For a firing angle of 60° in respect of a single-phase half-wave controlled rectifier with resistive load supplied from a 230 V (rms), 50 Hz supply, the average output voltage would be

Concept:

The average output voltage of a single-phase half-wave controlled rectifier with resistive load is,

\({V_0} = \frac{{{V_m}}}{{2\pi }}\left( {1 + \cos \alpha } \right)\)

Where V_m is the maximum value of supply voltage

α is the firing angle

Calculation:

Given that, firing angle (α) = 60°

Supply voltage (V_S) = 230 V

\({V_0} = \frac{{230 \times \sqrt 2 }}{{2\pi }}\left( {1 + \cos 60} \right)\)

= 77.65 V