A2 Level · Topic 21.2
A-Level 9702 / Topic 21 / A2

From a.c. to steady d.c.

Many devices need direct current, but the mains delivers alternating current. Diodes turn it into one-way current, and a capacitor smooths the result into something close to steady d.c.

The key idea

A diode passes current one way only. A single diode gives half-wave rectification (only the positive halves pass); a bridge of four diodes gives full-wave rectification (the negative halves are flipped up). A smoothing capacitor across the load charges to the peak and discharges slowly between peaks, reducing the ripple.

input (a.c.) output (full-wave)
Fig. 1 — Rectification flips the negative half-cycles upward; a smoothing capacitor then reduces the ripple
Section 01

Rectify, then smooth.

Switch between half-wave and full-wave rectification and watch the output. Then switch on the smoothing capacitor and see the dips fill in, leaving only a small ripple on a nearly steady d.c. output.

Section 02

Diodes and the capacitor.

Three ideas carry most of the marks.

Examiner trap

The smoothing capacitor goes in parallel with the load, not in series. A larger capacitance (or load resistance) gives less ripple, because the time constant RC is longer. The ripple of a full-wave rectifier is at twice the supply frequency (two bumps per cycle), while a half-wave output ripples at the supply frequency.

Stage 1 · Learn

Check what the sim just showed you

Four quick checks on rectification and smoothing. Each correct answer earns XP and lights this skill on your star map.

Quick check+10 XP

A single diode in series with a resistor and an a.c. supply produces:

Quick check+10 XP

A bridge rectifier that gives full-wave rectification contains:

Quick check+10 XP

To reduce the ripple in a rectifier output, a smoothing capacitor is connected:

Quick check+10 XP

A full-wave rectifier is supplied from 50 Hz mains. The ripple in its output has a frequency of:

Examiner trap

When asked to sketch, draw the rectified output touching zero between bumps without a capacitor, and a sawtooth-like ripple sitting near the peak with one. State the direction of the change clearly: more capacitance (or a higher load resistance) means a longer time constant and so a smaller ripple.

Skill unlocked

Rectification and smoothing

This skill is now lit on your star map. Keep the chain going.

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Stage 2 · Topic Paper 4 practice (all lessons)
All lessons in this topic
Original Paper 4 structured questions spanning every lesson in this topic, with full worked solutions.