An \(R L C\) series circuit consists of a \(450-\Omega\) resistor, a \(3.00-\mathrm{mF}\) capacitor, and a \(1.00-\mathrm{H}\) inductor. The circuit is driven by a power source that oscillates at \(20.0 \mathrm{~Hz}\) and has an \(\mathscr{E}_{\text {rms }}\) value of \(60.0 \mathrm{~V}\). The power source is switched on at \(t=0\), and at that instant the emf is at its maximum value. Calculate the power supplied at

(a) \(t=0.0200 \mathrm{~s}\),

(b) \(t=0.0375 \mathrm{~s}\),

(c) \(t=0.500 \mathrm{~s}\).