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A and B are two identical point sized metal spheres each holding the same charge q. These two are separated by certain distance and the mutual electrostatic force between them is F. if a third identical uncharged sphere 'C' is touched with A and kept exactly at the midpoint of line joining A and B, what is the resulting force on C and its direction ? |
Answer» SOLUTION :Force between two charges  `F = K (q^2)/(r^2)`[where `K = 1/(4 pi epsilon_0)`] when third identical uncharged sphere touched with A and placed at the mid POINT of AB, then  `F_("net") = F_1 - F_2` `= K CDOT ((q^2//4))/(r^2//4) - K((q^2//2))/(r^2//4) = (Kq^2)/(r^2) - 2cdot (Kq^2)/(r^2) = F - 2F` `F_("net") = -F` i.e., RESULTANT force is F towards A. |
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