- #1

nerdy_hottie

- 19

- 0

## 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 = -2.60 cm and carries a current of 2.00 A out of the xy-plane of the page. Wire 2 (right) crosses the x-axis at x = 2.60 cm and carries a current of 6.80 A into the xy plane.

At which value of x is the magnetic field zero? (Hint: Careful with sign)

## Homework Equations

B=μ

_{o}I/2∏a

## The Attempt at a Solution

I am guessing that the field will equal zero at some point to the left of the left wire.

I have tried this:

0=μ

_{o}I

_{1}/2∏(x+0.026m) + μ

_{o}I

_{2}/2∏(x+0.052m)

I make one of these expressions negative because they are in opposite directions, then I bring one expression to one side and the signs on both expressions are now both positive again. Filling in my numbers, and rearranging I get 6.8x+0.1768=2x+0.104, and x=-0.0728m.

I then add the positive equivalent of this number to 0.026m and take into account the value is on the negative x-axis to get -0.0412m.

I have a feeling that I am going wrong somewhere with the sign of something.