The \(I-V\) characteristics of a diode with a knee voltage \(V_{knee} = 0.8\) volts is shown in Figure 1.
This diode is used in the circuit shown in Figure 2, in which an input signal of \(V_{in} = 100\sin(1000t)\) volts is applied. What is the voltage \(V_{out}\) (in volts) across the capacitor at steady state?
Assume that the capacitor is initially discharged and the reverse breakdown voltage of the diode is much greater than 100 volts.