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Faraday's law conditions

Physics Asked by aP123 on July 2, 2021

Does Faraday’s law only apply when there is a changing B field or change in area for a closed loop?

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One Answer

Both.

The equation $mathscr E = – frac{dPhi}{dt}$ embodies the Faraday law (and, by means of the minus sign, Lenz's law). It can be used when $Phi$ changes due to change in flux density over a stationary loop or due to the loop area changing (motional emf).

In the first case the emf is due to an electric field accompanying a changing magnetic field, in accordance with the Faraday-Maxwell equation $$text{curl} vec E= -frac{partial vec B}{partial t}.$$

In the second case the emf arises from magnetic Lorentz forces acting on the charge carriers in the moving parts of the loop.

Faraday's law covers both cases.

Correct answer by Philip Wood on July 2, 2021

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