# Lec05 - Lecture 5-1 Electric Field of a Uniformly Charged...

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Unformatted text preview: Lecture 5-1 Electric Field of a Uniformly Charged Sphere Apply Gauss’s Law directly or use superposition of the shell results Lecture 5-2 Infinitely long uniformly charged line ( ) ( ) ( ) 2 E endcaps side side E rh π Φ =Φ +Φ =Φ = ⋅ r h Gauss’s Law: E h λ ε Φ = 2 2 k E r r λ λ π ε = = Same result but much less work! E Lecture 5-3 Uniformly charged thin, infinite sheet σ A h Gauss’s Law! ( ) ( ) ( ) 2 E endcaps side endcaps EA Φ =Φ +Φ =Φ =⋅ enc Q A σ ε ε = 2 E σ ε = If E=0 on one side, then what is E between the plates? Lecture 5-4 Uniformly charged thin shell: Inside •By symmetry, the electric field must only depend on r and is along a radial line everywhere. •Apply Gauss’s law to the blue surface , we get E = 0 . E = 0 inside Discontinuity in E • Equal and opposite contributions from charges on diagonally opposite surface elements. Lecture 5-5 Thin sheet of any charge distribution ' R disk E E E + = + ca ca ca ' L disk E E E- = + ca ca ca Just to left of disk...
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## This note was uploaded on 04/27/2008 for the course PHYS 241 taught by Professor Wei during the Spring '08 term at Purdue.

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Lec05 - Lecture 5-1 Electric Field of a Uniformly Charged...

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