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Lecture: Maxwell’s Equations - Fermilab

Lecture: Maxwell s EquationsMicrowave Measurement and Beam Instrumentation Courseat Jefferson Laboratory, January 15-26th2018F. MarhauserMonday, January 15, 2018 This Lecture This lecture provides theoretical basics useful for follow-up lectureson resonators and waveguides Introduction to Maxwell s Equations Sources of electromagnetic fields Differential form of Maxwell s equation Stokes and Gauss law to derive integral form of Maxwell s equation Some clarifications on all four Equations Time-varying fields wave equation Example: Plane wave Phase and Group Velocity Wave impedance2 Maxwell s EquationsA dynamical theory of the electromagnetic fieldJames Clerk Maxwell, F. R. Transactions of the Royal Society of London, 1865 155, 459-512, published 1 January 1865 Maxwell s EquationsTaken from Longair, M.

- Together with the Lorentz force these equations form the basic of the classic electromagnetism Lorentz Force. Divergence (Gauss’) Theorem 7 Integral of divergence of vector field ( ) over volume V inside closed boundary S equals outward flux of vector field ( ) through closed surface S

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