Problem 4.122

Fig. 4.32 illustrates the simplest ripple filter. A voltage $V=V_{0}(1+\cos \omega t)$ is fed to the left input. Find: (a) the output voltage $V^{\prime}(t)$ (b) the magnitude of the product $R C$ at which the output amplitude of alternating voltage component is $\eta=7.0$ times less than the direct voltage component, if $\omega=314 \mathrm{~s}^{-1}$.