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

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a

μ02πd I1 + I2

b

μ04πd I1 + I2

c

μ02πd I12 + I22

d

μ02πd I1I2I1+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 byBr=μ02πd I12 + I22

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