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755_Physics ProblemsTechnical Physics

755_Physics ProblemsTechnical Physics - Chapter 26*P26.55...

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Chapter 26 95 *P26.55 (a) Each face of P 2 carries charge, so the three-plate system is equivalent to P 1 P 2 P 2 P 3 Each capacitor by itself has capacitance C A d = = × × × = κ 0 12 4 3 1 8 85 10 7 5 10 1 19 10 5 58 . . . . C m N m m pF 2 2 2 e j . Then equivalent capacitance = + = 5 58 5 58 11 2 . . . pF . (b) Q C V C V = + = × = 11 2 10 12 134 12 . F V pC a f (c) Now P 3 has charge on two surfaces and in effect three capacitors are in parallel: C = = 3 5 58 16 7 . . pF pF b g . (d) Only one face of P 4 carries charge: Q C V = = × = 5 58 10 66 9 12 . . F 12 V pC a f . *P26.56 From the example about a cylindrical capacitor, V V k b a V V b a e b b = − = − × × = − × = − × = × × = × 2 345 2 8 99 10 1 40 10 12 2 8 99 1 4 10 500 1 564 3 10 3 45 10 1 56 10 1 89 10 9 6 3 5 5 5 5 λ ln . . ln . . ln . . . . kV Nm C C m m 0.024 m J C V V V V 2 2 e je j a f e j *P26.57 Imagine the center plate is split along its midplane and pulled apart.
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