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JEE Advanced 2018 Paper 1

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Question : 5

Total: 54

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,√3R) 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 ?

If I1=I2 then
−
B
cannot be equal to zero at the origin (0,0,0)
If I1>0 and I2<0 then
−
B
can be equal to zero at the origin (0,0,0)
If I1<0 and I2>0 then
−
B
can be equal to zero at the origin (0,0,0)
If I1=I2,then the z-component of the magnetic field at the centre of the loop is (−
µ0I
2R
)

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