The circuit shown in Eigure P6 88 is an integrator. The capacitor is initially uncharged, and the source voltage is
$$
E_{i a}(\theta)=10^{-2} V+\sin (2,000 \pi \theta) \mathrm{V}
$$
a. At $t=0$, the switch $S_1$ is closed. How long does it take before clipping occurs at the output if $R_s=10 \mathrm{k} \Omega$ and $C_F=0.008 \mu \mathrm{~F}$ ?
b. At what times does the integration of the DC input cause the op-amp to saturate fully?