Two long, straight, parallel wires that are a distance 2a apart carry equal curr

Question

Two long, straight, parallel wires that are a distance 2a apart carry equal currents I into the plane of the page as shown.

a. Determine the resultant magnetic field intensity at the point O midway between the wires.

b. Develop an expression for the resultant magnetic field intensity at the point N, which is a vertical distance of y above point O.

c. Reproduce the diagram on your paper, and indicate the direction of the resultant magnetic field at point N. Explain how you determined this.

d. A third wire, this one of length L, carrying a different current I3 into the page is placed at point N. Determine the direction and magnitude of the magnetic force on this third wire.

Any help would be greatly appreciated, thanks!

Explanation / Answer

(a.) as the two carry equal current I,net field at o is zero.

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