Chapter 2, Problem 2.17P

Consider a load impedance of $Z=jwL$ connected to a voltage and V let the current drawn be I.

(a) Develop an expression for the reactive power Q in terms of $\omega ,L$, and I, from complex power considerations.

(b) Let the instantaneous current be $i\left(t\right)=\sqrt{2}I\cos \left(\omega t+\theta \right)$. Obtain an expression for the instantaneous power $p\left(t\right)$ into L, and then express it in terms of Q.

(c) Comment on the average real power P supplied to the inductor and the instantaneous power supplied.