A Way To Discover Maxwell's Equations Theoretically |
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Authors: | Krzysztof Rȩbilas |
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Institution: | (1) Zakład Fizyki, Akademia Rolnicza im, Hugona Kołł̧ataja Al. Mickiewicza 21, 31-120 Krakow, Poland |
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Abstract: | The Coulomb force, established in the rest frame of a source-charge Q, when transformed to a new frame moving with a velocity V has a form F = q
E + q
v × B, where E = E′∥ + γE′⊥ and B = (1/c
2)v × E and E′ is the electric field in the rest frame of the source. The quantities E and B are then manifestly interdependent. We prove that they are determined by Maxwell's equations, so they represent the electric
and magnetic fields in the new frame and the force F is the well known from experiments Lorentz force. In this way Maxwell's equations may be discovered theoretically for this
particular situation of uniformly moving sources. The general solutions of the discovered Maxwell's equations lead us to fields
produced by accelerating sources. |
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Keywords: | Maxwell's equations Lorentz transformation Coulomb's law |
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