ElectrostaticsHard
Question
The figures below depict two situations in which two infinitely long static line charges of constant positive line charge density l are kept parallel to each other. In their resulting electric field, point charges q and −q are kept in equilibrium between them .The point charges are confined to move in the x direction only. If they are given a small displacement about their equlibrium positions, then the correct statement(s) is (are) :
Options
A.Both charges execute simple harmonic motion
B.Both charges will continue moving in the direction of their displacement
C.Charge +q executes simple harmonic motion while charge −q continues moving in the direction of its displacement.
D.Charge −q executes simple harmonic motion while charge +q continues moving in the direction of its displacement
Solution
In first case if q is shifted towards one of the wires, its repulsive force will increase which will bring the charge back.
In second case, in same type of displacement attractive force due to wire increases which will make it move further towards wire.
∴ (C)
In second case, in same type of displacement attractive force due to wire increases which will make it move further towards wire.
∴ (C)
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