Question

prove that H = I square Rt

( heating effect of current )

Answer 1

I used the the joules law of heating

Answer 2

To calculate the heat produced in a conductor, consider current I is flowing through a conductor AB of resistance R for time t.

Also consider that the potential difference applied across its two ends is V.

Now, total amount of work done in moving a charge q from point A to B is given by:


W = q X V (1)


Now,

We know that charge = current × time


or q = I X t


and V = I X R (Ohm’s law)

Putting the values of q and V in equation (1), we get


W = (I X t) X (I X R)


Or W = I^2Rt


Now,

Assuming that all the work done is converted into heat energy we can replace symbol of ‘work done’ with that of ‘heat produced’. So,


H = I^2RT