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LECT2_153155

# LECT2_153155 - Electric Force e e e e 4e A collection of 4...

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Electric Force k e q 1 q 2 Coulomb’s Law: F e = r 2 Given two objects with charges q 1 & q 2 : Coulomb constant k e = 8.9875 x 10 9 N m 2 / C 2 +e +e +e +e +4e …equivalent to “a charge” with +4e A collection of 4 charges, each with +1e…

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Superposition Use superposition (vector addition) to find net force! +q1 +q2 +q3 F net = F 12 + F 23
Superposition Example of superposition: One e surrounded by a hexagon of protons, all held fixed: What’s the net electrostatic force on the e ? +1e +1e +1e +1e +1e +1e -1e F 1 F 6 F 5 F 4 F 3 F 2

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Superposition Example of superposition: One e surrounded by a hexagon of protons, all held fixed: What’s the net electrostatic force on the e ? +1e +1e F 1 + F 4 = 0 F 2 + F 5 = 0 F 3 + F 6 = 0 Total F = 0! +1e +1e +1e +1e -1e F 1 F 6 F 5 F 4 F 3 F 2
Superposition You have two charges (+4e and -1e) in a line, separated by distance r 0 . Where along the line is the net force on a charge of +1e zero? +4e -1e +1e r 0 x F 13 = F 23 k e (q 1 )(q 3 ) k e (q 2 )(q 3 ) = (r 0 + x) 2 x 2 k e (+4e)(+1e) k e (-1e)(+1e) = (r 0 + x) 2 x 2 4x 2 = (r 0 + x) 2 2x = (r 0 + x) x = r 0

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Electric vs. Gravitational Forces
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LECT2_153155 - Electric Force e e e e 4e A collection of 4...

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