Part of JPH-04 — Semiconductors: Diodes, LEDs & Logic Gates

Rectifiers and Filters

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Rectifiers convert AC to DC using diode's one-way property. Half-wave: single diode passes one half-cycle. VDCV_{DC} = V0pi\frac{V_0}{pi} = 0.318*V0V_0. Output frequency = input frequency. Ripple factor = 1.21 (high ripple). Full-wave (center-tap): two diodes, each conducting alternate halves. VDCV_{DC} = 2V0V_0/pi = 0.637*V0V_0. Output frequency = 2*input frequency. Ripple factor = 0.48. Bridge rectifier: four diodes, no center tap needed. Same performance as full-wave. A capacitor filter across the output smooths the ripple. Larger C gives smoother DC but slower response to load changes. With filter: VDCV_{DC}V0V_0 - IDC2fC\frac{I_DC}{2fC}. The key metric is ripple factor = VacrmsVDC\frac{V_ac_rms}{V_DC} — lower is better. For JEE: know the circuit diagrams, output waveform sketches, and the doubling of output frequency in full-wave rectification. The diode drops ~0.7 V per junction in the output path.

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