Respuesta :
[tex]H=\frac{V^2}{R}\times t[/tex] is the equation that represents the Joule's law of heating.
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 = [tex]H = I^2 Rt[/tex] .....................(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).
[tex]V\ \alpha\ I\\V=I\times R[/tex] ...............................................(2)
From (2), Current (I) can be rewritten as
[tex]I = \frac{V}{R}[/tex] ........................................................(3)
Substituting (3) in (1), we get
[tex]H = I^2\times R\times t \\=(\frac{V}{R} )^2\times R\times t\\\\=\frac{V^2}{R^2}\times R\times t = \frac{V^2}{R}\times t\\\\ H =\frac{V^2}{R}\times t[/tex]
