MAXWELL EQUATION

Ampere-Maxwell's Law

Faraday's Law of Induction

Gauss's Law for Static Electric Field

Gauss's Law for Static Magnetic Field

Integral Form

Differential Equation

Integral Form

Differential Form

Differential Form

Integral Form

Integral Form

Differential Form

image

image

image

image

image

image

image

image

Electric charge q produces an electric field E

Electric field flux passing through any closed surface is proportional to the total charge contained within that surface

Total magnetic flux passing through any closed surface is 0

There are no magnetic monopoles

no magnetic flow sources, magnetic flux lines always close upon themselves

electric current I or a changing electric flux through a surface produces a circulating magnetic field around any path that bounds that surface.

• Electric currents and changes in electric fields are proportional to the magnetic fields circulating about the areas where they accumulate

electric field produced by electric charge diverges from positive charge and converges upon negative charge

The divergence of the magnetic field at any point is zero.

There are no magnetic monopoles

Changing magnetic field induces a circulating electric field

Changing magnetic flux through a surface induces an e.m.f

Circulating electric field is produced by a magnetic field that changes with time

circulating magnetic field is produced by an electric current and by an electric field that changes with time