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Q.

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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a

H=IRT

b

H=IR2t

c

H=I2Rt

d

H=I2Rt 

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 is H=I2Rt.
H = I2Rt 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=I2Rt
https://lh4.googleusercontent.com/LhkZq92khHKhExdtBtclcHKHSW706cHgkbphzaQfF1JXjqXMXX02KkBu1kJlWqFrv7Vj4Ii8RjaGug0KpFzsePeLvXZDcB5wN7hb2iqB-Fy0QFJBToHudJ7I6TDOfeshjx4m8H-p6z6TnfFoiBkohR--nxsY23mkEJDRWhJmDTr3To3MtTsVU0sP6vM5jyY6meTEfA  
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