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Draw a series LRC circuit above with an alternating voltage $V_0 \cos(\omega t)$, clearly labeling the (presumably given) $L$, $R$, and $C$.

a) Draw the phasor diagram that represents Kirchhoff's rule for the voltages around the loop.

b) Draw the phasor diagram for the impedance $Z$ and write down its value in terms of the givens. Also indicate the value of the phase angle $\delta$ in terms of the givens.

c) What is the resonant frequency $\omega_0$ for the circuit in terms of the givens?

d) Draw a semi-quantitatively correct graph of the average power $P(\omega)$ delivered to the circuit for $Q = 10$, clearly indicating the location of $\omega_0$. At the very least, the graph scales should be arguably consistent with the value of $Q$.