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Lecture 5 02-02-10 - Lecture 5 February 2 2010 Electric...

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Lecture 5 February 2, 2010 Electric Potential
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A metal ball and a concentric conducting metal shall each holds total charge +Q. What is the total charge on the outer surface of the metal shall? 1 2 3 4 5 0% 0% 0% 0% 0% 1. 0 2. -Q 3. -2Q 4. Q 5. +2Q
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A B O x . . . x i x x f F(x) In chapter 8 we defined the associated with a conservative force as the negative value of the work that the force must do on a particle to tak U W Electric Potential Energy : change in potential energy e it from an initial position to a final position . ( ) Consider an electric charge moving from an initial position at point A to a final position at point B under the i f i i f x f i x o x x U U U W F x dx q nfluence of a known electric field . The force exerted on the charge is: o f f o i i E F q E U F ds q E ds ( ) f i x x U F x dx f o i U q E ds
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A B We define the in such a manner so that is is independent of : Here In all physical problems only changes in are involved. Thus w f o f i f i o o i U W q V V V V V V E ds q q V electric potential V e can define arbitrarily the value of at a reference point which we choose to be at infinity. 0 We take the initial position as the generic point P with potential The poten f P P P V E d V s V V V tial depends only on the coordinates of P and on P V E P P V E ds Electric Potential V
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