Question

Heat energy is being produced in a resistance in a circuit at the rate of $100W$. The current of $2A$ is flowing in the circuit. what must be the value of the resistance (in $\Omega$)?

Answer 1

Rate of heat energy produced is power.

$\Rightarrow$ P = $I^2\times R$

$\Rightarrow$ R = $\frac{P}{I^2}$

$\Rightarrow$ R =$\frac{100}{4}=25\Omega$