The sinusoidal voltage applied to the circuit below is V S (t) =

The sinusoidal voltage applied to the circuit below is V S (t) =
| The sinusoidal voltage applied to the circuit below is VS(t) = 10 cos(2t) V. The voltage VL(t) across the inductor is

A. –10 sin 2t V

B. 10 cos 2t V

C. 10 sin (2t – 45°) V

D. 10cos (2t – 45°) V

Please scroll down to see the correct answer and solution guide.

Right Answer is: A

SOLUTION

VS = 100°, ω = 2 rad/s

Impedance, jωL = j (2) (1) = j2 Ω

VL(t) = 10cos (2t + 90°)

VL(t) = – 10 sin 2t V cos (θ + 90°) = – sin θ