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Question

Which of the following graphs correctly represent the variation of electric field E vs r for a ring, where r represents the distance from the centre of ring along its axis.

A
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B
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C
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D
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Solution

The correct option is A
Electric field, E due to a ring of radius R along its axis at distance r from its centre is given by,

|E|=KQr(R2+r2)32

At the centre of the ring, r=0 so, |E|=0

At r we have,

|E|=limrKQrr3(R2r2+1)32=0

Now, we know that,
E achieves its maxima at r=±R2

On plotting the above points we get the graph as shown below.


Hence, option (a) is correct answer.

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