Electronics
Modern electronics is built on the semiconductor PN junction and the diode action it provides. This page covers the PN junction and rectification (converting AC into DC) at a survey level — enough to recognize what a diode does and how a rectifier works.
PN Junction
A PN junction is formed when a single semiconductor crystal has one region doped with a trivalent impurity (P-type, holes are majority carriers) and the adjacent region doped with a pentavalent impurity (N-type, electrons are majority carriers).
Depletion region
At the junction, electrons from the N-side diffuse into the P-side and recombine with holes; holes diffuse the other way. This leaves a thin region near the junction with no free carriers — the depletion region. The fixed donor (positive) and acceptor (negative) ions create a built-in electric field that opposes further diffusion. The corresponding potential is the barrier potential:
- Silicon: ~ 0.7 V
- Germanium: ~ 0.3 V
Forward and reverse bias
- Forward bias: P-side connected to + and N-side to − of the external supply. The applied voltage opposes the built-in field, narrowing the depletion region. Once V exceeds the barrier (~0.7 V for Si), large current flows.
- Reverse bias: P to − and N to +. The applied voltage adds to the built-in field, widening the depletion region. Only a tiny reverse saturation current flows (due to minority carriers). Beyond breakdown voltage, the junction conducts heavily.
A PN junction packaged as a two-terminal device is a diode. It acts as a one-way valve: it conducts when forward biased, blocks when reverse biased. This unidirectional behaviour is the basis of rectification.
Rectification (Half and Full Wave)
Rectification is the conversion of alternating current into unidirectional (pulsating DC) current using one or more diodes.
Two arrangements are worth recognizing at a glance:
- Half-wave rectifier: a single diode conducts on only one half of each AC cycle, so the output is the positive halves alone. Simple but wasteful — half the waveform is discarded.
- Full-wave rectifier: uses two diodes (with a center-tapped transformer) or four diodes (a bridge) so that both halves of the AC cycle drive current through the load in the same direction. The output is a smoother, more continuous pulsating DC.
The pulsating DC is then smoothed toward a steady DC by placing a filter capacitor across the load, which charges near the peaks and discharges between them. (Efficiency figures, peak-inverse-voltage, and filter design are off-outline and omitted.)
Worked MCQs
Five MCQs that capture the high-yield testing patterns for this chapter. Read the explanation even when you get the answer right — it's where the deeper concept lives.
Q1. The barrier potential of a silicon PN junction at room temperature is approximately:
Si has a barrier of about 0.7 V and Ge about 0.3 V. The diode does not conduct appreciably until forward bias exceeds this barrier — this is why a Si diode is said to "turn on" at ~0.7 V.
Q2. A bridge rectifier uses how many diodes?
A bridge rectifier uses four diodes arranged so that two conduct on each half-cycle and route the current through the load in the same direction. It avoids the need for a centre-tapped transformer.
Q3. With US mains at 60 Hz input, the ripple frequency at the output of a full-wave rectifier is:
Full-wave rectifiers process both half-cycles, doubling the ripple frequency to 2f = 120 Hz. Half-wave keeps it at 60 Hz. Higher ripple frequency is easier to smooth with a small capacitor.
Q4. When a PN junction is reverse biased:
Reverse bias adds to the built-in field, sweeping carriers away from the junction. The depletion region widens and only minority carriers contribute a tiny reverse saturation current. Resistance is high.
Q5. In a half-wave rectifier circuit, the diode conducts during:
A diode is unidirectional. In a half-wave rectifier it is forward biased during one half-cycle (output present) and reverse biased during the other (no output). Because half the input is discarded the efficiency is low (~40.6%).
Quick Recap
- Low-yield topic overall — know the concepts, not the circuit math.
- A diode (PN junction) is a one-way valve: conducts when forward biased, blocks when reverse biased.
- N-type = electrons are majority carriers; P-type = holes; the crystal stays electrically neutral.
- Barrier potential ~0.7 V for silicon, ~0.3 V for germanium.
- Rectification converts AC to DC: half-wave keeps one half of each cycle (1 diode); full-wave keeps both (2 or 4 diodes).
- A filter capacitor smooths pulsating DC toward steady DC.