Field Motion
Electricity and Magnetism
Level
3
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.
Your answer can be represented as
\[\large {\left(\frac {e \pi^b {\epsilon}_{○} m a^c}{qQ}\right)^d}\]
Where b , c , e are positive integers and d is a positive rational number
Enter your answer as \( b + c + d + e\)
This is a part of my set Aniket's Electrostats Challenges
by
Aniket Sanghi