EE2011 Lecture 3 - Electrostatics Parrt II

D 0e 0 ee 01 prof joshua le wei li em research

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Unformatted text preview: Homogeneous if ( , , ) are are constant. – D= 0E + 0 eE= 0(1 + Prof Joshua Le-Wei Li, EM Research Group Prof e)E= 13 E. E. A dielectric medium polarized by an external electric field Eext EE2011: Engineering Electromagnetics Electromagnetics Dielectrics • Dielectrics: Continues For most conductors, Prof Joshua Le-Wei Li, EM Research Group Prof r 14 1; in free space, r =1 EE2011: Engineering Electromagnetics Electromagnetics Electric Boundary Conditions • Boundary Conditions - I – The tangential component of the electric field is continuous across the boundary between any two media E dl C b a E 2 dl d c E1t E1 dl 0 where E1 E2t , (V/m) or D1t 1 Prof Joshua Le-Wei Li, EM Research Group Prof 15 E1n ; E 2 E1t D2t E 2t E2n . . 2 EE2011: Engineering Electromagnetics Electromagnetics Electric Boundary Conditions • Boundary Conditions - II – The normal component of D changes abruptly at a charged boundary between two different media, and the amount of charge is equal to the surface charge density. ˆ ˆ D ds D1 n 2 ds D 2 n1ds s s. S ˆ n 2 D1 D 2 top s or D1n Prof Joshua Le-Wei Li, EM Research Group Prof bottom D2 n 16 s or 1 E1n 2 E2 n s . EE2011: Engineering Electromagnetics Electromagnetics Electric Boundary Conditions • Boundary Conditions - III E dl E0 0. D S C Prof Joshua Le-Wei Li, EM Research Group Prof D ds Q. s 17 EE2011: Engineering Electromagnetics Electromagnetics Electric Boundary Conditions • Example 6 Prof Joshua Le-Wei Li, EM Research Group Prof 18 EE2011: Engineering Electromagnetics Electromagnetics Electric Boundary Conditions • Example 7 Prof Joshua Le-Wei Li, EM Research Group Prof 19 EE2011: Engineering Electromagnetics Electromagnetics Electric Boundary Conditions • Dielectric-Conductor Boundary – The electric field lines point directly away from the conductor surface when s is positive and directly toward the conductor surface when s is negative. – E is always normal to the surface at the conductor boundary. E1t D1 D1t E1 1 0, D1n ˆ n s 1 E1n...
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This document was uploaded on 02/18/2014 for the course EE 2011 at National University of Singapore.

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