Physics - Current Electricity Question with Solution | TestHub

Let the resistance of the rod be $R$. If the rod is divided into two equal parts, then each part of the rod will have a resistance of $R/2$. Now these two parts of the rod are connected in parallel and a voltage $V$ is applied across them. Hence the total power consumed is $$P^{\prime }=\frac{V^2}{R/2}+\frac{V^2}{R/2}=4\frac{V^2}{R}=4P\text{ where }$$ $P=\frac{V^2}{R}$ is the power consumed by the original rod when voltage $V$ is applied across it.