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How do electrical transformers work?
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An electrical transformer works by changing the voltage of alternating current (AC) electricity while keeping the power (the product of voltage and current) approximately the same. Here’s a simple explanation of how it works:

### 1. **Basic Components of a Transformer**:
   - **Primary Coil**: This is the coil where the incoming electricity (AC) enters the transformer.
   - **Secondary Coil**: This is the coil where the transformed electricity (either stepped-up or stepped-down voltage) comes out.
   - **Core**: The core is made of iron (or another magnetic material) and serves to support the coils and help transfer the energy through magnetic fields.
   
### 2. **Working Principle**:
   - Transformers work on the principle of **electromagnetic induction**. When alternating current flows through the primary coil, it creates a changing magnetic field.
   - This changing magnetic field induces a voltage in the secondary coil, according to **Faraday's Law of Induction**.

### 3. **Voltage Change**:
   - If the transformer is designed to **step up** the voltage (increase it), the secondary coil will have more turns of wire than the primary coil. The greater the number of turns in the secondary coil compared to the primary, the higher the output voltage.
   - If the transformer is designed to **step down** the voltage (decrease it), the secondary coil will have fewer turns than the primary.

### 4. **Power Conservation**:
   - The power (voltage Γ— current) stays roughly the same on both sides. However, when the voltage is increased, the current decreases in the same proportion, and when the voltage is decreased, the current increases.

   - For example, if a transformer steps up the voltage, the current in the secondary coil will be lower than in the primary. Similarly, if it steps down the voltage, the current in the secondary coil will be higher.

### 5. **Example**:
   - Imagine a transformer with a primary coil having 100 turns and a secondary coil with 200 turns. If the voltage in the primary coil is 120V, the voltage in the secondary coil will be 240V (because of the 2:1 turn ratio). The current in the secondary will be half of what it is in the primary to maintain the same power.

### Key Formula:
   The relationship between the primary and secondary coils is given by the formula:

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

   Where:
   - \( V_{primary} \) and \( V_{secondary} \) are the voltages in the primary and secondary coils.
   - \( N_{primary} \) and \( N_{secondary} \) are the number of turns in the primary and secondary coils.

### 6. **Applications**:
   - **Power Distribution**: Transformers are used in electrical power distribution systems to step up the voltage for long-distance transmission and then step it down for safe use in homes and businesses.
   - **Electronics**: In devices like chargers, transformers are used to adjust voltage levels for various components.

In summary, transformers work by using electromagnetic induction to change voltage levels, enabling efficient transmission of electrical power over long distances and ensuring proper voltage for various applications.
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