Q.

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

answer is D.

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Detailed Solution

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