# Positive charge knows how to dance !

**Electricity and Magnetism**Level 3

Two equal negative point charges each having magnitude q are fixed at \((0,a),(0,-a) \) respectively. A uniform positive point charge \(Q\) is released from rest from point \((x,0)\) where \(x\) Is very very small as compared to \(a\). Then positive charge performs simple harmonic motion, then find the time period of this S.H.M.

If the answer can be represented in this form

\[T= \sqrt{\frac{b\pi^3 m\epsilon_{0}a^3}{Qq}}\]

Then find the value of \(b\).