Question

The formula used to calculate the heat produced in a conductor is
(A) $H = I{R^2}t$
(B) $H = IRt$
(C) $H = {I^2}Rt$
(D) $H = VI$

Answer 1

Hint:All the conductors have the ability to conduct electricity. If the electricity passes through the conductors, the heat produced in them can be identified by the increase in the temperature of the conductors. This concept was explained by the Joule’s law.

Formula used:
The Joule’s law of heating is given by
$H = {I^2}Rt$
Where $H$ is the amount of heat produced, $I$ is the current flow, $R$ is the resistance offered by the conductor and the $t$ is the time taken.

Complete step by step solution:
When the current flows into the conductor, the electrons in the molecules of the conductor vibrates to provide the heat energy. This heating effect of the electric current in the conductor mainly depends on the current flowing through the conductor, the time up to which the current flows and the resistance offered by the conductor molecules to produce heat.

If the conductor is more resistant to conduct heat, then the heat produced will also be higher. Hence the heat produced is directly proportional to the current, time for which the heat flows and the resistance. Hence the formula of the heat flowing through the conductor is $H = {I^2}Rt$ .

Thus the option (C) is correct.

Note:The electric kettle, the electric heater, the electric iron, the electric room heater etc. are all functions based on the heating effect of the electric current. In electric iron, the current flows through the iron (conductor), so the heat produced in it is used to press the clothes.