Coulomb's Law

Two particles A and B each carrying a charge Q are held fixed with a separation d between them.A particle C having mass m and charge q is kept at the middle point of line AB(a)if it is displaced through a distance x perpendicular to AB what would be the electric force experienced by it.(b)assuming x<<d show that this force is proportional to x.(c)under what conditions will the particle C execute SHM if it is released after such a small displacement?(d)Find the time period of oscillations if these conditions are satisfied.(e)Repeat parts (a)-(d) if the particle C is displaced through a distance x along the line AB.

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