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Draw a parallel 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 currents around the loop. What is the form of the total current as a function of time?

b) Draw the phasor diagram from which the impedance $Z$ can be determined 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) Does the average power delivered to the circuit depend on $\omega$? Why or why not?