Question

derive joule law of heating​

Answer 1

$\sf\star\bold\red{{QUESTION:-}}$

✓✓Derive joule law of heating.

$\sf\star\bold\purple{{ANSWER:-}}$

$\sf\implies$We know that the heating impact of electric current when it travels in a circuit is because of collision among electrons of wire.

At first, let's know about joule's law of heating:-

Joule's law of heating states that the power of heating generated by an electrical conductor is proportional to the product of its resistance and the square of the electric current passing through the conductor.

$\sf\star\bold\green{{CONCEPT:-}}$

• The amount of generated heat is proportional to wire’s electrical resistance when the current in the circuit and the flow of current is not changed.

• The amount of generated heat in a conductor carrying current is proportional to the square of the current flow through the circuit when the electrical resistance and current supply is constant.

• The amount of heat produced because of the current flow is proportional to the time of flow when the resistance and current flow is kept constant.

$\sf\: EXPRESSION:-$

$\sf\implies\:P=VI$

$\sf\implies\:H=P\:\times\:t=Vlt$

$\sf\:But,\implies\:V=lR\:(ohm's\:law)$

$\sf\implies\boxed{\boxed{\sf\therefore\:H={l}^{2}Rt}}$

• H indicates the amount of heat.

• I show electric current.

• R is the amount of electric resistance in the conductor.

• T denotes time.

Answer 2

Answer:

According to the Joule's law, when a current is passed through a conductor for a certain time, the conductor gets heated up and the amount of heat is given by :

H = i2Rt

H is the heat, i is the current, R is the resistance and t is the time.