Vin(rms)
= 10V
Diode is ideal
The peak input
voltage is given by
VP =
√2Vinrms
Vp =
(1.414)(10) = 14.14V
During the
negative half cycle, the diode is forward biased and act as a short circuit.
The current flows through the capacitor and the capacitor charges to the peak
input voltage Vp . The output voltage will be Vout =
0V.
During the
positive half cucle, the diode is reversed biased and act as a open circuit.
Now the output voltage will be, the voltage across the capacitor which is Vp
(being charged during negative half cycle) plus the peak input voltage Vp
, thats is Vout = 2Vp
Waveforms
The average dc output voltage is Vdc = 14.14V