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Two thin long wires carry currents I₁ and I₂ along x- and y-axes, respectively, as shown in below Figure. Consider the points only in x-y plane.

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Magnetic field is non-zero in second quadrant

Magnetic field is zero at least at one point in each quadrant

Magnetic field can be zero somewhere in the second quadrant

Magnetic field can be zero somewhere in the first quadrant

answer is B, D.

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Detailed Solution

In first and third quadrants, direction of magnetic field is opposite due to the two wires. So, magnetic field can be zero only in first and third quadrants not in second and fourth. Hence, (2) and (4) are correct.

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