Concept:A half-wave rectifier passes current during one half-cycle and blocks current during the other, producing an output of positive voltage pulses separated by zero-voltage gaps.
Formula:$$v_{\text{out}}(t) = \begin{cases} V_m \sin(\omega t) & 0 \le \omega t < \pi \\ 0 & \pi \le \omega t < 2\pi \end{cases}$$
Solution:- The waveform shows conduction during the positive half-cycle followed by zero output during the negative half-cycle.
- This periodic pattern with zero-voltage gaps is the signature of half-wave rectification.
Why other options are incorrect:- Option A: Full-wave rectifiers produce continuous pulses without zero-voltage gaps.
- Option B: Pure DC is a flat, continuous horizontal line.
- Option C: Symmetrical AC alternates between positive and negative polarities.
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