Halliday, Resnick & Walker — Electromagnetic Oscillations and Alternating Current: Problem 8

8 An alternating source with a variable frequency, a capacitor with capacitance \(C\), and a resistor with resistance \(R\) are connected in series. Figure 31-20 gives the impedance \(Z\) of the circuit versus the driving angular frequency \(\omega_d\); the curve reaches an asymptote of \(500\ \Omega\), and the horizontal scale is set by \(\omega_{ds} = 600\ \text{rad/s}\). The figure also gives the reactance \(X_C\) for the capacitor versus \(\omega_d\). What are (a) \(R\) and (b) \(C\)?