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Electromagnetic induction - Wikipedia, the free encyclopedia

Electromagnetic induction

From Wikipedia, the free encyclopedia

Electromagnetism
Electricity · Magnetism
Electrostatics
Electric charge
Coulomb's law
Electric field
Gauss's law
Electric potential
Electric dipole moment
Magnetostatics
Ampère's law
Magnetic field
Magnetic dipole moment
Electrodynamics
Electric current
Lorentz force law
Electromotive force
(EM) Electromagnetic induction
Faraday-Lenz law
Displacement current
Maxwell's equations
(EMF) Electromagnetic field
(EM) Electromagnetic radiation
Electrical Network
Electrical conduction
Electrical resistance
Capacitance
Inductance
Impedance
Resonant cavities
Waveguides
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Electromagnetic induction is the production of voltage across a conductor situated in a changing magnetic field or a conductor moving through a stationary magnetic field.

Contents

[edit] Discovery

Michael Faraday is generally credited with having discovered the induction phenomenon in 1831 though it may have been anticipated by the work of Francesco Zantedeschi in 1829. Around 1830 [1] to 1832 [2] Joseph Henry made a similar discovery, but did not publish his findings until later.

[edit] Findings

Faraday found that the electromotive force (EMF) produced around a closed path is proportional to the rate of change of the magnetic flux through any surface bounded by that path.

In practice, this means that an electrical current will be induced in any closed circuit when the magnetic flux through a surface bounded by the conductor changes. This applies whether the field itself changes in strength or the conductor is moved through it.

Electromagnetic induction underlies the operation of generators, induction motors, transformers, and most other electrical machines.

Faraday's law of electromagnetic induction states that:

\mathcal{E} = -{{d\Phi_B} \over dt} ,

where

\mathcal{E} is the electromotive force (emf) in volts
ΦB is the magnetic flux in webers

For the common but special case of a coil of wire, comprised of N loops with the same area, Faraday's law of electromagnetic induction states that

\mathcal{E} = - N{{d\Phi_B} \over dt}

where

\mathcal{E} is the electromotive force (emf) in volts
N is the number of turns of wire (per metre)
ΦB is the magnetic flux in webers through a single loop.

Further, Lenz's law gives the direction of the induced emf, thus:

The emf induced in an electric circuit always acts in such a direction that the current it drives around the circuit opposes the change in magnetic flux which produces the emf.

Lenz's law is therefore responsible for the minus sign in the above equation.

[edit] Practical Demonstration

Two videos demonstrating Faraday's and Lenz's laws can be watched at EduMation.

[edit] Applications

The principles of electromagnetic induction are applied in many devices and systems, including:

[edit] See also

[edit] External links

[edit] References

  • David J. Griffiths (1998). Introduction to Electrodynamics (3rd ed.). Prentice Hall. ISBN 0-13-805326-X. 
  • Paul Tipler (2004). Physics for Scientists and Engineers: Electricity, Magnetism, Light, and Elementary Modern Physics (5th ed.). W. H. Freeman. ISBN 0-7167-0810-8. 
  • J.S. Kovacs and P. Signell, Magnetic induction (2001), Project PHYSNET document MISN-0-145.

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