Consider a simple and classical set-up of a round loop with current($I_1$)that is parallel to a wire that has current flowing as well ($I_2$).
In this "ideal" system, the wire & loop are fixed, such that the Lorentz force is cancelled. We can considered this as a steady state, where the magnetic field $B$ is at it's maximum. And current flowing in both (separate) conductors are at their maximum as well (to ignore self-inductance). If we allow the wire to accelerate(i.e set free...) as such:
How does this change or relate to:
1) Newton's 3rd law(Even in the steady state, I believe there is a Lorentz force between the two conductors).
2) Due to Newton's 3rd law, the conservation of momentum within $B$...?
3) The conservation of energy($E$) of the system?
The Lorentz force is acting on the two conductors, yet the momentum($p$) is conserved within $B$ OR caused by it? I'm using this example to understand how Momentum & Energy are conserved and contribute to the explanation of the dynamics of this system, could someone please explain how?