Two parallel wires connected to equal alternating currents

[FelaKuti]

Homework Statement

Two parallel wires connected to equal sinusoidal alternating currents with a phase difference of pi rad. How does the force of attraction vary with time (draw a graph)?

Q from here: https://isaacphysics.org/questions/parallel_plates?board=70437f0a-1ec0-46f4-b3d5-9b6de05311dd

Homework Equations

F = bqvsintheta
F = Bilsintheta

The Attempt at a Solution

I drew the wires with currents going in opposite directions due to the ACs being exactly out-of-phase. My thought is that with the right-hand grip rule, the magnetic field lines point in opposite directions and thus cancel out resulting in no force of attraction at any point but that's wrong.

 

[kuruman]

My thought is that with the right-hand grip rule, the magnetic field lines point in opposite directions and thus cancel out resulting in no force of attraction at any point but that's wrong.

Is the force exerted by one wire on the other in the same direction as the magnetic field?

 

[gneill]

@FelaKuti : I notice that this thread has been marked solved. Has the problem really been solved to your satisfaction?