Lesson 9.3 • Competency 9.1Complete Lesson
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Rectification & Power Supplies

Master AC to DC conversion: half-wave rectification, full-wave center-tapped and bridge rectifiers, capacitor smoothing filters, ripple factor calculation, and regulated DC power supplies.

Marking a lesson complete represents finishing your study of the topic; it does not denote tested mastery.

Learning Objectives

  • Analyze half-wave and full-wave bridge rectifier circuits, tracing current conduction paths during both AC half-cycles.
  • Determine output ripple frequencies: f_out = f_in for half-wave and f_out = 2 f_in for full-wave rectifiers.
  • Explain capacitor filter smoothing action and calculate peak-to-peak ripple voltage V_r = I_L / (f · C).

Core Theory & Concepts

Almost all solid-state electronic devices require smooth, steady direct current (DC) operating voltages. A power supply converts high-voltage alternating mains current (AC) into low-voltage stable DC through four sequential stages: step-down transformation, rectification, capacitive smoothing, and Zener voltage regulation.

Full-Wave Bridge Output Peak

In a bridge rectifier, current conducts through two forward-biased diodes in series during each half cycle, dropping 2 * 0.7 V = 1.4 V from secondary peak.

V_{\text{out,pk}} = V_{s,\text{pk}} - 2 V_D = V_{\text{rms}} \sqrt{2} - 1.4\text{ V}

Peak-to-Peak Ripple Voltage

With a smoothing capacitor C discharging into load current I_L over period T = 1/f_r: V_r = I_L / (f_r · C).

V_r = \frac{I_L}{f_r \cdot C} = \frac{V_{\text{dc}}}{f_r \cdot R_L \cdot C}

Common Misconceptions

Misconception

A rectifier output with a capacitor produces perfectly flat DC with zero ripple.

Physical Clarification:The capacitor continuously discharges between recharge peaks, producing a residual sawtooth ripple voltage V_r inversely proportional to capacitance C.

Syllabus Topic Outline

Competency 9.1
  • 1Half-wave rectifier: circuit, single diode conduction, efficiency, and waveforms
  • 2Full-wave bridge rectifier: 4-diode Graetz topology, conduction cycles, PIV
  • 3Reservoir capacitor filtering: charging and discharging curves
  • 4Peak-to-peak ripple voltage formula: V_r = I_L / (f_r · C)
  • 5Complete regulated DC power supply architecture: Transformer → Rectifier → Filter → Zener Regulator

Practice Problems

1
Competency 9.1 • foundation

What is the ripple frequency of the output from a full-wave bridge rectifier supplied by 50 Hz AC mains?