Question

How do we get this equation ??


H=V^2÷R

Answer 1

`H=(V^2)/(R)* t` is the equation that represents the Joule's law of heating.

Step-by-step explanation:

Joule's law of heating defines the heat generated by any current flowing conductor is directly proportional to

1. Square of Current (I²),

2. Resistance of the conductor (R)

3. Time for which current is passed (t)

Hence, Heat generated =
`H = I^2 Rt` .....................(1)

By Ohm's Law, the potential difference (V) across a conductor is directly proportional to the current(I) flowing through it. The constant of proportionality is termed as resistance of the conductor (R).

`V\ \alpha\ I\\V=I* R` ...............................................(2)

From (2), Current (I) can be rewritten as

`I = (V)/(R)` ........................................................(3)

Substituting (3) in (1), we get

`H = I^2* R* t \\=((V)/(R) )^2* R* t\\\\=(V^2)/(R^2)* R* t = (V^2)/(R)* t\\\\ H =(V^2)/(R)* t`