An alternating voltage of frequency \( 50 \, \text{Hz} \) is applied to a half-wave rectifier. Then the ripple frequency of the output will be:
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For a half-wave rectifier, the ripple frequency is the same as the input AC frequency. In contrast, for a full-wave rectifier, the ripple frequency is twice the input frequency.
In a half-wave rectifier, only one half of the alternating current (either positive or negative half-cycle) is used for rectification. The output waveform consists of pulses that correspond to the frequency of the input AC signal.
Therefore, the frequency of the ripple in the output is the same as the input frequency:
\[
f_{\text{ripple}} = f_{\text{input}} = 50 \, \text{Hz}
\]
Thus, the ripple frequency of the output is \( 50 \, \text{Hz} \).