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(a) Calculate the two capacitances. C A = F C D = F (b) Calculate the charge (in

ID: 1668092 • Letter: #

Question

(a) Calculate the two capacitances.

CA = F    

CD = F    

(b) Calculate the charge (including the appropriate algebraicsign) that appears on the inner plate of CAwhen fully charged.

QA = C    

(c) Calculate the charge that appears on the outer plate ofCD when it is fully charged.

QD = C

The two spherical-shell capacitors shown in the diagram haveinner radii of a = 2 cm and outer radii of b = 8cm. The space between the spherical plates of capacitorCA is filled with air and in capacitorCD the space is filled with a dielectric withk = 3.

Explanation / Answer

a) Ca= 4o /(1/a -1/b) = 2,966.10^-12 F Cd = k. 4o /(1/a -1/b)=8,897.10^-12 F b)total capacitance : C= Ca.Cd/(Ca+Cd) = 2,224.10^-12 F => The charge : Q= .C = 6,8944.10^-12 C => Qa =-6,8944.10^-12 C Qd =-6,8944.10^-12 C