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Asked by Prashant DIGHE 6th December 2019, 10:52 PM
magnetic field at common centre is due to

(1) magnetic field due to infinite wire which is at distance b from common centre = μoi / ( 2πb ) ,
(2) magnetic field due to anticlockwise current carrying loop of radius b  = μoi / ( 2b ) ,
(3) magnetic field due to clockwise current carrying loop of radius a = μoi / ( 2a )

If net magnetic field is zero, then we have,  μoi / ( 2πb ) + μoi / ( 2b ) - μoi / ( 2a ) = 0

1 / ( πb ) + 1 / ( b ) -  1/ ( a ) = 0    or  ( b/a ) = ( 1 / π ) + 1   or  a/b  = π / ( π + 1 )
Answered by Expert 7th December 2019, 3:33 PM
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