Potential and Potential Energy

# Potential and Potential Energy - Physics 202 Thursday,...

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Physics 202 Thursday, February 11, 1999 Announcements: none Lecture notes: Potential and Potential Energy Let us consider the case of a test charge, q o , in an electrostatic field E. F = q o E Work done by the electrostatic force on the test charge for a displacement, ds, is dW = F (dot product) ds = q o E (dot product) ds = - dU o dU = - q o E (dot product) ds o U = U f - U i = -q o I( Integral from i to f) E (dot product) ds o i and f mean initial and final position The above expression for the change in potential energy is true also for the case when the electric field is not constant; the integral can be evaluated of we know the relation of E to s. Since q o E is a conservative force, W, U is independent of the path taken from point i to f

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If the charge q o is brought through a closed loop ( from i to f back to i), then the change in potential energy is equal to zero; the net work done is also zero. The electric potential difference, V
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## This note was uploaded on 02/21/2008 for the course PHYS 212 taught by Professor Mahlon,gregoryda during the Spring '07 term at Penn State.

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Potential and Potential Energy - Physics 202 Thursday,...

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