Discussion
In the given semi-converter, the maximum value of AC input voltage is 300 V. The SCR is fixed at \(30^\circ\) angle. Compute the output average DC voltage.
Answer: C
For a single phase semi-converter, the average output voltage is
\[ V_{dc} = \frac{V_m}{\pi}(1 + \cos\alpha) \]
\[ \begin{aligned} V_{dc} = \frac{300}{\pi}(1 + \cos 30^\circ) \\ &= 95.49 \times 1.866 = 178.2\ \text{V} \end{aligned} \]
The nearest option is 178.28 V. The other values are 10 times larger or smaller or 100 times smaller. The answer is option C.
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