Miyz said:
People! Why can't you all agree that the magnetic fields induce the force that does the work. Call it what you want, but the magnetic field generated a force.
I still don't understand why we haven't finished this yet.
Based on all the laws of Electrodynamics its known as a fact that magnetic fields induce electrical fields and that electrical fields INDUCE magnetic fields. As Claude said before they are of the same coin. Each facing a different side.
They are both equal to each other. In what way? In a way that without one of them, the other can't exist or do anything!
Peace!
Miyze,
Very true indeed. E & B (or E & H if you like) cannot exist independently if the energy is time varying (power is non-zero). Ampere's Law (AL) tells us that the curl of H equals the displacement current plus the conduction current. The displacement current is d
D/dt, & the conduction current is
J = σ
E As we know,
D = ε
E. In a conductor we have conduction current, in an insulator we have displacement current. In either case, E is non-zero if H has a curl. If H is zero, so is E.
Faraday's Law (FL) tells us that the curl of E equals the time rate of change of B. A static B has no E, & an ir-rotational E has no B. But in these cases we've examined, induced E fields are always rotational, hence there has to be a time varying B associated. The B fields enclose a current, hence an E field is present. E forces align with charge carrier velocity.
So whenever one says, this field is "doing the work", another can counter with "no way, the other field is doing it", then produce equations showing how the work cannot be done without the other. They are right, of course, but they don't acknowledge the chicken-egg paradox they are falling victim to. Which comes first is endless.
Fe = q
E acts in the wrong direction to lift the magnet, & it cannot be the one doing work.
Fm = q
vXB is in the right direction lifting the magnet, doing work equal to mgh. Although the Fm is not doing work on charges, it deflects charges w/o changing their KE, & internal bonding forces yank the lattice particles in the direction of the displaced electrons. These forces are E & SN.
I covered this issue in the current loop thread. I was told that my tethering treatise was irrelevant. So I am at a point where it is pointless to continue. I will clarify if asked, but if not asked, then I bid all of you a great & happy weekend, enjoy the pro football games, that is what I will be doing. Cheers.
Claude