Concept:In a half-wave rectifier, one output pulse occurs for every full cycle of the input AC signal. Therefore, the output ripple frequency equals the input line frequency.
Formula:$$f_{\text{out}} = f_{\text{in}}$$
Solution:- Given input frequency: \( f_{\text{in}} = 50\text{ Hz} \).
- For a half-wave rectifier: \( f_{\text{out}} = f_{\text{in}} = 50\text{ Hz} \).
- The load receives exactly one pulse per \( \frac{1}{50}\text{ s} \) cycle.
Why other options are incorrect:- Option A: \( 25\text{ Hz} \) is half the input frequency, which would imply frequency division.
- Option B: \( 100\text{ Hz} \) (\( 2f_{\text{in}} \)) is the output ripple frequency for a full-wave rectifier.
- Option D: \( 200\text{ Hz} \) corresponds to four times the line frequency, which does not match a single-phase rectifier.
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