Question

Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-22 cm, 0) carries current I₁ = 3.1 A in the negative z-direction. The wire at (x,y) = (22 cm, 0) carries current I₂ = 0.7 A in the positive z-direction. The wire at (x,y) = (0, 38.1 cm) carries current I₃ = 6.3 A in the positive z-direction.

1. What is B_x(0,0), the x-component of the magnetic field produced by these three wires at the origin? ___T The answer is not .000003T

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

3. What is F_x(1), the x-component of the force exerted on a one meter length of the wire carrying current I₁?___N

4. What is F_y(1), the y-component of the force exerted on a one meter length of the wire carrying current I₁? ___N

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

6. Another wire is now added, also aligned with the z-axis at (x,y) = (0, -38.1 cm) as shown. This wire carries current I₄ A. Which of the following statements is true?

A. If I₄ is directed along the positive z-axis, then it is possible to make the y-component of the magnetic field equal to zero at the origin.

B. If I₄ is directed along the negative z-axis, then it is possible to make the y-component of the magnetic field equal to zero at the origin.

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.

D. If I₄ is directed along the negative z-axis, then it is possible to make the x-component of the magnetic field equal to zero at the origin. A

Answer 1