# Faraday's Law of Induction

## Faraday's Law of Induction

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

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

Where:

\(\large{ \bigtriangledown \;x\; }\) = divergence operator

\(\large{ \rho }\) (Greek symbol rho) = electric charge density

\(\large{ B }\) = magnetic flux density

\(\large{ E }\) = electric field strength

\(\large{ t }\) = time