Good day folks,

I know the differential equation for time varying voltage across an inductor is v(t)=L*di(t)/dt.

Can anyone tell me the equation for time varying voltage across a capacitor?

Regards.

 

taken from http://en.wikipedia.org/wiki/Capacitor#Current-voltage_relation

\(i_C(t) = C\frac{dv(t)}{dt} \\
\int_{t_0}^{\tau} i_C(t)dt = C\int_{t_0}^{\tau} \frac{dv(t)}{dt}dt \\
\int_{t_0}^{\tau} i_C(t)dt = C [ v(\tau) - v(t_0) ] \\
v(\tau) = \frac{1}{C}\int_{t_0}^{\tau} i_C(t)dt + v(t_0)
\)