Question

How does the heat produced in a wire or a conductor depend upon the resistance of 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 $I$ and $t$ are constant, then, $H=R$.

From above expression, we can conclude that $H\propto R$

Hence, Heat produced in a conductor is directly proportional to the resistance$\left(R\right)$ of conductor.