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Maxwell’s Quaternion Equations
Space Science JournalThe equations of electrodynamics must, first of all, satisfy the law of conservation of energy. It is shown that Maxwell's equations can be obtained from the Cauchy-Riemann conditions for a quaternion in 4D space. Electrons are written as 4D vectors in energy space, in which the first elements represent the real part of the quaternion (scalar), and the
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2012
The empirical basis of electrodynamics is defined by Faraday’s law of induction, by Gauss’ law, by the law of Biot and Savart and by the Lorentz force and the principle of universal conservation of electric charge. These laws can be tested – confirmed or falsified – in realistic experiments.
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The empirical basis of electrodynamics is defined by Faraday’s law of induction, by Gauss’ law, by the law of Biot and Savart and by the Lorentz force and the principle of universal conservation of electric charge. These laws can be tested – confirmed or falsified – in realistic experiments.
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1984
In this chapter we collect together the basic equations of electromagnetism and express them in the form first devised by Maxwell to represent correctly the relationships between the electric field E and the magnetic field B in the presence of electric charges and electric currents, whether steady or rapidly fluctuating, in a vacuum or in matter. These
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In this chapter we collect together the basic equations of electromagnetism and express them in the form first devised by Maxwell to represent correctly the relationships between the electric field E and the magnetic field B in the presence of electric charges and electric currents, whether steady or rapidly fluctuating, in a vacuum or in matter. These
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2013
Time-varying currents and charges are known to produce time-varying electromagnetic fields. Time-varying electromagnetic fields are governed by Faraday’s law and Ampere’s law, which are two fundamental equations in electrodynamics. Two additional Gauss’s laws can be derived from Faraday’s law and Ampere’s law.
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Time-varying currents and charges are known to produce time-varying electromagnetic fields. Time-varying electromagnetic fields are governed by Faraday’s law and Ampere’s law, which are two fundamental equations in electrodynamics. Two additional Gauss’s laws can be derived from Faraday’s law and Ampere’s law.
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