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 XX' is given by

Question

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 XX' is given by (A) Option 1

(B)

(C)

(D)

Tardigrade Admin · Accepted Answer

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 the figure. Solution

Now, let us Solution

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. 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). This graph satisfies all these conditions. It is correct answer

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 XX′ is given by

Q. Two long parallel wires are at a distance $2 d$ 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 $X X^{'}$ is given by