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**Unformatted text preview: **Chapter 23 Electric Potential- Electric Potential Energy- Electric Potential and its Calculation- Equipotential surfaces- Potential Gradient 0. Review The work done raising a basketball against gravity depends only on the potential energy, how high the ball goes. It does not depend on other motions. A point charge moving in a field exhibits similar behavior. = = b a b a b a dl F l d F W cos a a Work:- If the force is conservative: Potential energy Work-Energy: b b a a U K U K + = + U U U U U W a b b a b a - =-- =- = ) ( Electric Potential Energy in a Uniform Field:- When a charged particle moves in an electric field, the field exerts a force that can do work on the particle. The work can be expressed in terms of electric potential energy. - Electric potential energy depends only on the position of the charged particle in the electric field. 1. Electric Potential Energy Ed q d F W b a = = Electric field due to a static charge distribution generates a conservative force: y E q U U W b a = - = - Test charge moving from height y a to y b : ) ( ) ( b a a b b a y y E q U U U W- =-- = - = Independently of whether the test charge is (+) or (-):- U increases if q moves in direction opposite to electric force.- U decreases if q moves in same direction as F = q E. Electric Potential Energy of Two Point Charges: A test charge (q ) will move directly away from a like charge q. - = = = b a r r r r r b a r r qq dr r qq dr F W b a b a 1 1 4 4 1 2 The work done on q by electric field does not depend on path taken, but only on distances r a and r b (initial and end points)....

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