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Q.

Two straight long conductors AOB and COD are perpendicular to each other and carry currents i1 and i2 . The magnitude of the magnetic induction at a point P at a distance a from the point O in a direction perpendicular to the plane ACBD is

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a

μ02πai1+i2

b

μ02πai1-i2

c

μ02πai12+i2212

d

answer is C.

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At P :BNET=B12+B22=μ0i12πa2+μ0i22πa2
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Two straight long conductors AOB and COD are perpendicular to each other and carry currents i1 and i2 . The magnitude of the magnetic induction at a point P at a distance a from the point O in a direction perpendicular to the plane ACBD is