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Unformatted text preview: nature of electromagnetic waves. We can make use of the identity of vector calculus that ( , where is some vector. Hence ( since . , so: 2 We can find a similar result for the magnetic field. From the definition of 2 (the Laplacian), we can write equations of the form: + + = for every component of the electric and magnetic fields. But, comparing this to the differential wave equation we notice the above is just a wave equation in E x , with the velocity equal to v = . Thus every component of the electric and magnetic field propagates through space with this speed. Maxwell deduced this result and found it to be in close agreement with the experimental value for the speed of light! This analysis remains one of the masterpieces of theoretical physics....
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 Fall '10
 DavidJudd
 Physics, Light

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