power dissipated in RNL = 1 × 1 = 1 W.