02/05/2014PHY 712 Spring 2014 -- Lecture 91 PHY 712 Electrodynamics 11-11:50 AM MWF Olin 107 Plan for Lecture 9: Continue reading Chapter 4 Dipolar fields.

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Presentation transcript:

02/05/2014PHY 712 Spring Lecture 91 PHY 712 Electrodynamics 11-11:50 AM MWF Olin 107 Plan for Lecture 9: Continue reading Chapter 4 Dipolar fields and dielectrics A.Electric field due to a dipole B.Electric polarization P C.Electric displacement D and dielectric functions

02/05/2014PHY 712 Spring Lecture 92

02/05/2014PHY 712 Spring Lecture 93

02/05/2014PHY 712 Spring Lecture 94

02/05/2014PHY 712 Spring Lecture 95 General results for a multipole analysis of the electrostatic potential due to an isolated charge distribution:

02/05/2014PHY 712 Spring Lecture 96 Notion of multipole moment:

02/05/2014PHY 712 Spring Lecture 97 General form of electrostatic potential in terms of multipole moments:

02/05/2014PHY 712 Spring Lecture 98 Focus on dipolar contributions:

02/05/2014PHY 712 Spring Lecture 99 Coarse grain representation of macroscopic distribution of dipoles:

02/05/2014PHY 712 Spring Lecture 910 Coarse grain representation of macroscopic distribution of dipoles -- continued:

02/05/2014PHY 712 Spring Lecture 911 Coarse grain representation of macroscopic distribution of dipoles -- continued:

02/05/2014PHY 712 Spring Lecture 912 Coarse grain representation of macroscopic distribution of dipoles -- continued: Boundary value problems in the presence of dielectrics

02/05/2014PHY 712 Spring Lecture 913 Boundary value problems in the presence of dielectrics – example: a   z E0E0 E 

02/05/2014PHY 712 Spring Lecture 914 Boundary value problems in the presence of dielectrics – example -- continued:

02/05/2014PHY 712 Spring Lecture 915 Boundary value problems in the presence of dielectrics – example -- continued: Ea r/a   