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Two infinitely long line charges having ...

Two infinitely long line charges having charge density `lamda` each are parallel to each other and separated by distance d. A charge particle of mass m and charge q is placed at mid point between them. This charge displaced slightly along a line AB which is perpendicular to the line charges and in the plane of the charges. prove that the motion of the particle will be SHM for small displacement and `lamda q gt 0` Neglect gravity. Find the time period.

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