Problem 4.133

A circuit consisting of a capacitor and a coil connected in series is fed two alternating voltages of equal amplitudes but different frequencies. The frequency of one voltage is equal to the natural oscillation frequency $\left(\omega_{0}\right)$ of the circuit, the frequency of the other voltage is $\eta$ times higher. Find the ratio of the current amplitudes $\left(I_{0} / I\right)$ generated by the two voltages if the quality factor of the system is equal to $Q .$ Calculate this ratio for $Q=10$ and $100,$ if $\eta=1.10 .$