Questions

Two identical long conducting wires AOB and COD are placed at right angle to each other, with one above other such that 0 is their common point for the two. The wires carry ${I}_{1}and{I}_{2}$ currents, respectively. Point P is lying at distance d from 0 along a direction perpendicular to the plane containing the wires. The magnetic field at the point P will be

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a

μ02πdI1I2

b

μ02πdI1+I2

c

μ02πdI12-I22

d

μ02πdI12+I221/2

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detailed solution

Correct option is D

The magnetic field at the point P, at a perpendicular distance d from 0 in a direction perpendicular to the plane ABCD due to currents through AOB and COD are perpendicular to each other. Hence, B=B12+B221/2=μ04π2I1d2+μ04π2I2d21/2=μ02πdI12+I221/2

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Two long straight parallel wires P and Q are kept at a separation of 1 m. Current in P is 3A and that in Q is 1A. Then distance of the point from P where the magnetic induction will be zoro is

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