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Q.

A ring of radius R has charge -Q distributed uniformly over it. Calculate the charge (q) that should be placed at the centre of the ring such that the electric field becomes zero at a point on the axis of the ring distant 'R' from the centre of the ring. If the value of q=Q4Ω . The value of Ω is  __________.

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answer is 2.

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Detailed Solution

Electric field at point P due to charge of ring isE=kQxR2+x23/2 At x=R:E=kQ22R2 directed towards the centre.  Electric field at P due to centre charge: kqR2For net field to be zero at P:kqR2=kQ22R2⇒q=Q22=Q42
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