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A chargedmetallic spere A is suspended by a nylon thread another charged metallic spere b heldby an insulating centres is 10 cmc and dare then removed and b is brought closer to a to a what is txpectd repulsionofa on the basis of columb law sphereaandc speres b and dhave indentical sizes ignore the sizes ofa and b in comparision to the separation between theircentres

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Solution :Letthe originalcharge on spere a be q and that on b beq at a DISTANCE r beteen theircentres the magnitude of the `F=(1)/(4piepsilon_(0))(qq)/(r^(2))`
neglecting the sizes of sperhers aand b in comparionsto r when an IDENTICAL but UNCHANGED spere c TOUCHES a the chargesredisitribute on a and c and by SYMMETRY each sprere carries a charge `q//2`similary after d touchesb the rredistributedcharge on each isof the electrosatic force on each is
`F=(1)/(4pi epsilon_(0))((q//2)(q//2))/(r//2)^(2)=(1)/(4piepsilon_(0))(qq)/(r^(2))=F`
Thus the electrostaticforce on a due to b remainsunaltered


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