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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 −μ0i22r + μ0i222r ......∞B = μ0i2r 1−12 +122 +123 +....∞ B = μ0i2r 11− −12B = μ0i3r

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