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An electron is placed just in the middle...

An electron is placed just in the middle between two long fixed line charges of charge density `+lambda` each. The wires are in the xy plane (do not consider gravity)

A

a.The equilibrium of the electron will be stable along x-direction

B

b.the equilibrium of the electron will be stable along y-direction

C

c.the equilibrium of the electron will be unstable along y-direction

D

d.the equilibrium of the electron will be stable along z-direction

Text Solution

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The correct Answer is:
D
If we displace the electron slightly towards X direction, it will thrown away towards right.
so eq. is unstable along x direction.
if we displace the electron slightly towards y direction, no Extra force will act. So eql. Is neutral along y axis . If we displace the electron towards z direction, it will be attract and try to come to eql. positron. so eql. is stable along z direction.
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