Gradebook ORION Downloadable eTextbook nent MESSACE HY INSIRUCTOR FRL SCREEN PRI

Question

Gradebook ORION Downloadable eTextbook nent MESSACE HY INSIRUCTOR FRL SCREEN PRINTER VERSION 4BACK NEXT Chapter 25, Problem 004 Your answer is partially correct. Try again. The plates of a spherical capacitor have radil 33.1 mm and 34.2 mm. (a) Calculate the capacitance. (b) What must be the plate area of a parallel-plate capacitor with the same plate separation and capacitance? (a) Number (b) N Click if you would like to Show Work for this question: Open Show Work LINK TO 1TEXY LINK TO SAMPLE PROBLEM

Explanation / Answer

for spherical capacitance,

C = 4 pi e0 ab / (b - a)

C = (4 pi 8.854 x 10^-12 ) (0.0331) (0.0342) (0.0342 - 0.031)

C = 1.145 x 10^-10 F  

C = 114.5 x 10^-12 F

C = 114.5 pF ...........Ans

(B) d = 34.2 - 33.1 =1.1 mm = 1.1 x 10^-3

  
C = e0 A / d

114.5 x 10^-12 = (8.854 x 10^-12)(A) / (1.1 x 10^-3)

A = 0.014 m^2 = 142.3 cm^2

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