Question

What happens to the heat produced in a conductor when current is doubled?

• A. Is doubled
• B. Becomes 4 times
• C. Becomes 3 times
• D. Is unaffected

Answer 1

The correct option is B

Becomes 4 times

We know, $H=i^2$Rt
where, $H$ is the heat produced, $i$ is the current, $R$ is the resistance and $t$ is the time taken.

When the current in a conductor is doubled, the heat produced is $H_1$.

According to the question,
$H_1$ = ${\left(2i\right)}^2$Rt
$H_1$ = 4${\left(i\right)}^2$Rt
$\Rightarrow$ $H_1$ = 4$H$