A $410 \, \Omega$ resistor, $22.1 \, \mu F$ capacitor, and an inductor of unknown inductance $L$ are connected in series to a $60.0$-Hz AC generator that produces a peak voltage of $9.00 \, V$ and peak current of $13.7 \, mA$. The voltage leads the current by some phase angle.
a) Find the unknown inductance $L$.
b) By what phase angle does the voltage lead the current?