Question

In a pure inductive circuit, a sinusoidal voltage \(V(t) = 200 \sin 250t\) is applied to a pure inductance of \(L = 0.02\,\text{H}\). The current through the coil is:

• A. \(40 \sin \left(250t - \frac{\pi}{2}\right)\)
• B. \(40 \cos \left(250t - \frac{\pi}{2}\right)\)
• C. \(40 \sin \left(250t + \frac{\pi}{2}\right)\)
• D. \(40 \cos \left(250t + \frac{\pi}{2}\right)\)

Hint:

In a pure inductor, current always lags voltage by \(90^\circ\), and \(V_0 = \omega L I_0\).

Answer 1

The Correct Option is A