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# Class Note for ECE 6340 with Professor Jackson at UH

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COURSE
PROF.
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TYPE
Class Notes
PAGES
17
WORDS
KARMA
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This 17 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 13 views.

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Date Created: 02/06/15
Types of Current pV Note the free charge Ji I R J0 density pv will be zero for perfect insulators 139 l impressed current 16 conduction ohmic current 10 0v 3 Linear medium J0 0E Ohm s law Note the electric field is set up in response to the impressed sources Types of Current Ampere s law Vx ijw8 Vx iia ng source conduction displacement Effective Permittivity Vx ng 0Eng 139 139 IK IK IK 039ja8 1ijwgijg ja Effective Permittivity cont This quoteffectivequot permittivity accounts for the conductivity Define Ampere s law becomes Vx jwscg Ampere s law thus becomes in the same form as for free space Vx zfngo Effective Permittivity cont Note ac is usually called 8 for simplicity However be careful QampE fa Q QE Effective Permittivity Principle This allows us to solve a problem involving a homogeneous material as long as we know how to solve the corresponding freespace problem V X E 2 ii a 5390 E freespace problem 1 V X E 2 ii 0 EC E material problem The formulas for the fields remains the same we simply make this simple substitution Example Example A dipole is embedded in an infinite medium of ocean water What is the far field of the dipole First examine problem in free space Example cont Dipole in free space 10 Example cont 11 Loss Tangent O39 8028 a r rr Write this as EC 2 8 8 Note The loss tangent combines losses from atomic and molecular friction together with loss from conductivity 039 1 m8a R68 839R68 tan5 aquot Img SIC 12 Polarization Current Vx ziingc fa jmg ii 0 jw80 ja8 80 I I I I Source Conduction Freespace Polarization Jc displacement JP 03 0V 0 If at 13 Polarization Current cont Model of polarization current Nd dipoles per unit volume x q V 0 0 o 9 0 9 As the electric field changes we 9 9 imagine that the position x of the 0 0 0 electron changes with the nucleus 0 0 0 being stationary 0 0 O 93 61xNd X m 61Ndv 0 dx X N N dt d dt dqv d9 Hence Xi x 14 Polarization Current cont dt In general WE Timeharmonic steady state 1p 2 Jag JowEOXeE Jowgo 8r 1E Joa880E 15 Polarization Current cont x ff r 5 11 z If magnetic material IS present Vxi Ijwscz H0 I0Ejwa I0Ejwao jwa 80E Vxi1i 0Ejwao jm5 go Vx 0 polarization current from polarization current from dielectric properties magnetic properties 16 Equivalent Current 80 I eczg jg body a nonmagnetic body Inside body Vx jwecg ngo jw8c80 17 Equivalent Current cont Vx zngo i39ieq Interpretation I The body is replaced by its equivalent current in free space ECE 6340 Intermediate EM Waves Fall 2008 Prof David R Jackson Dept of ECE Notes 3

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