Two long parallel wires lie in the xz plane. One wire passes through the point (

Question

Two long parallel wires lie in the xz plane. One wire passes through the point (-2m,0,0) & the other through the point (+2m,0,0). The wires carry equal currents in the positive z direction. The magnetic field at (-3 m, 0, 0) is in the negative y direction. The magnetic field at (-1 m,0, 0) is in the positive y direction. The magnetic field at (+ I m ,0, 0) is in the positive y direction. The magnetic field at (+3 m,0, 0) is in the negative y direction. 1 and 2 are correct. 1 and 4 are correct. 2 and 3 are correct. 3 and 4 are correct. None of the above are correct.

Explanation / Answer

8)
option 1

at p = (-3,0,0)

distane of p from (-2,0,0) = r1 = 1 m

magnetic field B1 due to the wire at (-2,0,0) is in -y direction

distane of p from (2,0,0) = r1 = 5 m

magnetic field B2 due to the wire at (2,0,0) is in -y direction.

here the magnetic field bue to both wires is in -y direction

Bnet = B1+B2 = in the -y direction

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at p = (-1,0,0)

distane of p from (-2,0,0) = r1 = 1 m

magnetic field B1 due to the wire at (-2,0,0) is in +y direction

B1 = uo*I/(2*pi*r1)

distane of p from (2,0,0) = r1 = 3 m

magnetic field B2 due to the wire at (2,0,0) is in -y direction.

B2 = uo*I/(2*pi*r2)

here the magnetic field bue to both

wires are in opposite directions

Bnet = B1-B2

r1 < r2

B1 > B2

Bnet is in +y direction

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