Various SHM oscillations in charges

SHM in axial line

For a particle of mass 1 mg and charge q is lying at the mid-point of two stationary particles kept at a distance 2 m when each is carrying same charge q. If the free charged particle is displaced from its equilibrium position through distance 'x' ( x very less than 1 m). The particle executes SHM. Its angular frequency of oscillation will be ______ x 10^5 rad/sec if q^2 = 10 C^2.

[ 6000]

Two identical positive charge Q each are fixed at a distance of 2a apart from each other. Another point charge q_o with mass m is placed at midpoint between two fixed charges. For a small displacement along the line joining the fixed charges, the charge q_o executes SHM. The time period of oscillation of charge q_o will be .......... [Ans: sqrt(4 pi ^2 epsilon_o m a^3 / q_o Q ) ]

SHM in Equatorial Line

SHM due to ring, disk, external E and dipole etc.

No SHM due to same charged particle