The following sets of \(v(t)\) and \(i(t)\) apply to the load circuit in Figure P16-1. Calculate the average power, the reactive power, and instantaneous power delivered to the load.

(a) \(v(t)=100 \cos \left(\omega t-15^{\circ}ight) \mathrm{V}, i(t)=100 \sin (\omega t) \mathrm{mA}\)

(b) \(v(t)=1000 \cos (\omega t) \mathrm{V}, i(t)=50 \sin \left(\omega t+30^{\circ}ight) \mathrm{A}\)