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Q.

If the figures shows infinite conducting rings each having current ‘I’ in the direction shown are placed concentrically in the same plane as shown in the figure. The radii of rings are r,2r, 2 2 r, 2 3 r  . The magnetic field at the center of rings will be

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a

zero

b

μ0I2r 

c

μ0Ir 

d

μ0I3r   

answer is D.

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Detailed Solution

B=μ0I2r−μ0I2(2r)+μ0I222r+…∞   

⇒B=μ0I2r1-12+122-123+………∞

⇒B=μ0I2r11--12=μ0I3r

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