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101. Electric Potential Energy of Two Point Charges

# 101. Electric Potential Energy of Two Point Charges - q 3 r...

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Electric Potential Energy of Two Point Charges Consider two different perspectives: #1a Electric potential when q 1 is placed: V ( ~ r 2 ) . = V 2 = k q 1 r 12 Electric potential energy when q 2 is placed into potential V 2 : U = q 2 V 2 = k q 1 q 2 r 12 #1b Electric potential when q 2 is placed: V ( ~ r 1 ) . = V 1 = k q 2 r 12 Electric potential energy when q 1 is placed into potential V 1 : U = q 1 V 1 = k q 1 q 2 r 12 . #2 Electric potential energy of q 1 and q 2 : U = 1 2 2 X i =1 q i V i , where V 1 = k q 2 r 12 , V 2 = k q 1 r 12 . 2 x z y q 2 r 12 q 1 1 r r tsl101 – p.1/2

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Electric Potential Energy of Three Point Charges #1 Place q 1 , then q 2 , then q 3 , and add all changes in potential energy: U = 0 + k q 1 q 2 r 12 + k q 1 q 3 r 13 + q 2 q
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Unformatted text preview: q 3 r 23 Â« = k â€ž q 1 q 2 r 12 + q 1 q 3 r 13 + q 2 q 3 r 23 Â« . #2 Symmetric expression of potential energy U in terms of the potentials V i experienced by point charges q 1 : U = 1 2 3 X i =1 q i V i = k â€ž q 1 q 2 r 12 + q 1 q 3 r 13 + q 2 q 3 r 23 Â« , where V 1 = k â€ž q 2 r 12 + q 3 r 13 Â« , V 2 = k â€ž q 1 r 12 + q 3 r 23 Â« , V 3 = k â€ž q 1 r 13 + q 2 r 23 Â« . q 2 r 12 q 1 z q 3 r 23 r 13 y tsl102 â€“ p.2/2...
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