# Lecture_06_-_no_quiz_answers - Lecture 6 1/16 Electric...

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Lecture 6 1/16 b a a b l d E q U V V V 0 Electric Potential U(r) of test charge q 0 in electric field generated by other source charges is proportional to q 0 So U(r)/q 0 is independent of q 0 which allows us to introduce electric potential (V) independent of q 0 0 0 ) ( ) ( ) ( ) ( q r U r V q r U r V taking the same reference point unit of electric potential is volt 1 V = 1 J/C

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Lecture 6 2/16 Electric Potential Energy and Electric Potential E points in the direction that V decreases most rapidly r q k r V ) ( negative charge High U Low U positive charge High U (potential energy) Low U High V (potential) Low V Electric field direction High V Low V Electric field direction
Lecture 6 3/16 Potential of Uniformly Infinite Plane of Charge What do we use as the reference point? can’t use infinity since plane is infinite b a l d E V x k x V dx l d E V x P A 2 2 2 0 0 0 P x A equipotential surface since V is constant σ Take a reference point at A Or take it at some other point so V(0) = V 0 0 2 V x k V

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Lecture 6 4/16 Potential of Uniformly Charged Spherical Shell Electric Field (using Gauss’s Law)
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Lecture_06_-_no_quiz_answers - Lecture 6 1/16 Electric...

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