Question

derive an expression for heat produced in a resistor​

Answer 1

Answer:

When an electric charge Q moves against a p.d. V, the amount of work done is given by

W=Q×V                           ---------------(1)  

We know,  current , I=  

t

Q

​  

 

Q=I×t                                ------------(2)

By ohm's law ,  

I

V

​  

=R

V=I×R                             --------------(3)

Putting eqs. (2) and (3) in eq. (1),

W=I×t×I×R

W=I  

2

Rt

Assuming that all the electrical work done is converted into heat energy , we get

Heat produced , H=I  

2

Rtjoules

This relation is known as Joule's law of heating.

Step-by-step explanation: