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 power is given by the formula ( P = \frac{W}{t} ), where ( P ) is power, ( W ) is the work done or energy transferred, and ( t ) is the time taken to do that work. This formula illustrates that if you know the amount of work done and the time it took to do that work, you can determine the power.

In this context, other options do not accurately define power. For instance, ( IV ) represents the power in electrical circuits when current (I) and voltage (V) are involved but does not express power in a general context. The ( Fd ) expression represents work done by a force (F) over a distance (d) and does not address the time factor. Lastly, ( W = IV ) is an equation that relates work to power in electrical systems but is not a direct representation of power itself. Thus, the representation of power as ( P = \frac{W}{t} ) is the most general and fundamental way to define it.