# Charges wants freedom!

Two small equally charged spheres each of mass m are suspended from the same point by silk thread of length $$l$$ the distance between the spheres initially is $$x$$ which is very small as compared to $$l$$. Some how the charge on the spheres starts leaking out. Find the rate $$\frac{dq}{dt}$$ with which the charge leaks off each spheres; if their approach velocity varies as $$v=\frac{C}{\sqrt{x}}$$; where $$C$$ is a constant.

if the answer can be represented in this form: $\frac{dq}{dt}=\frac{a}{b}C\sqrt{\frac{fmg\pi\epsilon_{0}}{l}}$

then find the value of $$a+b+f$$?

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