00:02
So in this problem, we will look at how current flows in a wire and what that means in terms of the magnetic field that's produced.
00:10
So let's say we had a wire, and technically we can make it near infinite, which means it's just really, really long.
00:18
Now, if we have a current going through this wire, that's going up.
00:22
So the direction of the current is going up, but the actual vector that we're going to be looking at is l.
00:28
That's the direction that the current is going in along the line l, or the direction l.
00:34
Now, what happens is that as the current goes up like this through the wire, it actually makes magnetic field loops around it.
00:43
Now, depending on how strong the current is, they can be very large or maybe even very small, nearly nothing at all, but you'll have magnetic field loops.
00:53
So the green lines are going to represent magnetic field loops, and they come out, or we see that they come out and go back into the pool.
01:01
They come out on the right.
01:04
That's because of the right -hand rule.
01:06
The right -hand rule for the curl says, let's say i have some vector.
01:11
We'll say vector a, and what will happen is that for vector b, if it's related with all the cross product, we could say vector b would curl around vector a.
01:32
So we'll call this vector b.
01:37
So that will tell you the relationship with one and the other, because if we have a going up, then b is going to curl around.
01:46
So in this case, it's not a, it's l, and the formula that i'm referencing is the current times the length vector plus the magnetic field.
02:01
This cross product is lorentz force...