10:12.pdf

10:12.pdf - Electric Potential Energy Lecture 8 Demo… •...

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Electric Potential Energy Lecture 8.

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Demo… Dielectric break down.
Electric Potential Energy Electro static forces is conservative : The work performed by the electric field on a charge is path independent. Proof: Show for a point charge. Use superposition of point charges to represent arbitrary charge distribution.

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Electric Potential Energy Show for a point charge… Work done by field on charge: (… on board …) Result: 1 2 dW = ~ F · d ~ ` Δ W = W 1 ! 2 W 2 - W 1 = - qQ 4 ⇡✏ 0 1 r 2 - 1 r 1 Q Q
Electric Potential Energy Define the change is Electric Potential Energy as Electric Potential Energy difference: Δ U = U 1 ! 2 U 2 - U 1 = - W 1 ! 2 Δ U = U 1 ! 2 U 2 - U 1 = qQ 4 ⇡✏ 0 1 r 2 - 1 r 1

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Electric Potential Energy Define Electric Potential Energy as follows: relative to a point at . (Finite charge dist.) Superposition applies: Potential energy of a charge distribution = energy required to assemble from .
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• Fall '09

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