Faraday's law of induction

Faraday's law of induction gives the relation between the rate of change of the magnetic flux through the area enclosed by a closed loop and the electric field induced along the loop:

Related Topics:
Magnetic flux - Electric field

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:oint_S mathbf{E} cdot dmathbf{s} = -{dPhi_B over dt}

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where E is the induced electric field, ds is an infinitesimal element of the closed loop and dΦB/dt is the rate of change of the magnetic flux. Or, in differential form in terms of magnetic field B:

Related Topics:
Infinitesimal - Magnetic field

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: abla imes mathbf{E} = -rac{partial mathbf{B}} {partial t}

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In the case of an inductor coil where the electric wire makes N turns, the formula becomes:

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:V=-N{Delta Phi over Delta t}

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where V is the induced electromotive force and ΔΦ/Δt denote the change of magnetic flux Φ during the time interval Δt. The direction of the electromotive force (the negative sign in the above formula) was first given by Lenz's law.

Related Topics:
Electromotive force - Lenz's law

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He also states that An EMF is inducted when the magnetic field around a conductor changes in his first law and The magnitude of the induced emf is proportional to the rate of change of the flux linkage in his second.

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Faraday's law, along with the other laws of electromagnetism, was later incorporated into Maxwell's equations, unifying all of electromagnetism.

Related Topics:
Electromagnetism - Maxwell's equations

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Faraday's law of induction is based on Michael Faraday's experiments in 1831.

Related Topics:
Michael Faraday - 1831

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See also induction.

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