Maxwell's Electromagnetic Theory: Difference between revisions

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===A Computational Model===
===A Computational Model===


How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]
Maxwell's equations can be used to model a multitude of scenarios. Check out http://www.matterandinteractions.org/student/Mechanics/LectureVideos/Content/Ch23.html for several interesting demonstrations.


==Examples==
==Examples==

Revision as of 21:57, 1 December 2015

Claimed by Megan Sales

A general description of "A Dynamical Theory of the Electromagnetic Field," proposed by Maxwell in 1865.

The Main Idea

Maxwell's theory proposed that electric and magnetic fields move as waves at the speed of light. This was the first time electricity, magnetism, and light had been related in such a way. The theory is also the source of the heavily used Maxwell Equations.

A Mathematical Model

Maxwell Equations:

A Computational Model

Maxwell's equations can be used to model a multitude of scenarios. Check out http://www.matterandinteractions.org/student/Mechanics/LectureVideos/Content/Ch23.html for several interesting demonstrations.

Examples

Be sure to show all steps in your solution and include diagrams whenever possible

Simple

Middling

Difficult

Connectedness

  1. How is this topic connected to something that you are interested in?
  2. How is it connected to your major?
  3. Is there an interesting industrial application?

History

When James Clerk Maxwell came out with his paper, "A dynamical theory of the electromagnetic field," in 1865, it was found hard to understand and widely ignored. Even so, it is one of the most important pieces of theory in our history. He himself downplayed the importance of his theory, putting more emphasis on Kelvin's vortex theory during his own address. Furthermore, it was hard to grasp the concept of intangible fields. Scientists, including Maxwell, tried to picture fields as tangible structures, but to use these mechanical models with the Maxwell equations, they had to be exceedingly complicated. Later, other physicists such as Hertz, Lorentz, and Einstein clarified his theory.

When the paper first was written, it was read to the Royal Society. It was next read and reviewed by many other notable physicists, all prior to its publication. Even once it was published, very few copies were produced.

There were originally 20 equations. These were reduced by Heaviside into 8 equations, and these later became the four equations we are familiar with.



See also

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

Further reading

The theory itself:

http://www.ymambrini.com/My_World/History_files/maxwell_emf_1865.pdf

References

http://www.damtp.cam.ac.uk/user/tong/em/dyson.pdf