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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 I 1 and the wire located at x = –R carries a constant current I 2 . A circular loop of radius R is suspended with its centre at (0, 0, R 3 ) 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 j ˆ + direction. Which of the following statements regarding the magnetic field B G is (are) ture ?

1. If I 1 = I 2 , then B G cannot be equal to zero at the origin (0, 0, 0)
2. If I 1 > 0 and I 2 < 0, then B G can be equal to zero at the origin (0, 0, 0)
3. If I 1 < 0 and I 2 > 0, then B G can be equal to zero at the origin (0, 0, 0)
4. If I 1 = I 2 , then the z-component of the magnetic field at the centre of the loop is ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ μ − R 2 1 0 CAREER POINT CAREER POINT , CP Tower, IPIA, Road No.1, Kota (Raj.), : 0744-6630500 | www.ecareerpoint.com Email: info@cpil.in Page # 5 Paper-1

Correct answer: If I 1 = I 2 , then B G cannot be equal to zero at the origin (0, 0, 0)

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