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ece107_set4_nbg

# ece107_set4_nbg - ECE 107 Electromagnetism Set 4 Maxwells...

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1 ECE 107: Electromagnetism Set 4: Maxwell s equations Instructor: Prof. Vitaliy Lomakin Department of Electrical and Computer Engineering University of California, San Diego, CA 92093

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2 Time domain Maxwell s equations: Differential Maxwell s equations (1) Faraday s law Ampere s law Gauss s law Gauss s law-magnetic t ∇× = B E t ∇× = + D H J ρ ∇⋅ = D 0 ∇⋅ = B Basic quantities: 2 ( , ) electric field ( , ) magnetic field ( , ) electric flux density ( , ) magnetic flux density t V m t A m t C m t E r H r D r B r 2 2 3 webers electric current density charge density m A m C m ρ J
3 Frequency domain Maxwell s equations : Differential Maxwell s equations (2) Faraday s law Ampere s law Gauss s law Gauss s law-magnetic ∇ × E = j ω B ∇ × H = j ω D + J ∇⋅ D = ρ ∇⋅ B = 0 Basic quantities: E ( ω , r ) electric field (phasor) V m H ( ω , r ) magnetic field (phasor) A m D ( ω , r ) electric flux density (phasor) C m 2 B ( ω , r ) magnetic flux density (phasor) webers m 2 J electric current density (phasor) A m 2 ρ charge density (phasor) C m 3 t j ω ∂ ∂ →

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