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Joule’s law

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College Physics I – Introduction

Definition

Joule's law states that the rate of heat production by an electric current in a conductor is directly proportional to the square of the current, the resistance of the conductor, and the time. Mathematically, it is expressed as $P = I^2R$ where $P$ is power, $I$ is current, and $R$ is resistance.

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5 Must Know Facts For Your Next Test

  1. Joule's law can be used to calculate the power dissipated as heat in resistors.
  2. The formula $P = I^2R$ indicates that power increases with the square of the current.
  3. In a series circuit, all resistors share the same current, so Joule's law applies directly using that common current.
  4. In a parallel circuit, each resistor has its own current which must be calculated separately before applying Joule's law.
  5. Joule's law helps explain why resistors in electronic devices get hot when a current flows through them.

Review Questions

  • What does Joule's law state about heat production in a conductor?
  • How does power dissipation change with respect to current according to Joule's law?
  • How would you apply Joule’s law to determine the power dissipated in a resistor within a parallel circuit?

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