I'm working on a RFSF for the University of KY. It's essentially a giant coil, where the coil is the inductor, inductance L, with resistance, R. It will be attached to a chosen capacitor, capacitance C, and attached to an AC power source. The RFSF will operate at resonant frequency. I'm trying to figure out the power required to get the capacitor fully charged in 400 microseconds. As far as I know, because it will be operating at resonant frequency, the energy stored will equal E_stored (1/2)*C*V^2 = (1/2)*L*I^2. I also need to take into account the resistive dissipation of energy (due to the resistance of the coil). Then I can use (delta_E / delta_t) to calculate the power I need?? This is where I'm stuck. I think I need some sort of differential equation. I don't know much about electrical circuits of this nature and online research has proved unhelpful. Any help is appreciated.