15.6 Exercise 12

The emf of an ac source is given by $v \left(t\right) = V_{0} \text{sin} \omega t ,$ where $V_{0} = 100 \text{V}$ and $\omega = 200 \pi \text{rad}/\text{s} .$ Find an expression that represents the output current of the source if it is connected across (a) a $20 - \mu \text{F}$ capacitor, (b) a 20-mH inductor, and (c) a $50 - \Omega$ resistor.