Field Motion

A thin fixed ring of radius aa has a positive charge qq uniformly distributed over it . A particle of mass mm, having a negative charge QQ , is placed on the axis at a distance of x(x<<a)x (x<<a) from the centre of the ring . Find the Time period of oscillations (SHM) if it is displaced a little.

Your answer can be represented as

(eπbϵmacqQ)d\large {\left(\frac {e \pi^b {\epsilon}_{○} m a^c}{qQ}\right)^d}

Where b , c , e are positive integers and d is a positive rational number

Enter your answer as b+c+d+e b + c + d + e

This is a part of my set Aniket's Electrostats Challenges

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