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732_Physics ProblemsTechnical Physics

# 732_Physics ProblemsTechnical Physics - 72 Electric...

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72 Electric Potential P25.66 (a) From Gauss’s law, E A = 0 (no charge within) E k q r r r E k q q r r r B e A C e A B = = × × = F H G I K J = + = × × = F H G I K J 2 9 8 2 2 9 9 2 2 8 99 10 1 00 10 89 9 8 99 10 5 00 10 45 0 . . . . . . e j e j b g e j e j V m V m (b) V k q q r r r C e A B = + = × × = F H G I K J b g e j e j 8 99 10 5 00 10 45 0 9 9 . . . V At r 2 , V = − = − 45 0 0 300 150 . . V Inside r 2 , V r dr r r B r r = − + = − + F H G I K J = + F H G I K J z 150 89 9 150 89 9 1 1 0 300 450 89 9 2 2 V V . . . . At r 1 , V = − + = + 450 89 9 0 150 150 . . V so V A = + 150 V . P25.67 From Example 25.5, the potential at the center of the ring is V k Q R i e = and the potential at an infinite distance from the ring is V f = 0 . Thus, the initial and final potential energies of the point
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