Question $2$: Consider a series RLC circuit comprising a resistor R$,$ an inductor L$,$ and a capacitor C$.$ This circuit is connected to an alternating current source with a maximum voltage Vmax and frequency f $.$ Assume that R $=100\backslash$Omega $,$ L $=0\mathrm{.}5$ H $,$ and C $=10$F$.$ The frequency of the power source varies from $0$ to $1000$ Hz

a$.$ Find the resonant frequency of the circuit and calculate the maximum voltage across the capacitor at this frequency.