How does a sample-and-hold circuit function?
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A sample-and-hold circuit captures and holds a voltage level for a specific period, allowing for accurate analog-to-digital conversion or processing. Here’s how it functions:

1. **Sampling Phase**: During this phase, the circuit samples the input voltage (the analog signal). A switch (typically a transistor) is closed, connecting the input to a storage capacitor. This allows the capacitor to charge to the input voltage level.

2. **Hold Phase**: Once the capacitor has charged, the switch opens, isolating the capacitor from the input. The stored voltage on the capacitor is then held constant for a defined period, providing a stable voltage that can be processed or converted to a digital value.

3. **Output**: The held voltage can then be read by an analog-to-digital converter (ADC) or used in further signal processing without the influence of the varying input signal.

The performance of a sample-and-hold circuit is influenced by factors like the switch's speed, capacitor leakage, and the circuit's overall noise. Proper design ensures that the held voltage remains stable and accurate for the intended application.
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