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a. Two spheres have radii a and b and th...

a. Two spheres have radii `a` and `b` and their centres are at a distance d apart. Show that the capacitance of this system is
`C=(4piepsilon_0)/(1/a+1/b+-2/d)`
provided that `d` is large compared with `a` and `b`.
b. Show that as `d` approaches infinity the above result reduces to that of two islotated spheres inseries.

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