[QUE/EM-01005] Problem-EM --- Small oscillations near a charged ring

An electron is constrained to move along the axis of a ring of charge $q$ and radius $a$. Show that the electron can perform small oscillations along the axis of with time period given by $$ T=\frac{1}{2\pi}\frac{4\pi\varepsilon_0 m a^2}{eq}$$

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