Question

Power generated across a uniform wire connected across a supply is $H$. If the wire is cut into $n$ equal parts and all the parts are connected in parallel across the same supply, the total power generated in the wire is

• A. $\frac{H}{n^2}$
• B. $n^{2}H$
• C. $nH$
• D. $\frac{H}{n}$

Answer 1

The correct option is B $n^{2}H$

When n equal parts are connected in parallel across the supply, the total power generated in the wire is
$H_{total}=1H+2H+3H+4H+.................+nH$
$H_{total}=n\left(nH\right)=n^{2}H$