Power Supplies and Rectifiers
Power Supplies and Rectifiers tests the chain from mains AC to a steady DC rail: transformer, rectifier, filter and regulator. Expect comparison of half-wave, centre-tap full-wave and bridge rectifiers, ripple calculations and fixed-voltage regulator pinouts.
Core concepts
- Block diagram: transformer steps down and isolates; rectifier converts AC to pulsating DC; filter smooths; regulator holds the output constant against load and mains changes.
- Half-wave rectifier: one diode, PIV =
Vm, ripple factor 1.21, maximum efficiency 40.6%, output ripple frequency equal to supply frequency. - Full-wave centre-tap: two diodes, PIV =
2Vm, ripple factor 0.482, efficiency 81.2%, ripple frequency2f. - Bridge rectifier: four diodes, PIV =
Vm, same ripple factor and efficiency as centre-tap, no centre-tapped transformer needed. - Capacitor filter: charges near the peak and discharges into the load. Larger
Cand largerRLreduce ripple; for full wave,r ≈ 1/(4√3 f C RL), wherefis the supply frequency. - Regulators: Zener shunt is simple but inefficient; series-pass and 78xx/79xx fixed regulators are common. A 7805 gives +5 V with pin order input–ground–output; dropout voltage must be respected.
Worked example
A bridge rectifier uses a 12 V rms secondary at 50 Hz. Peak voltage is Vm = 12 × 1.414 = 16.97 V. Each diode’s PIV is approximately Vm = 17 V. With two diodes conducting, each dropping 0.7 V, the no-load peak is about 16.97 − 1.4 = 15.57 V. The ripple frequency is 2 × 50 = 100 Hz, not 50 Hz.
Traps that cost marks
- Using
2Vmfor bridge PIV orVmfor centre-tap PIV. - Forgetting that full-wave ripple frequency is double the supply frequency.
- Substituting rms voltage where peak voltage is needed.
- Reversing an electrolytic filter capacitor or ignoring its polarity.
- Assuming a 7805 pinout starts with the output pin; it does not.
- Ignoring regulator dropout: input must be sufficiently above the regulated output.