Written by Jerry Ratzlaff on . Posted in Electromagnetism

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