Question

An electric device operates at $24V$and has a resistance of $8\Omega$. Calculate the power consumed by the device.

Answer 1

Step 1: Given data

Potential difference, $V_p=24V$

Resistance of the device, $R=8\Omega$

Power consumed by the device, $P=?$

Step 2: Formula used

$P=\frac{{V_p}^2}{R}$ ………………………(a)

Step 3: Calculation of the power consumed by the device

Substituting the given values in equation (a), we get

$$\begin{gathered} P=\frac{{(24V)}^2}{8\Omega } \\ P=72W \end{gathered}$$

Hence, the power consumed by the device is equal to $72W$.