Chapter 25 - Chapter 25 Electric Potential In this chapter...

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A B O x . . . x i x x f F ( x ) In Chapter 10 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 0 e it from an initial position to a final position . ( ) Consider an electric charge moving from an initial position at point to a final position at point under the in f i i f x f i x x x U U U W F x dx q A B     0 0 fluence of a known electric field . The force exerted on the charge is . f f i i E F q E U F ds q E ds     r r r r r r r ( ) f i x x U F x dx   0 f i U q E ds   r r
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A B 0 0 The change in potential energy of a charge moving under the influence of from point A to point is: . Please note that depends on the val f f i i q E B U U U W q E ds U     The Electric Potential r r r V 0 ue of . q 0 0 0 We define the in such a manner so that it is independent of : Here . In all physical problems only changes in are involved. Thus w f f i f i i U W q V V V V V V E ds q q V     electric potential r r 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 with potential : The pote . f P P P V V V P V s V E d   r r ntial depends only on the coordinates of and on . P V P E r
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O P Consider a point charge placed at the origin. We will use the definition given on the previous page to determine the potential at point a distance from . P q V P R O V E   Potential Due to a Point Charge r 2 0 0 2 2 0 0 cos0 The electric field generated by is: 4 1 4 1 1 4 4 R R R P R P R ds Edr E dx x dr q q E r q dr V r q q V r R x  r 0 1 4 q V R
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0 Electric Potential due to a point charge q : Definition of voltage : Units of : J/C, known as the volt is a scalar quantity.
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Chapter 25 - Chapter 25 Electric Potential In this chapter...

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