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Explain the concept of negative feedback in amplifiers.
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**Negative feedback** in amplifiers is a technique where a portion of the output signal is inverted and fed back to the input. This feedback opposes the input signal, thereby "correcting" any deviations in the amplifier's performance. Here's a breakdown of the concept:

### How It Works:

* An amplifier has an input signal and produces an amplified output.
* In **negative feedback**, a fraction of the output is taken, inverted, and combined with the input.
* This reduces the overall input to the amplifier, hence the term “negative.”

### Key Benefits:

1. **Stabilized Gain**: The gain of the amplifier becomes less sensitive to component variations.
2. **Improved Linearity**: Reduces distortion by linearizing the amplifier's transfer characteristics.
3. **Reduced Noise**: Feedback can suppress internally generated noise.
4. **Increased Bandwidth**: The frequency response becomes wider.
5. **Better Impedance Characteristics**:

   * Increases input impedance.
   * Decreases output impedance.

### Mathematical Insight:

If an amplifier has a gain $A$, and a fraction $\beta$ of the output is fed back, the **closed-loop gain** becomes:

$$
A_{cl} = \frac{A}{1 + A\beta}
$$

This shows that even if $A$ changes due to temperature or aging, the overall gain $A_{cl}$ remains stable as long as $A\beta \gg 1$.

Would you like a diagram to visualize the feedback process?
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