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Physics exercises_solution: Chapter 24

Bộ tài liệu bài tập tham khảo môn vật lý bậc đại học bằng tiếng anh Chapter 24 | 24.1 Q CV 25.0V 7.28 pF 1.82 x 10 4 C. 24.2 a A 0.00122 m2 C 0 0----------- 3.29 pF. 0 d 0 0.00328 m 24.3 b c a b c TZ Q 4.35 x 10 8 C V ----------- C 3.29x 10 F 13.2 kV. E V 13.2 x 103V 4.02 x 106 v in. d 0.00328 m __ Q 0.148 x 10 V ---------- C 2.45 x 10 6 c 604 V. 40 f A Cd 2-45 x 10 10f 0-328 x 10 m 0 0091 m2 0 E ------604 V 1.84 x 106 Vm. d 0.328 x 10 3 m 0 d E o 0E 0 1.84 x106 Vm 1.63 x 10 5 C m2. 0 24.4 AV Ed d _ 5.60 x 10 C m2 0.00180 m 8.85 x 10 C2 Nm2 1.14 mV 24.5 a Q CV 120 C b C 0 A d d d 2 means C C2 and Q Q 2 60 pC c r 2r means A 4A C 4C and Q 4Q 480 pC 24.6 a 12.0 V since the plates remain charged. b i V Q Q does not change since the plates are disconnected from the battery. C A d If d is doubled C 2 C so V 2V 24.0 V ii A nr2 so if r 2r then A 4A and C 4C which means that V 1V 3.00 V 4 24.7 Estimate r 1.0 cm s0 A s0nr2 s0n 0.010 m 2 C so d -2------- -----------A- 2.8mm d C 1.00 x 10 2 F The separation between the pennies is nearly a factor of 10 smaller than the diameter of a penny so it is a reasonable approximation to treat them as infinite sheets. 24.8 a AV Ed 100 V 104N C d d 10 2 m 1.00 cm C 0A - E R d d R Cd 4Cd y ns0 y 4ne0 R J4 5.00 x 10F 10 2m 9 x 109 m V C2 R 4.24 x 10 2 m 4.24 cm b Q CV 5pF 100 V 500 pC 24.9 C _ 2ne0 L n rb ra C 0J80m 2ne0 4.35 x 10-12-F ln 5.00 0.50 b V Q C 10.0 x 10-12C 4.35 x 10-12 F 2.30 V 24.10 a C 2ne0 . 2ne0 T y f a 7 Y L n rb ra CL Q C b Q V- 2.60V 31.5 L L ------2n 1-77 5-84. 31.5 x 10 Fm ra x 10 F m 8.19 x 10 Cm. 2np 2np 24.11 a CL ---------- ----------------0--------- 6.56 x 10 F m. ln rb ra ln 3.5 mm 1.5 mm b The charge on each conductor is equal but opposite. Since the inner conductor is at a higher potential it is positively charged and the magnitude is Q CV -L 2.8 m l .35 6.43 x 10-11C. ln rb ra ln 3.5 mm 1.5 mm 24.12 a For two concentric spherical shells the capacitance is C f rab kCrb - kCra rarb rb kCra b a a b b k I rb-ra J kC-ra _ k 116 x 10-12 F 0.150 m n rb 0.175 m. b k 116 x 10 F -0.150 m b V 220