A long, straight wire lies along the y -axis and carries a current of 10.9 A in

Question

A long, straight wire lies along the y-axis and carries a current of 10.9 A in the positive y direction. A second long, straight wire, parallel to the first and 10.6 cm to the right, carries a current of 4.95 A in the negative y direction. At what value of the x coordinate does the resultant magnetic field vanish?

Can someone help. I already posted this once and the first person got it wrong. They first person got an answer of 4.49 m. I tried putting in answers all around this number as well and they didn't work.

Explanation / Answer

Here ,

as the current flow in the oposite direction

the magnetic field will be zero at a point which is same side of both the wires

as the current in less in the right wire

the point must be closer to the right wire

I1 = 10.9 A

I2 = 4.95 A

let the x coodinate is x

for the magnetic field to be zero

u0 * I1/(2*pi*x) - u0 * I2/(2 *pi * (x - d)) = 0

10.9/(x) - 4.95/(x - 10.6) = 0

solving for x

x = 19.41 cm

the magnetic field is zero at 19.41 cm

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