What is component of force exerted the infinite wire

Question

Assignment:

Problems:

A rectangular loop of wire with sides H = 38 cm and W = 57 cm carries current I₂ = 0.361 A. An infinite straight wire, located a distance L = 27 cm from segment ad of the loop as shown, carries current I₁ = 0.735 A in the positive y-direction.

1) What is F_ad,x, the x-component of the force exerted by the infinite wire on segment ad of the loop?
 
2) What is F_bc,x, the x-component of the force exerted by the infinite wire on segment bc of the loop?.

3) What is F_net,y, the y-component of the net force exerted by the infinite wire on the loop?

4) Another infinite straight wire, aligned with the y-axis is now added at a distance 2L = 54 cm from segment bc of the loop as shown. A current, I₃, flows in this wire. The loop now experiences a net force of zero.

What is the direction of I₃?

• along the positive y-direction
• along the negative y-direction

5) What is the magnitude of I₃?

Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-15.5 cm, 0) carries current I₁ = 2.6 A in the negative z-direction. The wire at (x,y) = (15.5 cm, 0) carries current I₂ = 1.3 A in the positive z-direction. The wire at (x,y) = (0, 26.8 cm) carries current I₃ = 6 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?
 
2) What is B_y(0,0), the y-component of the magnetic field produced by these three wires at the origin?
 
3) What is F_x(1), the x-component of the force exerted on a one meter length of the wire carrying current I₁?
 
4) What is F_y(1), the y-component of the force exerted on a one meter length of the wire carrying current I₁?
 
5) What is F_x(2), the x-component of the force exerted on a one meter length of the wire carrying current I₂?