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Faraday's laws; static and dynamic emf

Short answer

Faraday's first law: changing flux linkage induces emf. Second law: e = -N dφ/dt. Statically induced emf arises from time-varying flux with stationary conductor (e = -N dφ/dt), e.g., transformer. Dynamically induced emf arises from conductor moving through a magnetic field (e = B l v sinθ), e.g., generator.

State Faraday's Laws of electromagnetic induction. Distinguish between statically induced emf and dynamically induced emf.

Faraday's laws

  1. First law: whenever the flux linked with a circuit changes, an emf is induced in it. The emf exists only while the flux is changing.
  2. Second law: the magnitude of the induced emf equals the rate of change of flux linkage: e = −N dφ/dt (volts). The negative sign (Lenz's law) shows that the emf opposes the change causing it.

Statically and dynamically induced emf

BasisStatically induced emfDynamically induced emf
CauseFlux changes with time, conductor is stationaryConductor cuts a stationary field (or field moves past conductor)
Formulae = −N dφ/dte = B l v sin θ
Sub-typesSelf-induced and mutually inducedMotional emf
ExampleTransformer windings, inductor coilsDC/AC generator armature conductors
Moving partNoneConductor or magnet must move
Direction found byLenz's lawFleming's right-hand rule

✓ Answer checked by Claude Opus 5.5 (high effort)

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