A circuit consists of an AC source wired in series to a \(1500-\Omega\) resistor and a \(1.5-\mu \mathrm{F}\) capacitor. For a source emf amplitude \(\mathscr{E}_{\max }=800.0 \mathrm{~V}\), calculate the phase constant \(\phi\) and the amplitudes \(V_{C}\) and \(V_{R}\) if the source frequency is

(a) \(16 \mathrm{~Hz}\)

(b) \(500 \mathrm{~Hz}\).