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Three infinite straight wires are fixed in place and alignedparallel 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) = (-17 cm, 0) carries current I1 = 3.9 A in the negative z-direction. The wire at (x,y) = (17 cm, 0) carries current I2 = 1.2 A in the positive z-direction. The wire at (x,y) = (0, 29.4 cm) carries current I3 = 6.9 A in the positive z-direction.


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

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

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

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

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, -29.4 cm) as shown. This wire carries current I4 A. Which of the following statements is true?

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.

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.

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.

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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