Question

An electric device consumes $8640J$ of energy in $30$ min, while operating at $24V$. Calculate the current drawn by the device.

Answer 1

Step 1: Given data,

1. Energy $W=8640J$
2. Voltage $=24V$
3. Time $t=30min$

Step 2: Find the current drawn by the device,

Energy consumed in terms of the power and time is,

$W=Pt$……(1)

The power in terms of voltage and current is,

$P=VI$……..(2)

Thus, from equations (1) and (2),

$W=VIt$

Substituting the known values,

$8640=24\times I\times \left(30\times 60\right)$

From the equation, the value of the current is,

$$\begin{gathered} I=\frac{8640}{24\times 30\times 60} \\ =\frac{8640}{43200} \\ =0.2A \end{gathered}$$

Thus, the current drawn by the device is $0.2A$.