Faraday's law of induction

Faraday's law states that the electromotive force around a closed loop equals the negative rate of change of magnetic flux through the loop. It describes how changing magnetic fields produce electric fields.

Magnetic flux: A measure of the magnetic field passing through a surface, given by the surface integral of the field's normal component. Its change through a loop determines the induced electromotive force.
Magnetic field: A vector field that describes magnetic influence on moving charges, currents, and magnetic materials. Its distribution across a surface determines the magnetic flux in the law.
Electric generator: A device that converts mechanical energy into electrical energy through electromagnetic induction. Generators produce voltage by continually changing magnetic flux through coils.
Michael Faraday: An English scientist whose experiments established electromagnetic induction and whose work shaped electrochemistry. His 1831 experiments revealed that changing magnetic conditions induce electrical effects.
Gauss's law for magnetism: Maxwell's equation stating that the net magnetic flux through any closed surface is zero. It constrains magnetic fields but does not describe their time-varying induction of electric fields.
Electromotive force: The energy supplied per unit charge around a circuit, measured in volts. Faraday's law gives the electromotive force generated by changing flux.
Electric field: A vector field that exerts force on electric charges. A changing magnetic field creates a circulating electric field.
Transformer: A device that transfers electrical energy between circuits through changing magnetic flux in coupled coils. Its changing core flux induces voltage in the secondary winding.
Faraday's iron-ring experiment: Michael Faraday's 1831 experiment in which changing current in one coil induced a brief current in another coil on an iron ring. It demonstrated induction between separate circuits through changing magnetic flux.
Ampère–Maxwell law: Maxwell's equation relating magnetic fields to electric current and changing electric fields. It complements Faraday's law by describing how magnetic fields are generated.

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