Three identically charged, small spheres each of mass m are suspended from a common point by insulated light strings each of length I. The spheres are always on vertices of an equilateral triangle of length of the sides `x (ltlt l)`. Calculate the rate dq/ dt with which charge on each sphere increases if length of the sides of the equilateral triangle increases slowly according to law `(dx)/(dt)=(a)/(sqrt(x))`

Answer

`[sqrt((3piepsi_(0)mga^(2))/(l))]`