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08 - Potential I

# 08 - Potential I - Physics 212 Fall 2009 Work and Energy...

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Physics 212 - Fall 2009 9/09/2009

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Work and Energy Gravitational Field - Conservative Field W = F d = mg ( h B h A ) Δ U = U B U A = mg ( h B h A ) W = −Δ U initial final Work is path independent - only depends on the endpoints Work “by the field” decreases the potential energy
Work on a Charge Electrostatic Field - Conservative Field d W = F d = q 0 Ed W = U f U i Just like the gravitational force, the electrostatic force moves the charge to a lower potential energy W = −Δ U Work is path independent - only depends on the endpoints

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Conservative Force Why is the electrostatic force considered a conservative force? a) Charged particles do not experience friction, which is a non-conservative force. b) The energy required to move a charged particle around a closed path is equal to zero joules. c) The work required to move a charged particle from one point to another does not depend upon the path taken. d) Answers (a) and (b) are both correct. e) Answers (b) and (c) are both correct.
Sign Matters W = F d = q e Ed cos(180) W = U f U i Switch from positive to negative charge introduces two sign changes:

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