Question

In the circuit shown below, I1 = 4 sin2t A and I2 = 0. The value of V1 is _______________

(a) -16 cos2t V

(b) 16 cos2t V

(c) 4 cos2t V

(d) -4 cos2t V

This question was addressed to me during an online exam.

Origin of the question is Advanced Problems on Magnetically Coupled Circuits in division Resonance & Magnetically Coupled Circuit of Network Theory

Answer 1

The correct option is (b) 16 cos2t V

Explanation: V1 = \(\frac{2dI_1}{dt} + \frac{1dI_2}{dt}\)

∴ V1 = \(\frac{2dI_1}{dt}\) = 16 cos2t V.