Two concentric coplanar circular loops of radii \[{{r}_{1}}\] and \[{{r}_{2}}\] carry currents of respectively \[{{i}_{1}}\] and \[{{i}_{2}}\] in opposite directions (one clockwise and the other anticlockwise.) The magnetic induction at the centre of the loops is half that due to \[{{i}_{1}}\] alone at the centre. If \[{{r}_{2}}=2{{r}_{1}}.\] the value of \[{{I}_{2}}/{{I}_{1}}\] is [MP PET 2000]

Two concentric coplanar circular loops of radii \[{{r}_{1}}\] and \[{{

1.	Two concentric coplanar circular loops of radii \[{{r}_{1}}\] and \[{{r}_{2}}\] carry currents of respectively \[{{i}_{1}}\] and \[{{i}_{2}}\] in opposite directions (one clockwise and the other anticlockwise.) The magnetic induction at the centre of the loops is half that due to \[{{i}_{1}}\] alone at the centre. If \[{{r}_{2}}=2{{r}_{1}}.\] the value of \[{{I}_{2}}/{{I}_{1}}\] is [MP PET 2000]
A.	2
B.	1/2
C.	1/4
D.	1
Answer» E.