Faraday's Law of Induction

Written by Jerry Ratzlaff on . Posted in Electromagnetism

Faraday's law of induction states that whenever a conductor is placed in a varying magnetic field, an electromotive force is introduced.

Faraday's Law of Induction (Maxwell's third equation) states:

  • That a changing magnetic field within a loop gives rise to an induced current, which is due to a force or voltage within that circuit.
  • Electric current gives rise to magnetic fields. Magnetic fields around a circuit gives rise to electric current.
  • A magnetic field changing in time (t) gives rise to an E-field circulating around it.
  • A circulating E-field in time gives rise to a magnetic field changing in time.

 

Faraday's Law of Induction formula

\(\large{ \triangledown x\; E = \frac { \partial B} { \partial t} }\)   

Where:

 Units English Metric
\(\large{ \triangledown x\; }\) = divergence operator    
\(\large{ \rho }\)  (Greek symbol rho) = electric charge density \(\large{\frac{A-sec}{ft^3}}\)  \(\large{\frac{C}{m^3}}\)
\(\large{ E }\) = electric field strength   \(\large{\frac{V}{m}}\)
\(\large{ B }\) = magnetic flux density   \(\large{\frac{Wb}{m^2}}\)
\(\large{ t }\) = time \(\large{sec}\) \(\large{s}\)

 

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Tags: Magnetic Equations