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The expression for heat generated in a conductor of resistance $R$ with a current $I$ flowing through it for time t is

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H = IRT

H = I R^{2} t

H = I^{2} Rt

H = \frac{I^{2} R}{t}

answer is C.

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Detailed Solution

The expression for heat generated in a conductor of resistance

R

with a current

I

flowing through it for time

t

H = I^{2} Rt

.
H =

I^{2} Rt

is the expression for Joules law of heating, where

H

is the heat produced and

R

is the resistance of a conductor. There is a constant current

I

flowing through the conductor in given time

t

. Let a current I flow through a resistance R and let the potential difference be

V

and

t

be the time for which the current flows. We know the total amount of electric charge will be

Q = It

Using the formula for work:

W = VQ

W = VIt

------- (1)
Here the work done is equal to the heat produced hence

H = VIt

------- (2)
Now, using Ohm’ law

V = IR

--------(3)
Substituting (3) in (2)

H = IRIt

H = I^{2} Rt

https://lh4.googleusercontent.com/LhkZq92khHKhExdtBtclcHKHSW706cHgkbphzaQfF1JXjqXMXX02KkBu1kJlWqFrv7Vj4Ii8RjaGug0KpFzsePeLvXZDcB5wN7hb2iqB-Fy0QFJBToHudJ7I6TDOfeshjx4m8H-p6z6TnfFoiBkohR--nxsY23mkEJDRWhJmDTr3To3MtTsVU0sP6vM5jyY6meTEfA

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