At Which Value of x is the Magnetic Field Zero?

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The problem involves two parallel conducting wires with different currents, and the goal is to find the point on the x-axis where the magnetic field is zero. The first wire, located at x = -1.80 cm, carries a current of 2.60 A out of the page, while the second wire at x = 1.80 cm carries a current of 8.80 A into the page. The user initially calculated the distance incorrectly but later found the correct distance to be approximately 1.51 cm, leading to the zero magnetic field point at about -3.31 cm on the x-axis. After verifying the calculations with the magnetic field formula, the user confirmed their answer was correct. The discussion emphasizes careful attention to sign and distance in magnetic field calculations.
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Homework Statement


Consider two parallel conducting wires along the direction of the z axis as shown below. Wire 1 crosses the x-axis at x = -1.80 cm and carries a current of 2.60 A out of the xy-plane of the page. Wire 2 (right) crosses the x-axis at x = 1.80 cm and carries a current of 8.80 A into the xy plane.
At which value of x is the magnetic field zero? (Hint: Careful with sign)
http://img234.imageshack.us/img234/6758/14937203wx9.png

Homework Equations



B = \frac{ \mu I}{2 \pi r}

The Attempt at a Solution



Since i know that the point I am looking for will be to the left of -1.80 cm on the x-axis, i should be able to deduce a distance from that point using:


\frac{2.6}{d} = \frac{8.8}{d + 3.6}

I found d to be 4.2871. I added this to 1.8 meaning the point it at -6.09 cm on the x axis, which is incorrect. Is my math wrong?
 
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edit: actially, i found d to be 1.50967 and the point on the x-axis to be -3.3096 cm. This makes sense, but I am kind of afraid to try it since i only have one more attempt at the problem. Any confirmations?
 
nevermind. I checked my answers with the formual for magnetic field, and it was correct.
 
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