758_Physics ProblemsTechnical Physics

758_Physics ProblemsTechnical Physics - 98 Capacitance and...

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98 Capacitance and Dielectrics P26.64 (a) C d xx d x = −+ = +− 00 2 1 AA A A A af κκ (b) UC V V d x == F H G I K J 1 2 1 2 1 2 0 2 2 κ (c) Fi =− F H G I K J = dU dx V d ± 0 2 2 1 a f a f A to the left (out of the capacitor) (d) F = ×− × 2000 885 10 00500 450 1 2 2 00 10 155 10 2 12 3 3 bg ej a f .. . . . N P26.65 The portion of the capacitor nearly filled by metal has capacitance →∞ 0 A x d and stored energy Q C 2 2 0 . The unfilled portion has capacitance ∈− 0 x d . The charge on this portion is Q xQ = A A a f 0 . (a) The stored energy is U Q C xd Qx d = 2 0 2 0 0 2 0 3 22 2 A A a f . (b) F dU dx d dx d Qd
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