why are there two formulas v^2t/r and i^2rt while they both are same pls explain me
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This is “Joule's law of heating”.
Heat(H) produced is directly proportional to the square of current(I).
Heat produced is directly proportional to the resistance(R).
Heat produced is directly proportional to the time(t) for which current is passed.
H = I² × R × t……(i)
Now,
We know,
“Ohm's law”
Potential difference (V) is directly proportional to the current(I).
V = I × R [R is the resistance and the constant of proportionality.]
=> I = V/R …..(ii)
Substutiing the value of I in equation (ii) in equation (i), we get,
H = I² × R × t
=> H = (V/R)² × R × t
=> H = V² / R × t
(Proved).
I hope you like my answer.
Regards !
A. Rosea
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