An RLC series circuit has a \(350-\mathrm{mH}\) inductor and a \(25.0-\Omega\) resistor connected to a \(50.0-\mathrm{Hz} \mathrm{AC}\) power source, and a variable capacitor.

(a) To what capacitance value must it be set in order to have the circuit be at resonance?

(b) If the source produces \(\mathscr{E}_{\text {rms }}=120 \mathrm{~V}\), what is the maximum potential difference across the inductor and the capacitor at resonance?