# 8.A: capacitance (Majibu)

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## Angalia Uelewa Wako

8.1. $$\displaystyle 1.1×10^{−3}m$$

8.3. Sentimita 3.59, sentimita 17.98

8.4. a. 25.0 pF;

b. 9.2

8.5. a$$\displaystyle C=0.86pF,Q_1=10pC,Q_2=3.4pC,Q_3=6.8pC$$;.

b$$\displaystyle C=2.3pF,Q_1=12pC,Q_2=Q_3=16pC$$;

c.$$\displaystyle C=2.3pF,Q_1=9.0pC,Q_2=18pC,Q_3=12pC,Q_4=15pC$$

8.6. a.$$\displaystyle 4.0×10^{−13}J$$; b. Mara 9

8.7. a. 3.0; b.$$\displaystyle C=3.0C_0$$

8.9. a$$\displaystyle C_0=20pF, C=42pF$$;.

b$$\displaystyle Q_0=0.8nC, Q=1.7nC$$;

c.$$\displaystyle V_0=V=40V$$; d.$$\displaystyle U_0=16nJ, U=34nJ$$

## Maswali ya dhana

1. hapana; ndiyo

3. uongo

5. hapana

7. $$\displaystyle 3.0μF,0.33μF$$

9. majibu yanaweza kutofautiana

11. Nguvu ya dielectric ni thamani muhimu ya uwanja wa umeme juu ambayo insulator huanza kufanya; mara kwa mara ya dielectric ni uwiano wa shamba la umeme katika utupu kwenye uwanja wa umeme wa wavu katika nyenzo.

13. Maji ni kutengenezea nzuri.

15. Wakati nishati ya mwendo wa joto ni kubwa (joto la juu), shamba la umeme lazima liwe kubwa pia ili kuweka dipoles za umeme zimeunganishwa nayo.

17. majibu yanaweza kutofautiana

## Matatizo

19. 21.6 cm

21. 1.55 V

23. 25.0 nF

25. $$\displaystyle 1.1×10^{−3}m^2$$

27. 500 μC

29. 1:16

31. a. 1.07 nC;

b. 267 V, 133 V

33. $$\displaystyle 0.29μF$$

34. 500 capacitors; kushikamana kwa sambamba

35. $$\displaystyle 3.08μF$$(mfululizo) na$$\displaystyle 13.0μ$$ (sambamba)

37. $$\displaystyle 11.4μF$$

39. 0.89 cm; 1.78 cm; 444 V

41. $$\displaystyle 7.5μJ$$

43. a. 405 J; b. 90.0 mC

45. 1.15 J

47. a$$\displaystyle 4.43×10^{−9}F$$;.

b. 0.453 V;

c$$\displaystyle 4.53×10^{−10}J$$;

d. hapana

49. 0.7 mJ

51. a. 7.1 pF;

b. 42 pF

53. a. kabla ya 3.00 V; baada ya 0.600 V;

b. kabla ya 1500 V/m; baada ya 300 V/m

55. a. 3.91;

b. 22.8 V

57. a. 37 nC;

b. 0.4 mV/m;

c. 19 nC

59. a$$\displaystyle 4.4μF$$;.

b.$$\displaystyle 4.0×10^{-5}C$$

61. $$\displaystyle 0.0135m^2$$

63. $$\displaystyle 0.185μJ$$

65. a. 0.277 nF;

b. 27.7 nC;

c. 50 kV/m

67. a. 0.065 F;

b. 23,000 C;

c. 4.0 GJ

69. a.$$\displaystyle 75.6μC$$; b. 10.8 V

71. a. 0.13 J;

b. hapana, kwa sababu ya kupokanzwa kwa kupinga katika waya za kuunganisha ambazo zipo daima, lakini mzunguko wa mzunguko hauonyeshe kupinga

73. a$$\displaystyle −3.00μF$$;.

b Huwezi kuwa na$$\displaystyle C_2$$ uwezo hasi.

c. dhana kwamba walikuwa wakiinasa katika sambamba, badala ya mfululizo, si sahihi. Uunganisho sambamba daima hutoa uwezo mkubwa, wakati hapa capacitance ndogo ilikuwa kudhani. Hii inaweza tu kutokea kama capacitors ni kushikamana katika mfululizo.

75. a. 14.2 kV;

b. voltage ni kubwa sana, zaidi ya mara 100 kuvunjika voltage ya nylon.

c. malipo ya kudhani ni unreasonably kubwa na haiwezi kuhifadhiwa katika capacitor ya vipimo hivi.

## Changamoto Matatizo

77. a. 89.6 pF;

b. 6.09 kV/m;

c. 4.47 kV/m;

d. hapana

79. a. 421 J;

b. 53.9 mF

81. $$\displaystyle C=ε_0A/(d_1+d_2)$$

83. ushahidi

## Wachangiaji na Majina

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