Two infinitely long, straight wires are parallel and separated by a distance of

Question

Two infinitely long, straight wires are parallel and separated by a distance of 1.18 meters. They carry currents in the same direction. Wire 1 carries four times the current that wire 2 carries. On a line drawn perpendicular to both wires, locate the spot (relative to wire 1) where the net magnetic field is zero. Assume that wire 1 lies to the left of wire 2 and note that there are three regions to consider on this line: to the left of wire 1, between wire 1 and wire 2, and to the right of wire 2.
_______ m  ---Select--- to the left of wire or to the right of wire

Explanation / Answer

let x be the location where Bnet is zero,

so at the point equal magnetic fields Bnet = 0

i.e B1 due to wire1 = B2 due to wire 2

so

uoi/2pix = (uoi2)/(2pi (1.18-x)

1.18-x/x = i2/i1 = 1/4 = 0.25

1.18 -x = 0.25 x

1.25 x = 1.18

x = 0.944m from i1 net field is zero, to the right of i1

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