(Solved): 8. A half-wave rectifier is shown below. The diode is modeled with a constant voltage drop model (V ...

8. A half-wave rectifier is shown below. The diode is modeled with a constant voltage drop model $\left({\mathrm{V}}_{\text{on }}=0.7\mathrm{V}\right)$. $v_I(t)=20\sin (120?t)$ a. Draw the input and output voltage waveforms for $0?t?2T$. Assume that $RC?T$ and $T?$ $?\mathrm{T}$. b. At what time does the diode first turn on? c. In the waveform in (a), if the capacitor discharges for $15\mathrm{msec}$, what is the ripple voltage and the $\mathrm{R}\times \mathrm{C}$ value? d. In the waveform in (a), if the diode conduction interval is $0.5\mathrm{msec}$, what is the ripple voltage and the $\mathrm{R}\times \mathrm{C}$ value? e. In the waveform in (a), if the output ripple voltage is $0.5\mathrm{V}$, what should be the $\mathrm{R}\times \mathrm{C}$ value?