Maxwell s equations observed in nature

AI Thread Summary
Maxwell's equations can be used to derive the speed of light through their plane wave solutions, demonstrating that all known electromagnetic phenomena, including light propagation and circuit laws, are explained by these equations. The reflection of light off surfaces, such as mirrors, is another example of their application. While the mathematics involved is complex, Maxwell's equations are fundamental in applied science and engineering, influencing the design of everyday technology like cell phones and computers. The discussion highlights a desire to explore more natural phenomena explained by these equations beyond just light. Overall, Maxwell's equations serve as a crucial framework for understanding various electromagnetic interactions in nature.
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I am interest in see the derivation for the speed of light from maxwells equations, or other interest derivation base on it.

I want to understand whatever "natural" phenonmen that could be explained by maxwell s equations.
 
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The speed of light can be derived from Maxwell's equation when solving for their plane wave solution. In fact, all known electromagnetic phenomena (light and electric field propagation) can be described by these equations. These include the circuit laws (which turn out to be approximations only good at low frequency). So the fact that light reflects off a mirror can be explained using Maxwell's equations. Unfortunately the mathematics is relatively rigorous, but I can tell you that they are used in applied science and engineering all the time to build things like your common cell phone and computer.
 
I am interested in natural phenonmen that can be explained by maxwell s equations. Light of couse is one example, but what elses?
 
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