ECE-305-Lecture11

ECE-305-Lecture11 - Engineering Electro-Magnetics...

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Unformatted text preview: Engineering Electro-Magnetics Engineering Electro-Magnetics ECE-305, Lecture 11 Dennis McCaughey, Ph.D. 4 March, 2010 03/04/2010 Dennis McCaughey, ECE305, Fall 2009 2 Homework Homework Problems 6.4 6.6 6.7 and 6.11 Due March 23 03/04/2010 Dennis McCaughey, ECE305, Fall 2009 3 Charges Charges Bound Charges Bound in place by atomic and molecular forces and can only shift slightly in response to external fields Free Charges Those free to move and contribute to a current 03/04/2010 Dennis McCaughey, ECE305, Fall 2009 4 Chapter 6: Dielectric Materials Chapter 6: Dielectric Materials Dielectrics become polarized in an electric field Flux density D is greater than it would be in free space Simplified theory: Treat an atom of the dielectric as two superimposed positive and negative charge regions (a) Positive charge moves to the right under the influence of E Negative charge moves in the opposite direction Displacement can be represented by an electric dipole moment p=Qd + +- E (a) (b)- + d E Q (c) 03/04/2010 Dennis McCaughey, ECE305, Fall 2009 5 Polarization Polarization Total 1 A region of a polarized dielectric will contain dipole moments is defined as the dipole moment per unit volume If the dipoles are alligned in the same d n v i i v N = = p p p p Total Total irection, may have a significant value However, a random orientation may cause to be essentialy zero Define the polarization as the dipole moment per unit volume p p P 2 1 1 lim / n v i v i coulombs m v = = P p 03/04/2010 Dennis McCaughey, ECE305, Fall 2009 6 Polarization and flux density Polarization and flux density the bound charge tied to the atoms...
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ECE-305-Lecture11 - Engineering Electro-Magnetics...

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