Electrical Power

  • Power

Power


Portrait of James Watt
Portrait of James Watt

Power is the amount of energy transferred per unit of time or the amount of work done per unit of time. In electricity, it is the rate of time for a charge to move due to an applied voltage. The unit used for power is Watts (symbol: W ), named after James Watt.


$$ P = \frac{W}{t} $$ $$\begin{align} P & - \text{ power, Watts } (W)\\ W & - \text{ work, Joules } (J) \\ t & - \text{ time, seconds } (s)\\ \end{align}$$

But since \(W=QV\) and \(Q=It\), we have:


$$ P = \frac{QV}{t} = IV $$ $$\begin{align} Q & - \text{ charge, Coulomb } (C) \\ V & - \text{ voltage, Volts } (V)\\ I & - \text{ current, Ampere } (A)\\ \end{align}$$