The output voltage waveform of a rectifier is shown in the following figure. The average output voltage is ________

quesOptionImage948

  1. 50.27 V
  2. 140 V
  3. 120 V
  4. 71.28 V

Answer (Detailed Solution Below)

Option 4 : 71.28 V
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ST 1: UPSC ESE (IES) Civil - Building Materials
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Detailed Solution

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Concept:

Single-phase half-wave rectifier with R - load:

F1 U.B Madhu 13.04.20 D8 F1 U.B Madhu 13.04.20 D9

Important Points

The average output voltage of a single-phase half-wave rectifier is given by

\({{\bf{V}}_0}\left( {{\bf{avg}}} \right) = \frac{{{{\bf{V}}_{\bf{m}}}}}{{2{\bf{π }}}}\left( {1 + {\bf{cosα }}} \right)\)

Where,

Vm is the peak value of supply voltage

α is the firing angle

Calculation:

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From the waveform shown above, we can observe that the given waveform is the output of a single-phase half-wave rectifier.

Given that 

Vm = 240 V

α = 30° 

The average output voltage of a single-phase half-wave rectifier is given by

V0(avg) = (240 / 2π)× (1 + cos 30° )

V0(avg) = 71.28 V

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