A sine-wave generator with output given by $V(t) = V_p \cos(\omega t)$ is applied to a series $RLC$ circuit. The peak output of the sine-wave generator is $20.0$ V. At the circuit's resonant frequency of $f_0 = 750$ Hz, the peak current is $108$ mA. At $1.34$ kHz, it's $40.8$ mA.
(a) Find the values for $R$, $L$ and $C$.
(b) Determine the functional form of the phase of the current $\phi(\omega)$ relative to the source voltage
(c) What is the time-averaged power of the circuit at $f = 900$ Hz?