Power is the rate of doing work

Work, Energy & Power — AQA A-Level Physics

Key Definition

Power — The rate of energy transfer or the rate of doing work. Unit: watt (W). 1 W = 1 J s^-1.

$$\begin{aligned} P &= IV \\ &= $I^{2}$R \\ &= \frac{$V^{2}$}{R} \end{aligned}$$

P = \frac{\Delta W}{\Delta t}

$P$: powerThe rate of energy transfer. Measured in watts (W). (W)
$ΔW$: work doneEnergy transferred when a force moves an object. In electrical circuits, W = QV (chargeA property of matter that causes it to experience a force in an electromagnetic field. Measured in coulombs (C). times potential difference). (J)
$Δt$: time taken (s)

Higher powerThe rate of energy transfer. Measured in watts (W). means more energyThe capacity to do work. Measured in joules (J). transferred per second.
PowerThe rate of energy transfer. Measured in watts (W). increases if more work is done or if the same work is done in less time.

$$P = Fv$$

$P$: power (W)
$F$: force in direction of velocityThe rate of change of displacement. A vector quantity. Measured in m s⁻¹. (N)
$v$: velocityThe rate of change of displacement. A vector quantity. Measured in m s⁻¹. (m s⁻¹)

$P = Fv applies$ when an object moves at constant velocityThe rate of change of displacement. A vector quantity. Measured in m s⁻¹. with a constant driving force.
If the force is at an angle to the velocity, use the component of force parallel to the velocity.