Lecture 11 - Equipotentials

Lecture 11 - Equipotentials - 1 Lecture 11 More Example of...

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Unformatted text preview: 1 Lecture 11 More Example of Electric More Example of Electric Potential. Equipotentials. Lightning rods and why you lose your radio station inside tunnels. Example: Getting the electric field from the electric potential E V We saw last time that 2 2 ( , , ) 2 5 4 V x y z x xz y z Example: Find the electric field for 2 5 2 ( 4 ) E x z i j x z k 2 2 x V E x z x 5 y V E y 2 8 z V E x z z 30 V 20 V 10 V E Equipotentials Equipotentials for a positive point charge Topographic map of Mt. Fuji 30 V 20 V 10 V V 2D mapping of potential: E Equipotentials for a positive point charge x y E 2 X A X B Take two points A and B on an equipotential surface For any path between A and B on the surface, A B B A V V E d l The electric field is always perpendicular to equipotential surfaces must be perpendicular to E dl 2500-1000-500-250 500 250 1000 The figure below looks (more or less) like the equipotentials of: A. Two identical 100-100 ACT: Equipotentials-2500 2500 It is actually an electric fish! charges B. A dipole C. Two charges of equal sign but different magnitude-250 250 The electric field points in the direction of decreasing potential and is perpendicular to the equipotential surfaces:-2500-1000-500 500 1000 2500 + Black ghost knife fish...
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This note was uploaded on 09/21/2011 for the course PHYS 222 taught by Professor Johnson during the Spring '07 term at Iowa State.

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Lecture 11 - Equipotentials - 1 Lecture 11 More Example of...

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