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A and B. are two centric circular conductor of centre O and carrying currents i1 and i2, as shown in fig.The ratio of their radii is 1:2 and ratio of the flux densities at O due to A and B is 1 :3. The value of i1, / i,2 will be

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a

1/6

b

1/4

c

1/2

d

1/3

answer is A.

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Detailed Solution

Here,B1=μ0i12r1 and B2=μ0i22r2∴ B1B2=i1r1×r2i2=i1i2×r2r1or i1i2=B1B2×r1r2=13×12=16

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