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What is transformer and its working?
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A **transformer** is an electrical device that changes the voltage of an alternating current (AC) signal. It either steps up (increases) or steps down (decreases) the voltage, depending on its design. Transformers are widely used in power transmission and distribution systems, electrical devices, and appliances.

### Working Principle:
Transformers work on the principle of **electromagnetic induction**, which states that a changing magnetic field can induce a voltage in a nearby conductor. Here's how it works in simple terms:

1. **Alternating Current in Primary Coil**:
   When alternating current (AC) flows through the primary coil (input coil) of the transformer, it creates a changing magnetic field around the coil. This is due to the fact that the direction and magnitude of current change constantly in an AC circuit.

2. **Magnetic Field**:
   The changing magnetic field produced by the primary coil passes through the core of the transformer. The core is usually made of a magnetic material like iron, which helps concentrate and direct the magnetic field.

3. **Induced Current in Secondary Coil**:
   The changing magnetic field in the core induces a voltage in the secondary coil (output coil) of the transformer. The amount of voltage induced depends on the number of turns (loops of wire) in the secondary coil compared to the primary coil. This is called **Faraday's Law of Induction**.

4. **Voltage Adjustment**:
   - If the secondary coil has more turns than the primary coil, the voltage is **stepped up** (increased).
   - If the secondary coil has fewer turns than the primary coil, the voltage is **stepped down** (decreased).

### The Voltage Transformation Equation:
The voltage ratio between the primary and secondary coils is directly proportional to the ratio of the number of turns in the coils:

\[
\frac{V_{\text{primary}}}{V_{\text{secondary}}} = \frac{N_{\text{primary}}}{N_{\text{secondary}}}
\]

Where:
- \( V_{\text{primary}} \) is the voltage applied to the primary coil,
- \( V_{\text{secondary}} \) is the voltage produced in the secondary coil,
- \( N_{\text{primary}} \) is the number of turns in the primary coil,
- \( N_{\text{secondary}} \) is the number of turns in the secondary coil.

### Types of Transformers:
1. **Step-up Transformer**: Increases the voltage. The number of turns in the secondary coil is greater than the primary coil.
2. **Step-down Transformer**: Decreases the voltage. The number of turns in the secondary coil is fewer than the primary coil.

### Applications:
- **Power transmission**: Transformers are used in power stations to step up voltage for long-distance transmission and step down voltage for distribution to homes and industries.
- **Electrical appliances**: Small transformers are used in devices like mobile phone chargers, televisions, etc., to adjust the voltage for safe operation.

In summary, transformers play a crucial role in efficiently transmitting electrical energy over long distances and making electrical devices work safely by adjusting the voltage.
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