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Question

State and explain Joule's Law of Heating?


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Solution

Step 1. Statement of Joule's law

Joule’s law of heating states that, when a current 'i'' passes through a conductor of resistance Rfor timetthen the heat developed in the conductor is equal to the product of the square of the current, the resistance and time.

Step 2. Mathematical explanation

Let H be the heat produced when a current 'i'passes through a conductor of resistance rfor timet then

  1. Hi2
  2. HR
  3. Ht

Hi2RtH=1Ji2Rt

Where J=4.2joules/cal

We know that V=iR where V is is the voltage, i is the current and R is the resistance then

H=1Ji2Rt=1JVR2Rt=0.24·1R·V2·t1J=14.2=0.24


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