An unusual capacitor has a capacitance that is a function of time given by C=2+cos( 2000t ) μF in which the argument of the cosine function is in radians. A constant voltage of 50 V is applied to this capacitor. Determine the current as a function of time.

Question

An unusual capacitor has a capacitance that is a function of time given by C=2+cos( 2000t ) μF in which the argument of the cosine function is in radians. A constant voltage of 50 V is applied
to this capacitor. Determine the current as a function of time.