Lecture 5-6 Ch24

Lecture 5-6 Ch24 - PH 222-3A Spring 2007 Electric Potential...

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PH 222-3A Spring 2007 lectric Potential Electric Potential Lectures 5-6 Chapter 24 (Halliday/Resnick/Walker, Fundamentals of Physics 8 th edition) 1
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Chapter 24 Electric Potential In this chapter we will define the electric potential ( symbol V ) associated with the electric force and accomplish the following tasks: alculate we know the corresponding electric field. Calculate V if we know the corresponding electric field. Calculate the electric field if we know the corresponding potential V. Determine the potential V generated by a point charge. etermine the potential enerated by a discrete charge distribution Determine the potential V generated by a discrete charge distribution. Determine the potential V generated by a continuous charge distribution. Determine the electric potential energy U of a system of charges. Define the notion of an equipotential surface. Explore the geometric relationship between equipotential surfaces and lectric field lines. eec c ed es . Explore the potential of a charged isolated conductor. 2
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In Chapter 8 we defined the Electric Potential Energy change in potential () f x x UF x d x Δ= O x . . . x i x x f F ( x ) Ca pe8w ed e e d e associated with a conservative force as the negative value of the work that the force U W Δ cg e p o e energy i must do on a particle to take it from an initial position to a final position . f if x xx 0 Consider an electric charge moving i fi x UU U W F x d x q Δ = =− 0 f i Uq E d s G G A from an initial position at point to a final position at point under the inf A B luence of a own electric field The force exerte G B 0 known electric field . The force exerted on the charge is . ff E Fq E F ds q E ds = G G G G GG 0 ii U Δ ∫∫ 3
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0 The change in potential energy of a charge q The Electric Potential V P P VE d s =− G G A moving under the influence of from point A to point is: . f i E B UU U W q Ed s Δ = G G G B 0 Please note that depends on the val fi i U Δ 0 ue of . q We define the in such a manner so that it is independent electric potential V 0 00 of : Here . In all physical problems only changes in are involved. Thus w f i UW qV V V V V V E d s qq V Δ Δ= = = G G 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 with potential : f P V VV P V == The pote . P P Vs G G ntial depends only on the coordinates of and on . P VP E G 4
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0 Definition of voltage : W V q Δ= SI Units of : V 0 1 4 P q V R πε = Units of : onsider a point charge placed at the o gin We J/C i , known as the volt use V Potential Due to a Point Cha e rg Consider a point charge placed at the origin. We will use the defini q P tion given on the previous page to determine the potential at point a distance from .
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Lecture 5-6 Ch24 - PH 222-3A Spring 2007 Electric Potential...

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