A series electric circuit contains a resistance R, a capacitance C and a battery supplying a time-varying electromotive force V(t).
The charge q on the capacitor therefore obeys the equation
Assuming that initially there is no charge on the capacitor, and given thatV(t) =V0 sin?t, find the charge on the capacitor as a function of time.A series electric circuit contains a resistance R, a capacitance C and a battery supplying a time-varying electromotive force V(t). The charge q on the capacitor therefore obeys the equation
Rdq/dt+q/C=V(t)
Assuming that initially there is no charge on the capacitor, and given thatV(t) =V_0 sin?t, find the charge on the capacitor as a function of time.