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.

Explanation / Answer

a.0 because they are equal in magnitude and opposite in direction
b.B=2*0*i/(2(a^2+y^2)) * sin

sin=y/(a^2+y^2)

B=20i y/(2(a^2+y^2))

d.F=ilB

B is as in part(b) downward

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