# Lecture10 - PHYS 272 Matter and Interactions II Electric And Magnetic Interactions http/www.physics.purdue.edu/academic_programs/courses/phys272

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Fall 2010 Prof. Yong Chen ( [email protected] ) Prof. Michael Manfra ( [email protected] ) Lecture 10 Slide 1 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ PHYSICS 272 Electric & Magnetic Interactions Lecture 10 Electric Potentials [EMI 17.8-17.9] Magnetic Field [EMI 18.1-18.5] Announcement Final Exam Schedule Posted: 12/16, 10:20am-12:20pm @ STEW 183

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Fall 2010 Prof. Yong Chen ( [email protected] ) Prof. Michael Manfra ( [email protected] ) Lecture 10 Slide 2 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ Method 1. Add up the contribution of all point charges at this point V A 1 4  0 q i r i i q 1 r 1 q 2 r 2 A Method 2. Travel along a path from point very far away to the location of interest and add up at each step: q 1 q 2 A E dl Potential at a Certain Location A A l d E V l d E 0 ) ( V
Fall 2010 Prof. Yong Chen ( [email protected] ) Prof. Michael Manfra ( [email protected] ) Lecture 10 Slide 3 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ Method 1. Subtract the potential at the initial location A from the potential at final location B V V B V A Method 2. Travel along a path from A to B adding up at each step: l d E A B A B E dl Finding Potential Difference B A A B l d E V V V

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Fall 2010 Prof. Yong Chen ( [email protected] ) Prof. Michael Manfra ( [email protected] ) Lecture 10 Slide 4 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ Electric field in capacitor filled with insulator: E net = E plates -E dipoles E net E plates K E plates Q / A 0 E net Q / A K 0 K – dielectric constant Dielectric Constant
Fall 2010 Prof. Yong Chen ( [email protected] ) Prof. Michael Manfra ( [email protected] ) Lecture 10 Slide 5 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ B A l d E V s K E Es V plates s E plates Q / A 0 V Es Q / A K 0 s K V V vacuum insulator Potential Difference in a Capacitor with Insulator

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Fall 2010 Prof. Yong Chen ( [email protected] ) Prof. Michael Manfra ( [email protected] ) Lecture 10 Slide 6 PHYS 272: Matter and Interactions II -- Electric And Magnetic Interactions http://www.physics.purdue.edu/academic_programs/courses/phys272/ +Q -Q s B A l d E V d K insulator vacuum V V V Potential Difference in Partially Filled Capacitor B A x E plates   ( Q / A ) 0 ˆ x V vacuum ( Q / A ) 0 ( s d ) V insulator ( Q / A ) K 0 d V ( Q / A ) 0 [ s d (1 1/ K )] K 0 d Check special cases:
Fall 2010 Prof. Yong Chen ( [email protected] ) Prof. Michael Manfra ( [email protected] ) Lecture 10

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## This note was uploaded on 02/02/2012 for the course STAT stat512 taught by Professor Libo during the Spring '11 term at Purdue North Central.

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Lecture10 - PHYS 272 Matter and Interactions II Electric And Magnetic Interactions http/www.physics.purdue.edu/academic_programs/courses/phys272

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