Question

Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown....

Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-19 cm, 0) carries current I1 = 2.9 A in the negative z-direction. The wire at (x,y) = (19 cm, 0) carries current I2 = 0.5 A in the positive z-direction. The wire at (x,y) = (0, 32.9 cm) carries current I3 = 6.2 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?

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

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

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

6. Another wire is now added, also aligned with the z-axis at (x,y) = (0, -32.9 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.

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