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A and B are two concentric circular conductors of centre O and carrying currents i1 and i2 as shown in the figure. If ratio of their radii is 1 : 2 and ratio of the flux densities at O due to A and B is 1 : 3, then the value of i1/i2 is

a
16
b
14
c
13
d
12

detailed solution

Correct option is A

r1  :  r2  =  1  :  2  and B1  :  B2  =  1  :  3.   We  know  thatB= μ04π.  2πnir  ⇒   i1i2 =  B1r1B2r2 =  1 × 13 × 2 =16

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