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Q.

Two infinite wires, carrying currents i1 and i2, are lying along x- and y-axes, as shown in the x-y plane. Then,

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a

locus of points where B is zero is a circle

b

B decays hyperbolically along any line parallel to x-axis

c

B decays hyperbolically along any line parallel to y-axis

d

locus of points where B is zero is a line

answer is B.

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Detailed Solution

Magnetic field may be zero in first and third quadrants. μ0I12πy=μ0I22πx represents a straight line passing through the origin.

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Two infinite wires, carrying currents i1 and i2, are lying along x- and y-axes, as shown in the x-y plane. Then,