Three infinite straight wires are fixed in place and aligned parallel to the z-a

Question

Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-22.5 cm, 0) carries current I1= 3.7 A in the negative z-direction. The wire at (x,y) = (22.5 cm, 0) carries current I2= 0.6 A in the positive z-direction. The wire at (x,y) = (0, 39 cm) carries current I3= 6.5 A in the positive z-direction.

1)What is Bx(0,0), the x-component of the magnetic field produced by these three wires at the origin?

2)What is By(0,0), the y-component of the magnetic field produced by these three wires at the origin?

5)What is Fx(2), the x-component of the force exerted on a one meter length of the wire carrying current I2?

Another wire is now added, also aligned with the z-axis at (x,y) = (0, -39 cm) as shown. This wire carries current I4A. Which of the following statements is true?

Explanation / Answer

For the multiple choice, the correct answer is C "If I4 is directed along the positive z-axis, then it is possible to make the x-component of the magnetic field equal to zero at the origin."

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