09 - Potential II

# 09 - Potential II - Physics 212 Fall 2009 Electric...

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Physics 212 - Fall 2009 Electric Potential II 9/11/2009

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Electric Potential Review Electric Potential (V) - charge independent Units - Volts Δ V = Δ U q V f V i = W q Equipotentials Get collection of surfaces of “equal potential” No work by field when moving along the surface Equipotentials are always perpendicular to field lines
Potential/Work Arbitrary Field dW = F d s = q 0 E d s W = dW = q 0 E d s i f Compute the work along the path Δ V = W q 0 V f V i = E d s i f V = E d s f

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Point Charge Compute the work along a radial path from P to infinity V = E d s R E d s = | E || ds |cos( θ ) | ds | = d r θ = 0 ° V f V i = Edr R E = k q r 2 0 V = kq 1 r 2 dr = kq 1 r R R = kq 1 1 R = k q R V = k q r In general
Sign and Multiple Charges The net potential at a point due to multiple charges is the sum of all individual potential contributions V = V i i = k q i r i i Potential can be positive or negative - depending on the sign of the charge

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