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Introduction to Electromagnetic Theory

1/19/181 Lecture topics Laws of magnetism and electricity Meaning of Maxwell s equations Solution of Maxwell s equationsIntroduction to Electromagnetic TheoryElectromagnetic radiation: wave model James Clerk Maxwell (1831-1879) Scottish mathematician and physicist Wave model of EM energy Unified existing laws of electricity and magnetism (Newton, Faraday, Kelvin, Amp re) Oscillating electric field produces a magnetic field (and vice versa) propagates an EM wave Can be described by 4 differential equations Derived speed of EM wave in a vacuum Speed of light measured by Fizeauand Foucault between 1849 and 18621/19/182 Electromagnetic radiation EM wave is: Electric field (E) perpendicular to magnetic field (M) Travels at velocity, c(~3 108m s-1, in a vacuum)Dot (scalar) productA B= |A||B| cos If Ais perpendicular to B, the dot product of Aand Bis zero1/19/183 Cross (vector) productaxb=[(a2b3-a3b2), (a3b1-a1b3), (a1b2-a2b1)]a b= |a||b| sin nIfaisparallel tob, the cross product ofaandbis zeroDiv, Grad, CurlTypes of 3D vector derivatives:The Deloperator: The Gradientof a scalar function f(vector):The gradient points in the direction of steepest ascent.

1/19/18 1 Lecture topics • Laws of magnetism and electricity • Meaning of Maxwell’s equations • Solution of Maxwell’s equations Introduction to Electromagnetic Theory

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