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Most linear regulators absorb the amount of energy equal to (Vin-Vout)*I where Vin is the voltage into the regulator, Vout is the regulated output voltage, and I is the current flowing through the regulator. This energy is dissipated as heat. As to much heat will burn the device out, a heatsink is needed where the die of the device cannot adequately dissipate the waste heat into the atmosphere.

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