How a coefficient of performance greater than 1 is possible?

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How is it that a machine (like a heat pump) can consume 1kw of power and produce an amount greater than that of heat? What am I misunderstanding?

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In electronics you can have amplifiers that boost total wattage by watts multiplied amps. This may not increase the total power output but may increase the amount of power being delivered for electrical output. This may be done by combining power sources or using a buck boost power converter.

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