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Statement of a problem № 3701

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(a) Show that the capacitance, C , of a conducting sphere of radius a is given by C = 4pie0a. (b) Two isolated conducting spheres, both of radius a, initially carry charges of q1 and q2 and are held far apart. The spheres are connected together by a conducting wire until equilibrium is reached, whereupon the wire is removed. Show that the total electrostatic energy stored in the spheres decreases by an amount dU , given by dU = 1/16pie0Q(q1-q2)^2 What happens to this energy?

Solution:
(a)  Show that the capacitance, C , of a conducting sphere of radius a is given

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