Full Wave Rectifier: Working and Output Frequency

Physics · Semiconductor Electronics : Materials, Devices And Simple Circuits · NEET

A full wave rectifier changes both halves of an AC wave into DC. It uses a centre-tapped transformer and two diodes: in each half cycle one diode conducts, so current always flows the same way through the load. Because you get TWO output pulses for every ONE input cycle, the output frequency is DOUBLE the input frequency. Memory hook: "Full wave = two pulses per cycle, so 50 Hz in gives 100 Hz out."
Full Wave Rectifier: 1 input cycle gives 2 output pulsesInput AC (50 Hz)+-one cycle T = 20 msOutput DC (100 Hz)D1D2pulses twice as fast -> f_out = 2 x f_in
One full input cycle (left, 50 Hz) becomes two output humps (right). Both the positive half (via D1) and the negative half flipped up (via D2) reach the load, so the output repeats twice per input cycle, giving 100 Hz.

Your doubts, answered

Why is the output frequency double the input frequency in a full wave rectifier?

In each input cycle there is a positive half and a negative half. In a full wave rectifier, one diode handles the positive half and the other diode handles the negative half. Both halves are flipped to the same (positive) side of the load. So one full input cycle gives TWO output humps. Two output pulses in the time of one input cycle means the output repeats twice as fast, so f_out = 2 x f_in. For 50 Hz mains, output = 100 Hz. For 60 Hz, output = 120 Hz.

How many diodes does a full wave rectifier use and which one conducts?

The standard centre-tapped full wave rectifier uses TWO diodes (D1 and D2). During the positive half cycle, terminal A is positive, so D1 is forward biased and conducts while D2 is reverse biased. During the negative half cycle it reverses: D2 conducts and D1 is off. Only one diode conducts at a time, but the load current keeps flowing in the same direction in both halves. (A bridge rectifier does the same job with FOUR diodes and no centre tap.)

Why is a centre-tapped transformer needed?

The centre tap gives two equal AC voltages that are out of phase (opposite in sign) with respect to the centre point. This is what lets one diode be forward biased while the other is reverse biased at the same instant. Without two opposite voltages you could not steer the current so that both halves push current the same way through the load.

Does the full wave rectifier output still have ripple? What removes it?

Yes. The output is pulsating DC (a series of humps), not smooth DC. It still contains an AC part called ripple. A filter CAPACITOR placed across the load removes most of the ripple: it charges up at the peaks and slowly discharges through the load between peaks, smoothing the output. NEET 2023 asked exactly this: the capacitor removes the AC ripple, not the transformer or the diodes.

Full wave gives 100 Hz but half wave gives 50 Hz for the same input, why?

A half wave rectifier throws away one half of every cycle, so you get only ONE output pulse per input cycle. The output pattern repeats once per input cycle, so f_out = f_in (50 Hz stays 50 Hz). A full wave rectifier keeps both halves, giving TWO pulses per cycle, so f_out = 2 x f_in (50 Hz becomes 100 Hz). This is the single most tested difference.

Is full wave rectifier output frequency always double, even for a bridge rectifier?

Yes. Any full wave rectifier, whether centre-tapped (2 diodes) or bridge (4 diodes), uses BOTH halves of the input. So it always produces two output pulses per input cycle and the output frequency is always 2 x input frequency. The number of diodes does not change the output frequency.

⚠️ The NEET trap
The output frequency of a full wave rectifier equals the input frequency (50 Hz in gives 50 Hz out).
A full wave rectifier gives TWO pulses per input cycle, so the output frequency is DOUBLE the input. 50 Hz input gives 100 Hz output; 60 Hz gives 120 Hz. Only the HALF wave rectifier keeps the frequency the same.
🧠 Count the humps: full wave = 2 humps per cycle = double frequency. Half wave = 1 hump per cycle = same frequency.

Real NEET questions

NEET 2023 Phase 1

A full wave rectifier circuit consists of two p-n junction diodes, a centre-tapped transformer, capacitor and a load resistance. Which of these components removes the ac ripple from the rectified output?

A · A centre-tapped transformer
B · p-n junction diodes
C · Capacitor
D · Load resistance
Solution: Step 1: A rectifier gives pulsating DC (humps), which still contains an AC part called ripple. Step 2: The two diodes do the rectifying and the transformer only supplies the two out-of-phase AC voltages, so neither smooths the output. Step 3: A capacitor connected across the load charges to the peak voltage and then slowly discharges through the load between peaks. Step 4: This charge-and-discharge fills the gaps and flattens the output, removing most of the AC ripple. Answer: C (Capacitor).
NEET 2025

A full wave rectifier circuit with diodes D1 and D2 is shown in the figure. If the input supply voltage is V_in = 220 sin(100 pi t) volt, then at t = 15 ms, which is true?

A · D1 and D2 both are forward biased
B · D1 and D2 both are reverse biased
C · D1 is forward biased, D2 is reverse biased
D · D1 is reverse biased, D2 is forward biased
Solution: Step 1: Compare V = V_max sin(wt) with V_in, so angular frequency w = 100 pi rad/s. Step 2: Time period T = 2 pi / w = 2 pi / (100 pi) = 0.02 s = 20 ms. Step 3: At t = 15 ms, the fraction of the cycle is 15/20 = 3/4 of T, which lies in the NEGATIVE half cycle (the second half, from T/2 to T). Step 4: So V_in is negative at this instant. In a centre-tapped full wave rectifier, during the negative half cycle D1 is reverse biased and D2 is forward biased. Answer: D.

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Frequently asked

What is the output frequency of a full wave rectifier for 50 Hz input?

100 Hz. A full wave rectifier gives two output pulses per input cycle, so the output frequency is double the input: 2 x 50 = 100 Hz.

How many diodes are in a full wave rectifier?

A centre-tapped full wave rectifier uses TWO diodes. A bridge type full wave rectifier uses FOUR diodes but does the same job and gives the same doubled output frequency.

Why is full wave rectifier better than half wave?

It uses both halves of the AC input, so it delivers more DC power, has higher efficiency, a higher output frequency (easier to filter), and lower ripple than a half wave rectifier.

What is the efficiency of a full wave rectifier?

The maximum theoretical rectifier efficiency of a full wave rectifier is about 81.2 percent, which is twice that of a half wave rectifier (about 40.6 percent).

Does the capacitor change the output frequency?

No. The filter capacitor only smooths the humps and reduces ripple. The pulse rate, and therefore the output frequency, stays at twice the input frequency.

What is the peak output of a full wave rectifier?

For an ideal diode the peak output across the load equals the peak of one half of the transformer secondary, V_max. The DC (average) value of the full wave output is 2 V_max / pi, which is about 0.637 V_max.