# 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.

## formula

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

Where:

\(\bigtriangledown \;x\;\) = divergence operator

\(\rho\) = electric charge density

\(B\) = magnetic flux density

\(E\) = electric field strength

\(t\) = time