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JEE MainPhysicsMagnetic Effects of Current

A long straight wire is bent at a right angle at the origin. One semi-infinite segment of the wire lies along the negative x-axis and carries a current I towards the origin. The other semi-infinite segment lies along the positive z-axis and carries the same current I away from the origin. The magnitude of the net magnetic field at a point P(0, d, 0) on the y-axis is

Options

  1. A2 ₀ I 4 d
  2. B₀ I 2 d
  3. C2 ₀ I 2 d
  4. D₀ I 4 d

Correct answer

A. 2 ₀ I 4 d

Step-by-step solution

The wire consists of two semi-infinite segments. The first segment lies along the negative x-axis with current I flowing in the + i direction. The observation point P is at a perpendicular distance d along the y-axis. The magnetic field at P due to this semi-infinite segment is: B ₁ = ₀ I 4 d ( i j ) = ₀ I 4 d k The second segment lies along the positive z-axis with current I flowing in the + k direction. The point P is at a perpendicular distance d along the y-axis. The magnetic field at P due to this semi-infinit

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