Question

An electric heater is rated 1000 W - 200 V. Calculate

The resistance of the heating element.

Answer 1

Step 1- Given data

Power, $P=1000W.$

Voltage difference,$V=200V.$

Step 2- To find out the resistance of the heating element

The formula for the resistance of the element is, $R=\frac{V^2}{P}$

$$\begin{gathered} \Rightarrow R=\frac{V^2}{P} \\ \Rightarrow R=\frac{{\left(200\right)}^2}{1000}=40\Omega \end{gathered}$$

Thus, the resistance of the heating element is $40\Omega$.