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Maxwell’s Equations

Maxwell’s Equations. Gauss’s law. no magnetic monopoles!. Faraday’s law. Ampere’s law with Maxwell’s correction. Maxwell’s Equations in Free Space. Charging capacitor. If the capacitor plates are very close together, the electric field is: For the loop L: For the loop R:.

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Maxwell’s Equations

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  1. Maxwell’s Equations Gauss’s law no magnetic monopoles! Faraday’s law Ampere’s law with Maxwell’s correction Maxwell’s Equations in Free Space

  2. Charging capacitor If the capacitor plates are very close together, the electric field is: For the loop L: For the loop R:

  3. Maxwell’s Equations in Matter In the static case: (polarization current) Gauss’s law

  4. Ampere’s law with Maxwell’s correction displacement current Those Maxwell’s equations must be supplemented by constitutive relations, e.g.:

  5. Boundary Conditions In general, electric and magnetic fields are discontinuous at a boundary between two different media These equations are the basis for the theory of reflection and refraction

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