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A conducting sphere of radius R and carrying a charge q is joined to another conducting sphere of radius 2R and carrying a charge -2q. The charge flowing between them will be
a) 1.5q
b) 0.67q
c) q
d) 1.33q
At equilibrium, the electrostatic potential on the two spheres is the same. Let Q be the charge on the smaller sphere.
Potential is directly proportional to charge/radius. thus, Q/R= (-q-Q)/2R
therefore, Q= -q/3, thus charge flow = q-(-q/3) =1.33q
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