In my last video I showed all the angle classes for Lorentz force, the magnetic forces that show up between two wires with currents flowing in them.
And in the notes I mentioned that I thought of a way that magnetism could be explained as electrostatic repulsion and attraction, electrostatic dipoles.
So I'm going to show that quickly here. Here I have two wire currents. We know if the current's moving in the same direction that would show attraction.
So I set up a model. I'm not saying this is exactly the way it works, but it's just an idea to show you that how a dipole could cause attraction.
So here we have a barbell with a positive and a negative charge, and another barbell with a positive and a negative charge, negative and positive.
And I've drawn in all the forces of attraction here and here, repulsions diagonally.
And if you add these up it would come out to some charge number. I'll write that down in text after I calculate it.
And here I have what I call a repulsion. We know that followers are like repulsion. Two wires.
The top wire would move to the right in a parallel direction to the bottom wire.
And that seems odd that a magnetic force could do that since I've always said that the attractions and repulsions are wire to wire.
So here's an electrostatic model that would show how a positive and a negative barbell with a positive charge above it would have a repulsion this way and attraction this way, positive to negative.
And some of those two vector forces would be a perfect right angle move to the right, just like the wire here.
And here the same thing, positive and negative, but this time it's a negative charge.
Current moving downward, current moving to the right. We know this wire would have a pull to the left.
And similarly here, this would be an attraction here, repulsion here, and when you add the two vectors you get a pull to the left, perfectly parallel to the bottom barbell, the bottom electrostatic dipole.
And here I've done the final example, which is two opposite moving currents, cause a repulsion, positive, positive, negative, negative.
Some attraction diagonally, but it's weaker than the, pardon me, a net, so you get a net repulsion.
So I'll write down in the text, as I'm in the video, I'll write down in the text the calculation for the force, because we know that in Lorentz force all of these examples are supposed to be equal force.
I'll just calculate these quickly using this 45 degree angle to see if they come out equal. I don't know if they will, but it'd be kind of interesting to see.
And I'm not saying it's a perfect model, but, and I'm not sure why.
See, I have a dipole here and a dipole here. I mean, where's the dipole here? I've just identified it as a single charge, because it can't make it work as a dipole.
So it's not a perfect model, but I'm working this backwards. I'm not figuring out Einstein's special relativity to explain this.
I'm just giving it as an example of what possibly could be true to show you how two vectors can sum to create another vector that is a perfect direction that seems odd, which doesn't look like repulsion or attraction, but it actually is.
So I did the calculations. If each of these is a charge q, and I calculate 1q, 1q minus sine 45 degrees q twice, because there's two diagonals, and I came up with a net charge of 0.6q downward.
And here I have two vectors, 2q sine 30 degrees, came up to 1.0q to the right, 1.0q to the left. This is the same as the first example, 1.6, except the direction is up instead of down.
And with Lorentz force, the magnitudes are supposed to be all equal, so this did not work out equal, but it's just a rough stab at taking an exact square of charge and putting these three charges in the same box.
So there's more to the math than this, because I didn't get the magnitudes correct. They should all be equal.
And I drew an electric field around an electrostatic dipole, so that you can see the force lines are like this. So if you place a charge on one of these lines, you can see that you get a left-right motion above the dipole.
