Power Needed for Resonant Frequency Spin Flipper

[jmtome2]

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.

 

[Vailanor]

Thanks.To calculate the power required to get the capacitor fully charged in 400 microseconds, you need to first calculate the current required to charge the capacitor. The current can be found using the equation I = V/(L/C)^1/2, where V is the AC voltage and L and C are the inductance and capacitance respectively. Once you have the current, you can calculate the power by multiplying the current by the voltage. The energy stored in the capacitor is given by E_stored = (1/2)*C*V^2 and the energy dissipated due to the resistance of the coil is given by E_dissipated = (1/2)*R*I^2. You can then use the equation delta_E / delta_t to calculate the power required. Hope this helps!