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# What is the heating effect of electric current? Find the expression for calculating heat?

Last updated date: 17th Jun 2024
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Hint: When electric current is supplied to a purely resistive conductor, the energy of the electric current is dissipated entirely in the form of heat and because of that the resistor gets heated. This heating of resistor is because of dissipation of electrical energy and this effect is know was Heating effect of Electric current

Complete step by step solution
Let us consider a conductor AB of resistance R having a potential difference V through which current I is flowing.
So if you want to move a charge q from point A to point B the amount of work done is given by
$W = q \times v$
Where W is the work done, Q is the charge and , V is the potential difference.
$\Rightarrow q = i \times R$
Where I is current flowing through the conductor and R is the resistance.
$\Rightarrow V = I \times R$ (ohm's law)
Now we will substitute the values of q and v in the formula for work done which gives us
$\Rightarrow W = \left( {I \times t} \right) \times \left( {I \times R} \right)$
$\Rightarrow W = {I^2}Rt$
Here we are assuming that all the work that is done is converted into heat energy. Therefore
$H = {I^2}Rt$ .