6) Another wire is now added, also aligned with the z-axis at (x,y) = (0, -22.5 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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Three infinite straight wires are fixed in place and aligned parallel to the z-axis
as shown. The wire at (x,y) = (-13 cm, 0) carries current Ij = 3.2 A in the
negative z-direction. The wire at (x,y) = (13 cm, 0) carries current I, = 1.4 A in
the positive z-direction. The wire at (x,y) = (0, 22.5 cm) carries current I3 = 5 A
in the positive z-direction.
I
d.
1) What is B(0,0), the x-component of the magnetic field produced by these three wires at the origin?
T
2) What is B,(0,0), the y-component of the magnetic field produced by these three wires at the origin?
3) What is F(1), the x-component of the force exerted on a one meter length of the wire carrying current I?
4) What is F(1), the y-component of the force exerted on a one meter length of the wire carrying current I,?
5) What is F, (2), the x-component of the force exerted on a one meter length of the wire carrying current 1,?
N
Transcribed Image Text:Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-13 cm, 0) carries current Ij = 3.2 A in the negative z-direction. The wire at (x,y) = (13 cm, 0) carries current I, = 1.4 A in the positive z-direction. The wire at (x,y) = (0, 22.5 cm) carries current I3 = 5 A in the positive z-direction. I d. 1) What is B(0,0), the x-component of the magnetic field produced by these three wires at the origin? T 2) What is B,(0,0), the y-component of the magnetic field produced by these three wires at the origin? 3) What is F(1), the x-component of the force exerted on a one meter length of the wire carrying current I? 4) What is F(1), the y-component of the force exerted on a one meter length of the wire carrying current I,? 5) What is F, (2), the x-component of the force exerted on a one meter length of the wire carrying current 1,? N
6) Another wire is now added, also aligned with the z-axis at (x,y) = (0, -22.5 cm) as shown. This wire carries
current I4 A. Which of the following statements is true?
di
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 I, 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.
Transcribed Image Text:6) Another wire is now added, also aligned with the z-axis at (x,y) = (0, -22.5 cm) as shown. This wire carries current I4 A. Which of the following statements is true? di 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 I, 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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