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Electric and Magnetic Fields

Faraday's law and Lenz's law

  • 2 things to know
  • Papers 1 and 3

Overview

Recall questions on the two laws and the single equation expressing both, what the minus sign means, how Lenz's law follows from energy conservation, and the magnet-in-a-copper-tube effect.

What you need to know

Answer each one before you reveal it.

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Numbers

Which single equation expresses both Faraday's law and Lenz's law, and what does Lenz's law state?

Numbers

What does the minus sign in E = −d(Nφ)/dt represent, how does Lenz's law follow from conservation of energy, and which pole is induced when a north pole is pushed towards a coil?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What does Faraday's law of electromagnetic induction state?

    Model answer

    The magnitude of the induced e.m.f. is equal to the rate of change of flux linkage.

  2. 2

    What does Lenz's law state?

    Model answer

    The direction of an induced e.m.f. is such that any current it drives opposes the change that is producing it.

  3. 3

    Which single equation expresses both Faraday's law and Lenz's law?

    Model answer

    E = −d(Nφ)/dt, where Nφ is the flux linkage.

  4. 4

    What does the minus sign in E = −d(Nφ)/dt represent?

    Model answer

    It represents Lenz's law, showing that the induced e.m.f. opposes the change in flux linkage that causes it.

  5. 5

    How does Lenz's law follow from the conservation of energy?

    Model answer

    If the induced effect assisted the change, the motion would speed up and electrical energy would be produced from nothing; because it opposes the change, work must be done against it and that work is the source of the electrical energy.

  6. 6

    The north pole of a magnet is pushed towards a coil. Which pole is induced on the face of the coil nearest the magnet, and why?

    Model answer

    A north pole is induced, because it repels the approaching magnet and so opposes the motion producing the e.m.f.

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