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Question

State Joule's law of heating.


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Solution

Joule's law of heating

  1. The passage of current through a conductor having a resistance is accompanied by the liberation of heat.
  2. Suppose there exists a potential difference V between the two ends of a homogeneous conductor of resistance R.
  3. According to Ohm's law, the current is I=VR.
  4. The work done in taking dq amount of charge from one end to the other is dw=Vdq.
  5. Therefore, the rate at which energy is dissipated in the resistance is

P=dwdt=Vdqdt=VI=I2R

This is the expression of the well-known Joule's law.


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