Let a voltage source \(v(t)=4 \cos \left(\omega t+60^{\circ}ight)\) be connected to an impedance \(Z=2 / 30^{\circ} \Omega\).

(a) Given the operating frequency to be \(60 \mathrm{~Hz}\), determine the expressions for the current and instantaneous power delivered by the source as functions of time.

(b) Plot these functions along with \(v(t)\) on a single graph for comparison.

(c) Find the frequency and average value of the instantaneous power.