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1-15-08Lec03 - Lecture 3-1 Electric Dipoles Typical dipole...

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Lecture 3-1 Electric Dipoles • Typical dipole consists of positive and negative charges slightly displaced. • General definition of dipole moments exists: ( ) 3 ( ) p r rd r ρ = combarrowextenderharpoonrightnosp harpoonrightnosp • Water molecule can be thought of as consisting of 2 standard dipoles at an angle to each other. boxshadowdwn Net neutral molecules can have electrical dipole moments boxshadowdwn Permanent dipole moment (polar) vs. induced dipole moment
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Lecture 3-2 Electric Field due to an Electric Dipole ( ) ( ) 2 2 2 2 2 2 2 2 3 ( / 2) ( / 2) (1 ) (1 ) 2 2 (1 ...) (1 ...) 2 2 [1 ( )] ... E E E q q k k z d z d q d d k z z z q d d k z z z kq d d k O z z p z z + = = + = − + = + + − − +   = + = +     At point P on z-axis: Where is the (magnitude of) dipole moment. p qd
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Lecture 3-3 Dipole Field Anisotropy ( ) ( ) 2 2 2 2 3/ 2 2 3/ 2 3 2 2 3 2 3 2 sin ( / 2) 2 [ ( / 2) ] 2 (1 ) 4 3 (1 ...) 8 ... z E E E q k y d q d k y d qd d k y y qd k p d y y k y θ + = + =− + =− + =− + =− + =− + At point P on y-axis: y z Dipole Field at General Point P: ɵɵ 3 3( ) ...
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