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Unformatted text preview: Engineering ElectroMagnetics Engineering ElectroMagnetics ECE305, Lecture 14 Dennis McCaughey, Ph.D. 16 March 2010 03/16/2010 Dennis McCaughey, ECE305, Spring 2010 2 Homework Homework 8.17 8.24 8.29 due Tues March 23 03/16/2010 Dennis McCaughey, ECE305, Spring 2010 3 Chapter 8: The Steady Magnetic Field Chapter 8: The Steady Magnetic Field Summary Of Maxwells Equations for static fields is the magnetic field intensity in v s vol s s d Q dv d Amps d I d meter d = = = = = = D S E L H L J S H B S 03/16/2010 Dennis McCaughey, ECE305, Spring 2010 4 BiotSavart Law (Differential Form) BiotSavart Law (Differential Form) Can not be measured physically Righthand rule: Magnetic vector points into the paper Units of Amperes per Meter Inverse square law in distance At this point in our development we are dealing with DC currents Reminiscent of Coulombs Law 12 1 2 2 12 4 R dQ a d R = E The BiotSavart law expresses the magnetic field intensity d H 2 produced by a differential current element I 1 d L 1 . The direction of d H is into the page 03/16/2010 Dennis McCaughey, ECE305, Spring 2010 5 BiotSavart Law (Integral form) BiotSavart Law (Integral form) 2 1) 2) 3) 4) 4 v s r t d Id a r =  = = = J J J S L H 1) Continuity equation 2) Restricting our discussion to DC currents only 3) From the divergence theorem. The total current crossing any closed surface is zero Condition may be satisfied only by assuming a currrent flowing around a closed path It is this current flowing in a closed surface which must be our experimental source, not the differential element 4) BiotSavart Law (Integral Form) 03/16/2010...
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This note was uploaded on 09/13/2011 for the course ECE 305 taught by Professor Staff during the Spring '08 term at George Mason.
 Spring '08
 Staff
 Direct Current, Electromagnet

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