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 d from the point O in a direction perpendicular to the plane, ABCD is

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a

μ02πdi1+i2

b

μ04πdi1−i2

c

μ02πdi12+i221/2

d

μ02πdi1i2i1+i2

answer is C.

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Detailed Solution

Here point P is placed symmetrically with respect to two conductors. The magnetic fields due to the conductors are mutually perpendicular. Their resultant is given byμ02πdi12+i221/2
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