Themes > Science > Physics > Electromagnetism > Electrostatics > Electric Potential, or Voltage > Development of Electromotive Force > Faraday's Law

In the early 1830’s, Michael Faraday and Joseph Henry independently discovered the relationship between changing magnetic fields and induced EMF in circuits. If B is the flux density of a constant magnetic field and a conductor is moved through this field at a velocity V, an EMF E is generated in the conductor such that:

E=BxV

If the conductor is part of a complete electrical circuit with a resistance R, then the EMF will produce a current in the conductor such that:

I = E / R = B x V / R

 
Figure 1

The development of an EMF in a conductor moving in a magnetic field is the principle on which many types of tachometers are based. By using the commutation techniques described in the next section, a rotary device can be constructed which has, as its input, a rotary mechanical motion and, as its output, a voltage proportional to that input rotational velocity.

Another specific application of Faraday’s Law is used in electric motors. That is, if a conductor of length L carrying a current I is placed in a magnetic field B, a magnetic force F is created such that:

F = BLI sin A

where A is the included angle between B and I.

The force vector F is a vector perpendicular to both vector quantities B and I.

 
Figure 2


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