Question

derive an equation for the amount of heat produced in a conductor
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Answer 1

Answer:

Explanation:

The resistance, R of the conductor. A higher resistance produces more heat

The time, t for which current flows. The longer the time the larger the amount of heat produced

The amount of current, I. the higher the current the larger the amount of heat generated.

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×V

Now, we know that charge = current × time

q = I× t

V = I × R

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

W = (I × t) (I×R)

W= I²Rt

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     =     I²RT