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The figure shows a nonconducting ring which has positive and negative charge non uniformly distributed on it such that the total charge is zero. Which of the following statements is true?
The potential at all the points on the axis will be zero.
The electric field at all the points on the axis will be zero.
The direction of electric field at all points on the axis will be along the axis.
If the ring is placed inside a uniform external electric field then net torque and force acting on the ring would be zero.
Solution
By symmetry potential due to negative part $=$(potential due to particle part). (Also every small charge is equidistant from axis)
$\therefore$ Potential at all potential axis is zero
Direction of field is perpendicular to axis and towards negative side
There will be a torque when placed in uniform field
