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JEE Main202329 Jan 2023Morning ShiftPhysicsMagnetic Effects of CurrentActual

The magnitude of magnetic induction at mid-point O due to current arrangement as shown in figure will be .

Options

  1. Aμ 0 I 2 πa
  2. B0
  3. Cμ 0 I 4 πa
  4. Dμ 0 I πa

Correct answer

D. μ 0 I πa

Step-by-step solution

The magnetic field at point O due to the two semi-infinite portions of both wires lying along line B E will be 0 . Using right-hand rule, it can be determined that the magnetic field due to both the semi-infinite portions of wires B C   and   E T which are perpendicular to B E will be outwards from the plane. The magnetic field due to one such portion will be: B = μ 0 I 4 π a 2 Since the magnetic field of both the portions is in same direction, the net magnetic field at O will be: B n e t = 2 &#

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