A 2 microfarad capacitor is charged with a DC current of 9mA

A 2 microfarad capacitor is charged with a DC current of 9mA for 1 msec. If the capacitor voltage. Vc, is zero volts before the current is applied, what is the capacitor voltage after the 1 msec charge?

Solution

here V(0)=0 volts.

voltage across the capacitor is

Vc=(i*t)/c=(9*10^-3*1*10^-3)/(2*10^-6)=4.5 volts.