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Describe with circuit diagram, the working of full wave rectifier type A.C Voltmeter.

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A **full-wave rectifier type A.C voltmeter** is a type of voltmeter that measures the RMS value of an alternating current (AC) voltage by first converting it into a direct current (DC) equivalent using a full-wave rectifier circuit. The rectifier allows measurement of the voltage during both halves of the AC cycle, providing more accurate results compared to a half-wave rectifier-based voltmeter.

### Components
1. **Transformer**: Steps down the AC voltage to a suitable level.
2. **Full-wave rectifier**: Composed of four diodes arranged in a bridge configuration. It rectifies the AC input so that both halves of the waveform are utilized.
3. **DC Meter**: A moving coil or digital meter that reads the rectified signal, calibrated to show the equivalent RMS value of the AC input.

---

### Circuit Diagram Explanation

#### Components in the Diagram:
1. **Step-down Transformer**: It reduces the input AC voltage to a lower level suitable for the rectifier and the measuring device.
2. **Full-wave Bridge Rectifier**: Consists of four diodes arranged in a bridge configuration. It converts the AC voltage to a pulsating DC voltage by allowing both the positive and negative halves of the AC signal to pass through.
3. **Filter Capacitor (Optional)**: Used to smooth the pulsating DC voltage output from the rectifier to make it more stable.
4. **DC Voltmeter (Moving Coil Meter)**: The DC meter is connected across the output of the rectifier and is calibrated to display the RMS value of the input AC voltage.

#### Working Principle:

1. **Step-down Transformer**: The AC voltage from the mains supply is stepped down to a lower voltage by the transformer.
   
2. **Rectification**: The AC voltage is fed to a full-wave bridge rectifier, consisting of four diodes. During the positive half cycle of the AC input, two diodes (D1 and D3) conduct, allowing current to pass through the load in one direction. During the negative half cycle, the other two diodes (D2 and D4) conduct, maintaining the current in the same direction through the load. This ensures that both halves of the AC waveform are utilized, resulting in a full-wave rectified output.

3. **DC Output**: After rectification, the output is a pulsating DC waveform. The optional filter capacitor can be used to smooth out this pulsating waveform.

4. **Measurement**: The rectified and possibly smoothed DC voltage is then applied to the DC voltmeter (moving coil or digital meter), which displays the voltage. The meter is calibrated to display the RMS value of the input AC voltage based on the average or peak DC value detected after rectification.

---

### Full-Wave Rectifier Circuit Diagram:

```
       AC Input
         ~
         |
     +-------+
     |       |
    [ ]    Transformer
    [ ]       |
     |       |         
     +-------+         
         |
     ----+----+----      
         |    |          
       --|--> |         
    D1  |    D2     Bridge
       -|--->|           Rectifier
         |    |            
        -+----+-              
        |    |              
       -|--->|                  
    D4  |    D3            
       -|--> |               
         |    |              
         +----+-------
              |            
      +----------------+     
      |                |     
     (DC Voltmeter/    (Optional)
     Moving Coil Meter) Filter Capacitor
      |                |
     Ground           Ground
```

---

### Explanation of the Rectification Process:

- In the positive half cycle of the AC signal, diodes D1 and D3 conduct, while D2 and D4 are reverse biased.
- In the negative half cycle, D2 and D4 conduct, while D1 and D3 are reverse biased.
- This process results in both halves of the AC waveform being rectified into pulsating DC.

The DC voltmeter reads this output, which is directly proportional to the RMS value of the input AC voltage. The design ensures that the meter provides accurate AC voltage measurements by utilizing both halves of the AC cycle for full-wave rectification.

---

### Advantages of Full-Wave Rectifier AC Voltmeter:
- **Improved Accuracy**: Both halves of the AC cycle are used, leading to a more accurate RMS reading compared to a half-wave rectifier.
- **Efficiency**: Since the full-wave rectifier makes use of the entire waveform, it provides better efficiency in voltage measurement.
- **Smoother Output**: With the optional filter, the output can be further smoothed to reduce ripple, leading to more stable readings.

This type of AC voltmeter is widely used for accurate measurement of AC voltages, especially in cases where precise RMS values are needed.
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A Full Wave Rectifier AC Voltmeter is an instrument used to measure the RMS (Root Mean Square) value of an AC voltage. Unlike a simple AC voltmeter, which might use an average rectifier to measure the average value and then calibrate it to display the RMS value, a full wave rectifier AC voltmeter directly measures the RMS value of the AC signal using a full wave rectification process.

Here's a detailed explanation of how a full wave rectifier AC voltmeter works, including the circuit diagram and its operation:

### Circuit Diagram

Below is a simplified representation of a full wave rectifier AC voltmeter circuit:

```
           AC Input
              |
              |
              |
           Transformer
              |
              |
              |------+
              |      |
              |      |
             D1     D2
              |      |
              |      |
              +------+
              |      |
              R      |
              |      |
              |      |
              |      |
             V      |
              |      |
              |      |
             GND    GND
```

**Components:**
1. **Transformer (T):** Steps down the AC voltage to a suitable lower voltage level.
2. **Diodes (D1 and D2):** These form the full-wave rectifier.
3. **Resistor (R):** Limits the current through the meter and provides a load.
4. **Volt Meter (V):** Measures the DC voltage after rectification.

### Working Principle

1. **AC Input and Transformer:**
   - The AC voltage from the power source is applied to the primary side of the transformer. The transformer reduces this AC voltage to a lower, manageable value for measurement purposes.

2. **Full-Wave Rectification:**
   - The secondary side of the transformer is connected to a full-wave rectifier circuit. In this simple circuit diagram, the rectifier uses two diodes (D1 and D2). The diodes are arranged in such a way that they both conduct during each half-cycle of the AC input.
   - When the AC voltage is positive, diode D1 conducts and allows current to pass through the resistor and the voltmeter. When the AC voltage is negative, diode D2 conducts, allowing current to flow in the same direction through the resistor and voltmeter. This ensures that both halves of the AC cycle are utilized to produce a unidirectional (DC) current.

3. **Voltage Measurement:**
   - The DC voltage produced by the rectification process is proportional to the peak AC voltage but does not directly reflect the RMS value. However, for a true RMS voltmeter, additional circuitry, like an average rectifier followed by an RMS conversion circuit, is employed to ensure accurate RMS measurement. In a simpler full-wave rectifier voltmeter, the displayed DC voltage on the voltmeter would be an average of the rectified signal and needs calibration to indicate the RMS value.

4. **Calibration:**
   - For accurate RMS measurement, the AC voltmeter is calibrated so that the DC voltage reading corresponds to the RMS value of the AC input voltage. This calibration involves using known RMS values and adjusting the voltmeter scale accordingly.

### Detailed Operation

1. **AC Voltage Input:**
   - Alternating current flows into the transformer, which reduces the voltage to a suitable level.

2. **Rectification:**
   - The AC voltage is then fed into the diodes of the rectifier circuit. Each diode only allows current to flow in one direction, thus converting the AC signal into a pulsating DC signal.

3. **Filtering (Optional):**
   - In practical applications, a capacitor may be added across the load (parallel to the resistor) to smooth out the pulsating DC signal, producing a more steady DC output. However, in a basic full-wave rectifier voltmeter, this smoothing capacitor is often omitted for simplicity.

4. **Measurement:**
   - The resultant DC voltage is measured by the voltmeter. The voltmeter reads this voltage, which has been calibrated to correspond to the RMS value of the original AC signal.

### Summary

The full-wave rectifier AC voltmeter uses a transformer and a full-wave rectifier circuit to measure the RMS value of an AC voltage. It converts the AC voltage to a DC voltage using diodes and then measures this DC voltage. Calibration ensures that the displayed value reflects the RMS value of the AC input. For accurate RMS measurement, additional circuitry may be employed in more advanced designs.
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