Question

Suppose we have a uniformly charged circular ring of radius and charge . The electric field at a distance from the centre such that is given by :

Take .

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A

B

C

D

Hard

Solution

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Correct option is B)



Let us consider a small charge element of charge

And, .

The field at point P due to this element is


Now, from figure we see that component of field normal to axis is cancelled by two diametrically opposite points.

Hence, only component of field along axis is left which add up for all such elements.

     where is same for all elements means





For ,we can say



Answer-(B)

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