# Lec17 - Maxwells Equations Faradays Law UCF d E dl = dt C B...

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Maxwell’s Equations

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CF Faraday’s Law UCF ∫∫ = S C dS dl B E dt d Differential Form: B t E
CF Modified Ampere’s Law UCF tegral Form: Integral Form: S S l d ∫∫ ∫∫ + S S C dS dS dl D dt J H Differential Form: Displacement current t + = × D J

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CF Gauss’s Law UCF Integral Form: ∫∫∫ ∫∫ = V S dV ρ V dS D Differential (or Point) Form: V ρ =
CF Gauss’s Law for Magnetic Field UCF Integral Form: 0 = ∫∫ dS S B ifferential (or Point) Form: Differential (or Point) Form: 0 =

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CF Maxwell’s Equations UCF = × B E t + = × D J H ρ = D t 0 = B V
CF Conservation of Charge UCF Integral Form: ∫∫∫ ∫∫ = V S dV ρ dt d V dS J Differential Form: t ρ = V i C J J J + = - pressed (source) current c i J J --- impressed (source) current --- conduction current

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CF Phasor Form Representation of ime Harmonic Signal UCF Time Harmonic Signal ) φ ω t cos( A + = U Time domain ] Ae Re[ φ ) j( ω t = + ] e Ae Re[ j ω j φ t = j φ e hasor form (in frequency domain) Ae U = Phasor form (in frequency domain) To go back to time domain ] Ue Re[ j ω t =
CF Derive Equations in Phasor Form UCF = × B E ω e t j = ) Re( t E e t j t j = ) Re( B j t e j e t j

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## This note was uploaded on 11/20/2011 for the course EEL 3740 taught by Professor Wu during the Fall '11 term at University of Central Florida.

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Lec17 - Maxwells Equations Faradays Law UCF d E dl = dt C B...

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