Chapter 4, Problem 4.49HP

The generalized version of Ohm’s law for impedance elements is:
$\text{V}=\text{IZ}$ Assume the current through a $0.5\text{-}\mu \text{F}$ capacitor is given by:
$\begin{array}{l}{i}_s\left(t\right)=I_o\cos \left(\omega t+\frac{\pi }{6}\right)\\ I_o=13mA\omega =1,000rad/s\end{array}$
a. Express the source current in phasor notation.
b Determine the impedance of the capacitor.
c. Determine the voltage across the capacitor, in phasor notation.