the wires carry equal currents in opposite directions and the current in wire 1

Question

the wires carry equal currents in opposite directions and the current in wire 1 is directed to the right. the wires are seperated by distance D. 3 points are shown on the diagram
A) inside wire 1     B) located directly bewteen the 2 wires       C) is located D/2 from wire 2.

1. what is the total magnetic field at location B?

2. What is the total magnetic field at location C?

3. what is the magnetic field caused by wire 2 at A?

4. what force does wire 1 experience due to the presence of wire 2? what is the mechaniam of this force?

5. what force does wire 2 experience?

6. if the current were 2 amps and the distance is 1.5 cm, what is the force on wires 1 and 2? what is the magnetic field at C?

Explanation / Answer

1. B1=Imuy0/2piD/2=Imuy0/piD. so B_b=2B1=2Imuy0/piD. 2. B2=Imuy0/2pi*3D/2 B3=Imuy0/2pi*D/2. so B3-B2=Imuy0*2/3piD 3.it is B4=Imuy0/2piD 4. F=B4*I*L=I^2*muy0*L/2piD. 5. the same. 6. plug in.

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