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# What is the joule’s Law?

Last updated date: 15th Aug 2024
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Hint: Joule’s law shows the relationship between the current that flows through a wire, the heat generated by the current that flows through a wire, the resistance of the wire, and the time the current passes through the wire. The amount of heat is directly proportional to the square of the current, time taken, and the conductor's resistance.

Complete step-by-step solution:
We have heard about the heating effect of electric current. The heat is generated due to the collision of electrons in the wire. Joule provided a formula that explained the heating effect and named it Joule’s Law. Joule’s law is a mathematical representation of the rate at which resistance in a circuit transforms electrical energy into heat energy.
The joule’s first law gives the relationship between heat generated by flowing electric current by a conductor.
The amount of produced heat is proportionate to the wire’s resistance when the current circuit and current flow are not altered. The amount of produced heat in a conductor conducting current is proportionate to the square of current flow by the circuit when the resistance and current supply are fixed. The heat generated because of the current flow is proportionate to run when the current flow and resistance are kept consistent.
$Q = I^{2}RT$
Where, Q is the amount of heat.
It is the current.
R is the resistance in the conductor.
T is the time taken.

Note: Electric iron, electric toaster, electric heater are some of the devices that work on the law of the heating effect of electric current. Electric Bulb is another application that runs on the principle of Joule heating. Since the bulb's resistance in a bulb is significant, the heat generated in the bulb is also large. Fuse wire is joined in series in an electric circuit. It has considerable resistance and a moderate melting point. When a large current passes through a circuit due to short-circuiting, the fuse wire melts due to warming, and hence the circuit converts open. Therefore, the electric appliances are preserved from damage.