How is power (P) mathematically represented?

Power is defined as the rate at which work is done or energy is transferred over time. The mathematical representation of this definition is given by the formula ( P = \frac{W}{t} ), where ( P ) stands for power, ( W ) represents work done (or energy transferred), and ( t ) is the time taken to do that work.

This formula emphasizes that power is concerned with how quickly energy is converted or work is performed. A higher power value indicates that more work is done in a shorter period, whereas lower power suggests that work is done more slowly over a longer time.

Other representations may confuse the concept of power with different physical quantities. For example, the expression ( IV ) relates to electrical power in terms of current (I) and voltage (V), which is a specific case of power calculation but not a general definition. Similarly, work done against a force (represented by ( Fd ), where ( F ) is force and ( d ) is distance) does indicate energy transfer but does not convey how that transfer relates to time. The equation ( W = IV ) describes an alternative relationship in electrical circuits but is not a direct representation of power itself.

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