Two infinitely long straight wires lie in the xy -plane along the lines x = ± R . The…

Physics · JEE Advanced · NTA ExamsMagnetic Effects of Current and Magnetism

Two infinitely long straight wires lie in the xy-plane along the lines x = ±R. The wire located at x = +R carries a constant current I1 and the wire located at x = –R carries a constant current I2. A circular loop of radius R
is suspended with its centre at (0, 0, R) and in a plane parallel to the xy-plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the direction. Which of the following statements regarding the magnetic field is (are) true?
  1. If I1 = I2, then cannot be equal to zero at the origin (0, 0, 0)
  2. If I1 > 0 and I2 < 0, then can be equal to zero at the origin (0, 0, 0)
  3. If I1 < 0 and I2 > 0, then can be equal to zero at the origin (0, 0, 0)
  4. If I1 = I2, then the z-component of the magnetic field at the centre of the loop is

Answer

(C) If I 1 I 2 > 0, then can be equal to zero at the origin (0, 0, 0)

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