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