What is the principle and working of full-wave rectifier?
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A full-wave rectifier converts the entire input AC signal into DC output. It uses either two diodes in a center-tap transformer configuration or four diodes in a bridge configuration.

**Principle:**
- **Center-Tap Transformer**: It has a center-tap that acts as a neutral point. During each half-cycle of AC, one of the diodes conducts and allows current to pass through the load, providing a positive output voltage. The other diode blocks the current in the reverse direction, thus preventing it from flowing back.
  
- **Bridge Rectifier**: It uses four diodes arranged in a bridge configuration. During both half-cycles of AC input, two diodes conduct, allowing current to flow through the load in the same direction. This arrangement eliminates the need for a center-tap transformer and makes the circuit more efficient.

**Working:**
- In the center-tap version, during the positive half-cycle of AC, the diode connected to the positive end of the transformer allows current to flow through the load. During the negative half-cycle, the other diode conducts. Thus, the output is a pulsating DC voltage that is smoother compared to half-wave rectifiers.

- In the bridge rectifier, during each half-cycle, two diodes are forward-biased and conduct, while the other two are reverse-biased and block current. This results in a continuous pulsating DC output with both halves of the AC waveform contributing to the DC signal.
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A full-wave rectifier is a type of electrical circuit used to convert alternating current (AC) into direct current (DC). Unlike a half-wave rectifier, which only uses one half of the AC cycle, a full-wave rectifier utilizes both halves of the AC waveform, resulting in more efficient and smoother DC output. Here’s a detailed explanation of its principle and working:

### Principle of Full-Wave Rectification

The principle of full-wave rectification relies on the use of diodes to convert the AC input into DC. In AC supply, the voltage alternates between positive and negative cycles. A full-wave rectifier ensures that both halves of the AC waveform are used to produce a unidirectional current.

### Working of a Full-Wave Rectifier

There are two main types of full-wave rectifiers: **center-tap** and **bridge** rectifiers. Here's how each type works:

#### 1. Center-Tap Full-Wave Rectifier

**Components:**
- **Transformer:** Provides isolation and steps down the AC voltage.
- **Center-Tap:** A secondary winding of the transformer with a center tap.
- **Two Diodes:** Connected to the two ends of the center-tap.

**Operation:**
- The transformer’s secondary winding has a center tap, which splits the AC voltage into two equal parts.
- During the positive half-cycle of the AC input:
  - The upper half of the secondary winding (relative to the center tap) becomes positive.
  - The diode connected to this part conducts, allowing current to flow through the load resistor.
  - The lower half of the secondary winding becomes negative, and the other diode does not conduct.
- During the negative half-cycle:
  - The lower half of the secondary winding becomes positive.
  - The second diode conducts, allowing current to flow through the load resistor.
  - The upper half of the secondary winding becomes negative, and the first diode does not conduct.
- Both diodes conduct alternately, allowing the current to always flow in the same direction through the load resistor, producing a pulsating DC output.

**Output:**
- The output voltage is pulsating DC and has a frequency that is twice that of the AC input frequency.

#### 2. Bridge Full-Wave Rectifier

**Components:**
- **Transformer:** Provides isolation and steps down the AC voltage.
- **Four Diodes:** Arranged in a bridge configuration.

**Operation:**
- The AC input is applied across two opposite corners of the bridge.
- During the positive half-cycle of the AC input:
  - Two diodes (one connected to the positive input and one to the negative input) conduct.
  - Current flows through the load resistor in one direction.
- During the negative half-cycle:
  - The other two diodes conduct.
  - Current flows through the load resistor in the same direction as during the positive half-cycle.
- In both halves of the AC cycle, the diodes are arranged so that the output current flows in a single direction through the load resistor.

**Output:**
- The output voltage is a pulsating DC, similar to the center-tap rectifier but with a more efficient use of the transformer’s secondary winding.
- The frequency of the pulsating DC output is the same as the AC input frequency, but it’s smoother due to the continuous conduction of current through the load.

### Summary

- **Center-Tap Full-Wave Rectifier:**
  - Uses two diodes and a center-tap transformer.
  - Produces a pulsating DC output with twice the input frequency.

- **Bridge Full-Wave Rectifier:**
  - Uses four diodes in a bridge configuration.
  - Produces a pulsating DC output with the same frequency as the input AC and is more efficient in transformer utilization.

Both types of full-wave rectifiers convert AC to DC more effectively than half-wave rectifiers, providing a more consistent and smoother DC output.
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