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iPad 21:10 webassign.net * 82%) eBook 16. 0/2 points | Previous Answers OSUniPhy

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Question

iPad 21:10 webassign.net * 82%) eBook 16. 0/2 points | Previous Answers OSUniPhys1 25.1.WA.012. My Notes Ask Your Teacher Two concentric spherical shells of diameter 14.6 cm and 32.0 cm are used to form a spherical capacitor. The charges on the inner and outer shells are -3.00 HC and +3.00 HC, respectively. (a) Determine the potential difference from the inner to the outer shell. Use the fact that the magnitude of the electric field at a distance r from the center of the inner shell is given by Ewhere k is Coulomb's constant and Q is the charge on the shell. kQ r2 How is the potential difference defined in terms of the electric field when the field varies with distance? Did you consider the direction of the electric field in the space between the two shells? kV (b) If the space between the two shells is filled with air, determine the capacitance. pF Additional Materials A eBook Submit Answer Save Progress Submit Assignment Save Assignment Progress Home My Assignments Extension Request

Explanation / Answer


Capacitance is C = 4*pi*eo*a*b/(b-a) = (4*3.142*8.85*10^-12*0.146*0.32/(0.32-0.146))


C = 2.98*10^-11 F

a) potential difference is V = Q/C = (3*10^-6)/(2.98*10^-11) = 100.67 kV

b) C = 2.98*10^-11 F = 29.8 pF