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Q.

A wire having uniform linear change density  +λ, is bent in the form of a ring of radius R. Point A as shown in Fig., is in the plane of ring. But not at the centre. Two elements of the ring of lengths a1 and a2 subtends small equal angle at the point A. They are at distance r1 and r2 from point A respectively  (r2>r1):

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a

The ratio of charge of elements a1 and a2 is  r1r2

b

The element a1 produces greater magnitude of electric field at A than produced by element a2

c

The elements a1and a2 produce same potential at A.

d

If the charge of ring is reversed to negative charge (of linear density λ), Then element a1 produces greater magnitude of electric field at A than element a2.

answer is A, B, C, D.

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Detailed Solution

dq1=λr1θ; dq2=λr2θ         E1=Kdq1r12=Kλ1dθr1       V=Kdqr=Kλdθ

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