A half-wave rectifier circuit using ideal diode has an input voltage of 20 sin ωt Volt. Then average and rms values of output voltage respectively, are

Concept:

For the half-wave rectifier, the output is present is only for one half of the input signal and clipped for the other half.

Positive half-wave rectifier clips the negative half of the input signal and only a positive part of the input signal is present.

Negative half-wave rectifier clips the positive half of the input signal and only negative part of the input signal is present

In a half-wave rectifier circuit, the average value of output voltage is:

\({V_{avg}} = \frac{{{V_m}}}{\pi }\)

The RMS value of the output voltage is:

\({V_{rms}} = \frac{{{V_m}}}{2}\)

Where Vm is the maximum value of supply voltage

Calculation:

Input voltage = 20 sin ωt Volt

V_m = 20 V

The average value of output voltage:

\({V_{avg}} = \frac{{20}}{\pi }\;V\)

The RMS value of output voltage:

\({V_{rms}} = \frac{{20}}{2} = 10\;V\)