Electromagnetics

Electromagnetics pertains to Electromagnetic Fields, /Electromagnetic Waves/, and various other electromagnetic constructs.

Please visit Electrodynamics for the time being as this is far less complete.

The intention is to arrange information primarily from wikipedia in a linear (book type) fashion with chapters where sections in the chapters are wikipedia articles such as Transverse modes. In this way it can be used for a course. The current obstacle is how to allow these pages to be dynamically included such that updates to those pages are also updated in the book. To keep both updated manually results in a duplication of effort. It is possible that it will remain a compilation of ordered links and recommended readings, perhaps with the addition of sample problems.

Light, Microwaves, X-rays, Cosmic radiation, etc. are all electromagnetic phenomenon.

In the case of static fields each component can exist independantly meaning you can study Magnetostatics and Electrostatics separately.

In the case of time varying fields they are inseparably linked meaning Electrodynamics also includes dynamic magnetic elements.

Should we define such a field by a vector representing the electric component, the magnetic component is perpendicular to it.

This is described by the differential equations:

$\mathrm{\nabla }\times 𝐄=-\frac{\partial 𝐁}{\partial t}$ (Faraday's law)

$\mathrm{\nabla }\times 𝐁={\mu }_0𝐉+{\mu }_0{\epsilon }_0\frac{\partial 𝐄}{\partial t}$ (Ampère-Maxwell law)

The divergence of the fields is described by the differential equations:

$\mathrm{\nabla }\cdot 𝐄=\frac{\rho }{{\epsilon }_0}$ (Gauss' law - electrostatics)

$\mathrm{\nabla }\cdot 𝐁=0$ (Gauss' law - magnetostatics)

Wikipedia links

• Computational Electromagnetics