# Faraday's Law of Induction

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