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Electrodynamics

by Abhishek Apoorv
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Module I: Electromagnetic waves Lecture 1: Maxwell’s equations: a review Amol Dighe TIFR, Mumbai
Outline 1 Maxwell’s equations in vacuum 2 Maxwell’s equations inside matter
Coming up... 1 Maxwell’s equations in vacuum 2 Maxwell’s equations inside matter
In the language of differential vector calculus Gauss’s law: ~ = ρ ∇·E 0 (1) Gauss’s law for magnetism: ~ =0 ∇·B (2) ~ ~ = − ∂B ∇×E ∂t (3) Maxwell-Faraday equation Ampere’s law, with Maxwell’s correction ~ = µ0 ∇×B ~ ~J + 0 ∂ E ∂t ! We shall now look at interpretations of these expressions by using their integral forms. (4)

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