Question

For a given current and time, what is the change in the heat produced in a conductor if the resistance of the conductor is

a. tripled

Answer 1

According to Joule's law of heating, the amount of heat produced in a conductor is given by

$H=I^{2}Rt$

where $I$ is the current flowing through the conductor, $R$ is the resistance and $t$ is the time for which current flows.

For a given current and time, the amount of heat produced depends directly on the resistance of the conductor.

It means that if resistance increases, the amount of heat produced also increases linearly, and similarly if resistance decreases, the heat produced also decreases linearly.

If the resistance of the conductor is tripled, the amount of heat produced in a conductor gets tripled.