the plate radius is a$=6\mathrm{.}10$ cm while the gap distance is g$=2\mathrm{.}00$ mm$.$ this variable capacitor is placed in series with a $90$uH inductor and a $12\mathrm{.}0$ resistor. An amplified signal from an antenna supplies a voltage source and the output voltage is taken across the capacitor. The circuit is used as a radio reciever the recieves a signal frequency equal to the resonance frequency of the L$-$R$-$C circuit. What capacitance should be used to receive an AM radio signal at $1200$ kHz$?$ What angle $($in degrees$)$ should be selected to give that capacitance?