For the circuit element of Problem 2.3, calculate

(a) the instantaneous power absorbed,

(b) the real power (state whether it is delivered or absorbed),

(c) the reactive power (state whether delivered or absorbed),

(d) the power factor (state whether lagging or leading).

By convention the power factor \(\cos (\delta-\beta)\) is positive. If \(|\delta-\beta|\) is greater than \(90^{\circ}\), then the reference direction for current may be reversed, resulting in a positive value of \(\cos (\delta-\beta)]\).

Problem 2.3

The instantaneous voltage across a circuit element is \(v(t)=\) \(400 \sin \left(\omega t+30^{\circ}ight)\) volts, and the instantaneous current entering the positive terminal of the circuit element is \(i(t)=100 \cos \left(\omega t+10^{\circ}ight) \mathrm{A}\). For both the current and voltage.