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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 lines is given by

 

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a

Question Image
Image (a)

b

Question Image
Image (b)

c

Question Image
Image (c)

d

Question Image
Image (d)

answer is B.

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Detailed Solution

If the current flows out of the paper, the magnetic field at points to the right of the wire will be upwards and to the left will be downwards as shown in figure.

Question Image
Reference image

Now, let us come to the problem.

Magnetic field at C=0

Magnetic field in region BX' will be upwards (+ve) because all points lying in this region are to the right of both the wires.

Question Image
Reference image

Magnetic field in region AC will be upwards (+ve), because points are closer to A, compared to B. similarly, magnetic field in region BC will be downwards(-ve).

Graph (b) satisfies all these conditions. Therefore, correct answer is (b).

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