Physics · JEE | Alternating Current

The instantaneous power \( p_L \) supplied to an inductor carrying current \( i = -i_m \cos(\omega t) \) with voltage \( v = v_m \sin(\omega t) \) is given by:

1. A
   \( i_m v_m \sin^2(\omega t) \)
2. B
   \( \frac{i_m v_m}{2} \cos(2\omega t) \)
3. C
   \( -\frac{i_m v_m}{2} \sin(2\omega t) \)
4. D
   \( i_m v_m \cos^2(\omega t) \)