# Field Motion

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

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

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

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

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