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Find the capacitance of a system of two identical metal balls of radius a if the distance between their centres is equal to b, with b>>a. The system is located in a uniform dielectric with permittivity K.

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a

π∈0Ka

b

4π∈0Ka

c

2π∈0Ka

d

2/3πϵ0Ka

answer is C.

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V1−V2=2V=2∫ab−a Edr;C=qV1−V2

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Find the capacitance of a system of two identical metal balls of radius a if the distance between their centres is equal to b, with b>>a. The system is located in a uniform dielectric with permittivity K.