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Q.

Two concentric rings, one of radius R and total charge +Q and the second of radius 2R and total charge -✓8Q, lie in x-y plane (i.e., z = 0 plane). The common centre of ringslies at origin and the common axis coincides with z-axis. The charge is uniformly distributed on both the rings. At what distance from origin is the net electric field on z-axis zero?

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a

R2

b

R2

c

R22

d

2R

answer is D.

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Detailed Solution

Electric field at a point on z-axis distant r from origin isE=14πε0Qrr2+R23/2-8Qrr2+4R23/2=0  Solving, we get r=2R
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