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vin300
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How did maxwell derive the momentum of electromagnetic wave to be E/c ?
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Maxwell's derivation of EM wave momentum is a mathematical explanation for how electromagnetic waves carry momentum. This was first proposed by James Clerk Maxwell in his famous set of equations, known as Maxwell's equations.
In Maxwell's derivation, the momentum of an electromagnetic wave is directly proportional to its energy and inversely proportional to the speed of light. This means that as the speed of light increases, the momentum of the wave also increases.
The formula E/c represents the ratio of the energy of an electromagnetic wave to the speed of light. This ratio is used to calculate the momentum of the wave, as the momentum is equal to the energy divided by the speed of light.
Maxwell's derivation is supported by various experiments and observations, such as the deflection of light by a magnetic field and the movement of charged particles in an electric field. These phenomena can only be explained by considering the momentum of electromagnetic waves.
Maxwell's derivation has greatly enhanced our understanding of electromagnetic waves and their behavior. It has helped us to understand how these waves interact with matter and how they can be used in various technologies, such as radio communication and medical imaging.