Lecture 4

Lecture 4 - El Electrostatics Superposition Gausss Law...

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Electrostatics uperposition Superposition Gauss’s Law
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Electric charge force electric field
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Coulomb 1736-1806
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Coulomb's law 2 1 Q Q r u F 2 4 r o πε +Q +Q -Q +Q 12 10 854 . 8 × = ε t farads 10 6 1 9 × o 9 meter π 36 Coulombs 10 602 . 1 Q 19 ± × ±
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Example: Charged Dust rains Grains Coulombs 10 602 . 1 10 Q 19 4 × × m 10 mm 1 r 3 = 2 1 Q Q F = ( ) 2 15 10 602 . 1 × = 2 o r 4 πε ( ) 2 3 9 10 10 4 π 36 5 ( ) Newtons 10 602 . 1 9 15 2 × × =
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History Thales of Miletus 624 547 BC ber rod picked up “fluff and stuff” amber rod picked up fluff and stuff “elektron” in Greek “elektrum” in Hebrew ekiel 1:27 Ezekiel 1:27
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Superposition of forces y 6 vectors 3 x 0 3 06
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2 1 Q Q y 6 r u F 2 o r 4 πε = 4 3 Q Q y x g r u u + 3 5 5 4 2 o F = x 3 0 0 6 4 3 Q Q y x g r u u + + 5 5 4 2 o note symmetry 8 Q Q u 5 5 4 y 2 o g r πε =
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y 6 2 1 Q Q 3 r u F 2 o r 4 πε = y x g r 5 2 Q Q + = u u F x 3 0 0 6 ( ) 2 2 2 o 5 2 29 4 + 2 2 y x 2 g r 5 4 1 Q Q + + u u ( ) o 5 4 41 4 +
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Electric Field ewtons 1 F E r u 2 1 Q = Coulomb Newtons 2 Q o r 4 πε
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This note was uploaded on 02/04/2010 for the course EEGR 304 taught by Professor Craigscott during the Spring '08 term at Morgan.

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Lecture 4 - El Electrostatics Superposition Gausss Law...

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