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Heating effect of current

Beginner

Joule heating.

Key relationH = I²Rt

Collisions of charge carriers with the lattice convert electrical energy to heat: H = I²Rt (Joule heating). Used in heaters and fuses; wasted in cables.

Worked example

A 10 A current through a 2 Ω element for 60 s: 12 kJ.

Common mistake

Doubling current quadruples heating.

In more detail

When current flows through a resistor, electrical energy is converted into thermal energy. This Joule heating is used in toasters, kettles and heaters.

Real-world uses

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Frequently asked questions

Is Joule heating always wanted?

No. In wires it is an unwanted loss, which is why thick cables are used.

How much heat is produced?

Power times time, in joules, equal to I squared R times time.

Why do thick cables not heat up as much?

Thick cables have lower resistance, so less energy is wasted as heat for the same current.

Related topics in Current Electricity & Circuits

Resistors in parallel · Colour code of resistors · Electric power · Electrical energy and cost · EMF and internal resistance · Cells in series and parallel

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