Final answer:
The average value of a half-wave rectified voltage with a peak value of 200V is 63.66V. This is calculated using the formula Vavg = Vo/π and considering only the half cycle that passes through the diode.
Step-by-step explanation:
To calculate the average value of a half-wave rectified voltage with a peak value of Vo = 200V, you can use the formula for a half-wave rectifier average voltage, which is Vavg = Vo/π. Substituting the given peak voltage into the formula, we obtain:
Vavg = 200V/π = 63.66V
This result is based on the mathematical relationship that the average value of a sinusoidal function over half a cycle is 2/π times its peak value. For a half-wave rectifier, this translates to the formula given because only half of the input waveform (either the positive or the negative half, depending on the orientation of the diode) contributes to the output. Thus, to find the average value, you only consider the half cycle that is being passed through by the diode.