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13 Consider two spheres of the same radius R having uniformly distributed volume charge density...

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13 Consider two spheres of the same radius R having uniformly distributed volume charge density p of same magnitude and opposite sign e and e The spheres overlap such that vector joining centre of the negative sphere to that of positive sphere is d d R Consider position vector i form the mid point of line joining the centre that makes an angle with d A Electric potential at is pR d cos 0 r o for r R B Magnitude of electric field at F is E C Electric field in the region of overlap is D Electric field in region of overlans is pR d 3 r pr 3 0 3 cos 0 1 for r R 4 8

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