JEE Advanced 2024 Physics question

PhysicsMoving Charges and MagnetismJEE Advanced 2024

An infinitely long wire, located on the -axis, carries a current along the -direction and produces the magnetic field . The magnitude of the line integral along a straight line from the point to is given by [ is the magnetic permeability of free space.]

Answer: (A)

Solution

, so and the integral depends only on the change of the azimuthal angle (the path does not cross the wire). Start:

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Question ID VK-034182