# Power (physics)

## Power (physics)

In physics, power is the rate at which work is performed or energy is converted[1][2]

If ΔW is the amount of work performed during a period of time of duration Δt, the average power Pavg over that period is given by the formula

P_\mathrm{avg} = \frac{\Delta W}{\Delta t}\,.

It is the average amount of work done or energy converted per unit of time. The average power is often simply called "power" when the context makes it clear.

The instantaneous power is then the limiting value of the average power as the time interval Δt approaches zero.

P = \lim _{\Delta t\rightarrow 0} P_\mathrm{avg} = \lim _{\Delta t\rightarrow 0} \frac{\Delta W}{\Delta t} = \frac{dW}{dt}\,.

In the case of constant power P, the amount of work performed during a period of duration T is given by:

W = PT\,.

In the context of energy conversion it is more customary to use the symbol E rather than W.

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