718_Physics ProblemsTechnical Physics

718_Physics ProblemsTechnical Physics - 58 Electric...

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58 Electric Potential P25.21 Uq Vq q r q r q r e =++= F H G I K J ++ F H G I K J 41 42 43 4 0 1 1 2 2 3 3 1 4 π U U e e × + + + F H G G I K J J = 10 0 10 8 99 10 1 0600 1 0150 1 0 600 0 150 895 6 2 9 22 .. . C N m C m m m J ej e j af P25.22 (a) V kq r r r ee e =+= F H G I K J 1 1 2 2 2 V V = ×⋅ × + F H G G I K J J = 2 8 99 10 2 00 10 100 0500 322 10 322 96 4 Nm C C m V k V e j a f a f FIG. P25.22 (b) V = = −× × = −− 3 00 10 3 22 10 9 65 10 64 2 . J C J P25.23 UU U U U UU U U U U kQ s s s U s s e =+++ =+ + + + + + + + F H G I K J + F H G I K J F H G I K J = 1234 12 13 23 14 24 34 2 0 0 1 2 11 1 2 1 4 2 2 541 bg b g . FIG. P25.23 An alternate way to get the term 4 2 2 + F H G I K J is to recognize that there are 4 side pairs and 2 face diagonal pairs. P25.24 Each charge creates equal potential at the center. The total potential is: V R R e e = L N M M O Q P P =− 5 5 . P25.25 (a) Each charge separately creates positive potential everywhere. The total potential produced
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