Question

Relate electric power in terms of potential difference and resistance.

Answer 1

Step 1- Formula used

Electrical power is the rate of consumption of electrical energy in an electrical appliance.

The equation for electrical power is

$P=V\times I...\left(1\right)$

Where $P$ is electrical power, $V$ is applied voltage and $I$ is the current.

From Ohm's law,

$I=\frac{V}{R}...\left(2\right)$

Where $R$ is resistance.

Step 2- Deriving the relation between $P$,$V$ and $R$.

From equation 2, substitute the value of $I$ into equation $\left(1\right)$ to find the relation.

$$\begin{gathered} P=V\times \frac{V}{R} \\ P=\frac{V^2}{R} \end{gathered}$$

Thus, the power in terms of potential difference and resistance is $P=\frac{V^2}{R}$.