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Electromagnetic Induction in Physics

Induction is what happens when a magnetic field refuses to stay still. Change the flux through a loop and a voltage appears across it, whether the change came from moving the loop, moving a magnet, or simply letting the field itself swell and fade. Nothing about the loop's own charge is involved, so the rule cannot be stated in terms of forces on moving electrons alone. The minus sign carries real physics as well, since Lenz's law says the induced current always arranges itself to fight the very change that created it. The blocks run from the definition of flux through the law itself, then through the two ways of producing the effect, motion and changing fields, and finish with the generator, which turns this opposition into the mains supply.

Magnetic flux through a flat loop

Given

  • (T)
  • (m²)
  • (rad)
Faraday's law of induction

Given

  • (Wb)
  • (s)
Average induced emf over a finite time

Given

  • (Wb)
  • (s)
Induced emf from a field changing through a fixed coil

Given

  • (m²)
  • (T)
  • (s)
Motional emf in a rod moving through a magnetic field

Given

  • (T)
  • (m)
  • (m/s)
Induced current in a closed loop of resistance

Given

  • (V)
  • (Ω)
Induced electric field from a changing magnetic flux

Given

  • (V/m)
  • (m)
  • (Wb)
Emf of a coil rotating in a magnetic field

Given

  • (T)
  • (m²)
  • (rad/s)
  • (s)
Maximum emf of a rotating coil

Given

  • (T)
  • (m²)
  • (rad/s)
Root mean square emf of a rotating coil

Given

  • (V)