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) = (-23.5 cm, 0) carries current I1 = 3.6 A in the negative z-direction.  The wire at (x,y) = (23.5 cm, 0) carries current I2 = 1.3 A in the positive z-direction.  The wire at (x,y) = (0, 40.7 cm) carries current I3 = 8 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?         

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

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

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

N

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

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6) Another wire is now added, also aligned with the z-axis  at (x,y) = (0, -40.7 cm) as shown.  This wire carries current I4 A.  Which of the following statements is true?         

Explanation / Answer

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