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How does a voltage divider work?

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A voltage divider is two resistors in series. If a voltage is applied at one end of the series, and is grounded at the other, the voltage in the middle between the resistors would be a fraction of the input voltage, and would depend on the ratio of the resistances.

For example, if the two resistances are the same, the voltage in the middle would be half the input voltage.

If the resistor near the input is 9 times as much as the other, the voltage in the middle would be 1/10 the input voltage.

If the resistor near the ground is 9 times as much as the other, the voltage in the middle would be 9/10 the input voltage.

The input voltage is 'divided' between the two resistors.

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