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Electromagnetism

Electromagnetic induction: Faraday's and Lenz's laws

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on Faraday's and Lenz's laws, ε = −d(NΦ)/dt and its minus sign, Lenz's law and conservation of energy, induced e.m.f. calculations and the effect of turns and time, the pole induced by an approaching magnet, the work needed to push it in, ε = BLv for a moving rod, and why a current needs a complete circuit.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

Explain why Lenz's law is a consequence of conservation of energy.

Key term

Explain why work must be done to push a magnet into a coil that is part of a closed circuit.

Key term

Why is a complete circuit needed to produce an induced current, but not to produce an induced e.m.f.?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State Faraday's law of electromagnetic induction in words.

    Model answer

    The e.m.f. induced in a circuit is equal to the rate of change of flux linkage through it.

  2. 2

    Write the equation that relates induced e.m.f. to flux linkage.

    Model answer

    The induced e.m.f. is ε = −d(NΦ)/dt, where N is the number of turns and Φ is the flux through one turn.

  3. 3

    What does the minus sign in the induced e.m.f. equation represent?

    Model answer

    It represents Lenz's law, that the induced e.m.f. acts in the direction that opposes the change of flux linkage producing it.

  4. 4

    State Lenz's law.

    Model answer

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

  5. 5

    Explain why Lenz's law is a consequence of conservation of energy.

    Model answer

    If the induced effect helped the change instead of opposing it, the change would grow on its own and produce electrical energy from nothing, so opposition is needed for energy to be conserved.

  6. 6

    The flux linkage through a coil falls steadily from 0.50 Wb-turns to zero in 0.020 s. Calculate the magnitude of the induced e.m.f.

    Model answer

    The magnitude of the e.m.f. is 0.50 ÷ 0.020 = 25 V.

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