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

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 = 5 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 = 2.4.

Explanation / Answer

a = 5 cm, b = 8 cm. k = 2.4. = 3.1 V a) CA = 4oab/(b - a) =1.48*10-11 F CD = kCA = 3.56*10-11 F b) CA and CD are in series, the equivalentcapacitance C = CA * CD/(CA +CD) = 1.05*10-11 F QA = C* = 3.24*10-11 C c) QD = -3.24*10-11 C

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