previous 7 of 15 | xercise 24.11 Correct Significant Figures Feedback: Your answ

Question

previous 7 of 15 | xercise 24.11 Correct Significant Figures Feedback: Your answer 16.6 pF was either rounded differently or used a different number of significant figures than required for this part A spherical capacitor contains a charge of 3.50 nC when connected to a potential difference of 210 V If its plates are separated by vacuum and the inner radius of the outer shell is 4.10 cm Part B Calculate the radius of the inner sphere. CIT Submit My Answers Give Up Part c Calculate the electric field just outside the surface of the inner sphere N/C

Explanation / Answer

Part B )

C = Q/V = 3.50*10^-9/210 = 16.67 pF
C = 4 pi €o R1 R2/(R2 - R1) = 4 pi €o * 1/(1/R1 - 1/R2)
Solving
1/R1 = 1/R2 + 4 pi €o/C = 1/0.041 + 1/(9*10^9*16.67*10^-12)
R1 = 0.0322m = 3.22 cm

Part C)

E 4 R1^2 = Q/

E = - Q/(4R1^2)

= (9*10^9)*(3.50*10^-9)/(0.0322)^2

= 3.04*10^4 N/C

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