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Two concentric rings of radii R(1) = sqr...

Two concentric rings of radii `R_(1) = sqrt(6) m` and `R_(2) = 4m` are placed in y-z plane with their centres at origin. They have uniform charge -q and `+ Q = 2 sqrt(2) q` on the inner and outer rings respectively. Consider the electrostatic potential to be zero at infinity. Then

A

The electric potential is zero at origin

B

The electric field intensity is zero at a distance `x=2m` from origin on axis of ring.

C

A positive charged particle disturbed from origin along the x-axis will restore back to origin for any value of displacement

D

Where potential is maximum on the x-axis, field intensity is zero.

Text Solution

Verified by Experts

The correct Answer is:
B, D
`V_(0)=(k(-q))/(sqrt(6))+(k(2sqrt(2)q))/(4)ne0`
`E=(-kqx)/((R_(1)^(2)+x^(2))^(3//2))+(k2sqrt(2)q)/((R_(2)^(2)+x^(2))^(3//2))`
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