Question

How does the heat produced in a wire or a conductor depend upon the current passing through the conductor?

Answer 1

Heat produced in a conductor

1. The expression for finding the heat produced in a wire of a conductor can be determined by using the expression:$H=I^{2}Rt$

Where, $H$ is the heat produced, $I$ is the amount of current passing through the conductor, $R$ is the resistance of the conductor, $t$ is time period.

2. So, from the relationship $H=I^{2}Rt$, we can conclude that, if $R$ and $t$ are constant, then, $H=I^2$.

From above expression, we can conclude that $H\propto I^2$.

Hence, Heat produced in a wire is directly proportional to the square of the current $\left(I^2\right)$ flowing through the conductor.