Question

Obtain the mathematical expression for the heat generated in a metallic conductor by electric current (Joule's law).​

Answer 1

Answer:

Obtain the mathematical expressions for the heat generated in a metallic conductor by electric current (Joule's law) The charge passing through the conductor in timet when the current I flows in the conductor is Q= It . The work done in this process is W=VQ …. This work is converted into heat.

Explanation:

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Answer 2

Answer:

If V is the potenial difference applied across a metallic given by Ohm's law, is

I=V/R

The charge passing through the conductor in timet when the current I flows in the conductor is Q= It .

The work done in this process is W=VQ ….

W=(IR)(It)=I2Rt=Vit=V(VR)t=V2Rt

This work is converted into heat.

When I is expressed in ampere, R in ohm, t in second and V in volt, W is expressed in joule. In that case,

W=I2Rt+VIt=V2Rt (in joule )

Usually heat energy (H) is expreseed in calorie. Using the relation 4.18 J = 1 cal , we have

H=W=I2RT4.18( in cal)=V2t4.18R(in cal)

This is the required expression