Voltage across the capacitor

voltage across the capacitor

In the initial condition; (t = 0 ; Uc = E) that the voltage across the capacitor is the solution to the above differential equation (E = 0), and is written in the form:

\[U_{c}(t)=E.e^{-t(RC)}\]

and the current of the capacitor is

\[i(t)=-\frac{E}{R}e^{-t/RC}\]