Physics 2, Three Infinite Straight Wires

[nathancurtis11]

Homework Statement

https://www.smartphysics.com/Content/smartPhysics/Media/Images/EM/14/h14_threewires.png

Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-10 cm, 0) carries current I1 = 2.9 A in the negative z-direction. The wire at (x,y) = (10 cm, 0) carries current I2 = 1.2 A in the positive z-direction. The wire at (x,y) = (0, 17.3 cm) carries current I3 = 8.9 A in the positive z-direction.

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

Homework Equations

Biot-Savart's Law: B=μoI/2∏r
Magnetic Force: F=ILxB
F=μoI1I2L/2∏r

The Attempt at a Solution

I am completely lost here I know I need to use Biot-Savart's law to determine the magnitude and direction of the magnetic field at the wire that carries current I1, and then use the magnetic force law equation to determine the magnitude and direction of the force exerted on the wire. However, I have no idea how to go through with this.

 

[BvU]

Calculate the field caused by I2 and I3 at the position of I1. etc.
Completetly lost ? Why ? Your plan is just fine.