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Two straight horizontal parallel wires are carrying the same current in the same direction. d is the distance between the wires. You are provided with a small freely suspended magnetic needle. At which of the following positions will the orientation of the needle be independent of the magnitude of the current in the wires?

a
At a distance d/2 from any of the wires
b
At a distance d/2 from any of the wires in the horizontal plane
c
Anywhere on the circumference of a vertical circle of radius d and centre halfway between the wires
d
At points halfway between the wires in the horizontal plane

detailed solution

Correct option is D

At these points, the resultant field = 0

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