# 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 $$\large{sec}$$ $$\large{s}$$ Tags: Magnetic Equations