I need help with the following question:
For a given circuit
determine the waveform of voltage
Vout, maximum values for positive and negative half-period segments, and the average value of voltage
Vout. Assume that diodes are ideal.
Given data: Frequency of sine (or cosine) wave
Vin is
1kHz with magnitude
10V.
Note: This is not homework. I am practicing for exam.
When
Vin>0 diode
D1 is
OFF, and diode
D2 is
ON.
In this case we have
Vout=I1*R1=1V.
When
Vin<0 diode
D1 is
ON. and diode
D2 is
OFF.
In this case we have
Vout=I1*R1+Vin=-9V.
Maximum values for positive and negative half-period segments are
V1=1V,V2=-9V.
I am having a problem finding the average output voltage.
The graph is
The average output voltage is the area of a periodic function that is marked red.
Note that the first half-period segment is not a rectangle. The second part is a negative half-period segment of a cosine wave. We need to integrate that function which surface is marked red.
How to evaluate the average voltage of
Vout?