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In figure, infinite conducting rings each having current i in the direction shown are placed concentrically in the same plane as shown in the figure. The radius of rings are r, 2r, 22r, 23r ... , The magnetic field at the centre of rings will be

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a
Zero
b
μ0ir
c
μ0i2r
d
μ0i3r

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detailed solution

Correct option is D

B=μ0i2r-μ0i2(2r)+μ0i222r…∞ B=μ0i2r1-12+122-123+…∞ B=μ0i2r11--12⇒B=μ0i3r

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