683_Physics ProblemsTechnical Physics

# 683_Physics ProblemsTechnical Physics - 23 Chapter 23...

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Chapter 23 23 P23.62 At equilibrium, the distance between the charges is r = °= × 2 0 100 10 0 3 47 10 2 . sin . . m m b g Now consider the forces on the sphere with charge + q , and use F y = 0 : F y = 0 : T mg cos . 10 0 °= , or T mg = ° cos . 10 0 (1) F x = 0 : F F F T net = = ° 2 1 10 0 sin . (2) F net is the net electrical force on the charged sphere. Eliminate T from (2) by use of (1). F mg mg net 2 kg m s N = ° ° = °= × °= × sin . cos . tan . . . tan . . 10 0 10 0 10 0 2 00 10 9 80 10 0 3 46 10 3 3 e je j F net is the resultant of two forces, F 1 and F 2 . F 1 is the attractive force on + q exerted by q , and F 2 is the force exerted on + q by the external electric field. r L +q –q θ θ FIG. P23.62 F F F net = 2 1 or F F F 2 1 = + net F 1 9 8 8 3 2 2 8 99 10 5 00 10 5 00 10 3 47 10 1 87 10 = × × × × = × . . . . . N m C C C m N 2 2 e j e je j e j Thus, F F F 2 1 = + net yields F 2 3 2 2 3 46 10 1 87 10 2 21 10 = × + × = × . . . N N N and F qE 2 = , or E F q = = × × = × = 2 2 8 5 2 21 10 4 43 10 443 .
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