1.

Figure shows a uniformly charged sphere of radius R and total charge Q. A point charge q is situated outside the sphere at a distance r from centre of sphere. Find out the following : (i) Force acting on the point charge q due to the sphere. (ii) Force acting on the sphere due to the point charge.

Answer» (i) Electric field at the position of point charge `vec(E)=(KQ)/r^(2) hat(r)`
So, `vec(F)=(KqQ)/r^(2) hat(r)" "|vec(F)|=(K qQ)/r^(2)`
(ii) Since we know that every action has equal and opposite reaction so `vec(F)_("sphere")=(K qQ)/r^(2) hat(r)`
`vec(F)_("sphere")=(K qQ)/r^(2)`


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