Rectification and smoothing

Physics A2 · Alternating currents. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

Test this topic freeAll Physics A2 topics

The idea

Rectification changes alternating current into direct current, which flows one way only. A diode does this because it conducts in one direction only.

One diode in series with the load gives half-wave rectification: one half of each cycle passes and the other half is blocked, leaving gaps. A bridge rectifier of four diodes gives full-wave rectification. In each half-cycle a different pair of diodes conducts, so the current in the load is always in the same direction and there are no gaps.

The output still rises and falls. A capacitor in parallel with the load gives smoothing: it charges near each peak and then discharges slowly through the load, holding the p.d. up.

Rules to remember

Common mistake

Students say a smaller load resistance gives better smoothing. A smaller resistance draws more current, so the capacitor discharges faster and the ripple gets bigger.

Worked example

A half-wave rectifier on a 50 Hz supply gives a peak output of 9.0 V. A 470 μF capacitor smooths the output across a 2.0 kΩ load. Estimate the minimum p.d. across the load, taking the capacitor to discharge for a whole period.

  1. Time between peaks = 1 ÷ 50 = 0.020 s (half-wave, one peak per cycle).
  2. RC = 2.0 × 103 × 470 × 10−6 = 0.94 s.
  3. V = V0e−t/RC = 9.0 × e−0.020/0.94 = 9.0 × e−0.0213.
  4. V = 9.0 × 0.979 = 8.8 V.

Answer: About 8.8 V (a ripple of about 0.2 V)

Ask about this

Type what you are stuck on. The helper finds the explanation, worked examples and the notes to read, free and instant.

Read the full notes

Keep going

← Characteristics of alternating currentsEnergy and momentum of a photon →Take a Physics A2 test