Question

Does the heat produced in a conductor depend on length and thickness of the wire?
Justify your statement.​

Answer 1

Answer:

Heat produced by current when passes in wire, is because of the wire’s resistance “ R ”.

Heat produced = I2∗R∗t , Where I is the current in amperes that pass in this wire. And R is the wire resistance. And t is the time.

And because of the resistance of the wire depends on the length and the CSA, or call CSA as thickness. R=ρlA , Where l is the length of your wire, and A is the effective cross-section area of your conductor, or simply call it thickness.

Now Heat produced = I2∗ρlA∗t , As you see with an increase in length the heat produced will increase Heat∝l , but for CSA Heat∝1A .

Answer 2

Answer:

Amount of heat produced in wire = I

2

R

Where R = Resistance of wire

I = Current through wire

As resistance of wire R∝

A

L

So heat produced depends on Length as well as thickness.