Lecture 9 Maxwell's Equations

Lecture 9 Maxwell's Equations - cture 9 Lecture 9 Maxwells...

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Unformatted text preview: cture 9 Lecture 9 Maxwells Equations Part 1: Time Varying Field Analysis and plane wave lution solution Hayt CH 10, 12 1 McGill ECSE 352, Fall 2011, D. Davis axwells Equations Maxwell s Equations e relationships developed in your previous The relationships developed in your previous electromagnetics course were focused on the atic electric and magnetic fields static electric and magnetic fields. In this lecture we will discuss the time varying elds and how the wave equation is a general fields and how the wave equation is a general solution to Maxwells Equations. McGill ECSE 352, Fall 2011, D. Davis 2 axwells Equations Maxwell s Equations iven an electric field E and magnetic flux Given an electric field E and magnetic flux density B, Faradays law can be written as: Where the curl of the electric field is proportional to the time rate of change of the magnetic flux density. Note the similarity to the telegrapher equation. McGill ECSE 352, Fall 2011, D. Davis 3 axwells Equations Maxwell s Equations the case of Amperes Law given a magnetic In the case of Ampere s Law, given a magnetic field H, electric flux density D and nduction current J we can write: conduction current J we can write: Note that the relationships to the right of the equality are both currents. The time varying term is the displacement current. McGill ECSE 352, Fall 2011, D. Davis 4 axwells Equations Maxwell s Equations auss Law for electric flux is written as: Gauss Law for electric flux is written as: Where the volume charge density (the right...
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This note was uploaded on 12/03/2011 for the course ECSE 352 taught by Professor Mi during the Fall '10 term at McGill.

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Lecture 9 Maxwell's Equations - cture 9 Lecture 9 Maxwells...

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