Two straight horizontal parallel wires are carrying the same current in 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 current in the wires?

At a distance d/2 from any of the wires.

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At a distance d/2 from any of the wires in the horizontal plane.

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Anywhere on the circumference of a vertical circle of radius d ans centre half way between the wires.

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At points half way between the wires in the horizontal plane.

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Solution

The correct option is A
At a distance d/2 from any of the wires.

At a distance d/2 from any of the wires,the orientation of the needle be independent of the magnitude of current in the wires; since the lorentz force acting due to the two wires will be equal and in opposite direction.

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The correct option is A At a distance d/2 from any of the wires. At a distance d/2 from any of the wires,the orientation of the needle be independent of the magnitude of current in the wires; since the lorentz force acting due to the two wires will be equal and in opposite direction.

The correct option is A
At a distance d/2 from any of the wires.

At a distance d/2 from any of the wires,the orientation of the needle be independent of the magnitude of current in the wires; since the lorentz force acting due to the two wires will be equal and in opposite direction.