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Understanding Maxwell's Equations and Their Applications in Physic

Explore Maxwell's Equations and their significance in explaining electromagnetism and electromagnetic fields. Discover how they are applied in free space and in matter, including charging capacitors and boundary conditions. Learn about the laws of Gauss, Faraday, and Ampere, and delve into the theory of reflection and refraction.

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Understanding Maxwell's Equations and Their Applications in Physic

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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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