Q.

Two long parallel wires are at a distance 2d apart. They carry steady equal currents flowing out of the plane of the paper as shown. The variation of the magnetic field B along the line XX1 is given by

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a

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b

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c

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d

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answer is B.

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Detailed Solution

The magnetic field in between will be zero because magnetic field due to both wires will be in opposite direction.
Bin between =μ0i2πxj^μ0i2π(2dx)(j^)Bin between =μ0i2πx1x1(2dx)j^
at x = d, Bin between = 0
for x < d, Bin between =j^
for x > d, Bin between =-j^
towards ' x ' net magnetic field will add up and direction will be -j^ .
towards ' x ' net magnetic field will add up and direction will be -j^ .

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Two long parallel wires are at a distance 2d apart. They carry steady equal currents flowing out of the plane of the paper as shown. The variation of the magnetic field B along the line XX1 is given by