1

00:00:00,780 --> 00:00:06,990

OK, so in the previous section, we have talked about electromagnetic waves or light so that we have



2

00:00:06,990 --> 00:00:12,090

considered the vacuum where we set the charge densities and the current densities to zero.



3

00:00:13,120 --> 00:00:18,280

Here we want to discuss Electrostatic, which is a different special case of the Maxwell's equations.



4

00:00:19,270 --> 00:00:21,590

So here we are not in a vacuum here.



5

00:00:21,610 --> 00:00:23,950

We really want to consider charges.



6

00:00:24,130 --> 00:00:25,480

And later, also currents.



7

00:00:26,440 --> 00:00:33,220

However, as the name says, Static's, we want to consider the static case, which means that the time



8

00:00:33,220 --> 00:00:36,110

derivatives of E and B are zero.



9

00:00:36,820 --> 00:00:42,130

And this brings about important consequences to the Maxwell's equations, as you can imagine, because



10

00:00:42,460 --> 00:00:43,900

sometimes will be zero.



11

00:00:45,220 --> 00:00:50,260

So in this section, we will start by writing down the Maxwell's equations in Electrostatic.



12

00:00:50,620 --> 00:00:51,640

I think that's quite easy.



13

00:00:51,650 --> 00:00:56,950

Maybe you can already do it yourself and then we will drive the opposing equation.



14

00:00:57,670 --> 00:01:03,880

So here the idea is that now that we have some modified Maxwell's equations, we can introduce a so-called



15

00:01:04,780 --> 00:01:09,760

electrostatic potential that will give rise to a special differential equation.



16

00:01:09,850 --> 00:01:12,730

But you will see all of this in a few minutes.



17

00:01:13,850 --> 00:01:19,880

And then we can use these equations to consider the electric field or to really to calculate the electric



18

00:01:19,880 --> 00:01:26,750

field of several charged distributions, and really we will really go into detail and we will calculate



19

00:01:26,960 --> 00:01:28,400

specific examples.



20

00:01:28,750 --> 00:01:33,350

So, for example, you would calculate the electric fields for a charged sphere.



21

00:01:33,590 --> 00:01:38,720

So we would calculated inside of the sphere and outside of the sphere and every position in space.



22

00:01:39,440 --> 00:01:44,420

And we will even calculate a capacitor spherical capacitor.



23

00:01:44,420 --> 00:01:50,530

We would calculate the voltage between the two metals and we were the capacitance.



24

00:01:50,840 --> 00:01:57,290

That's really something you can do with a Maxwell's equations there after we will discuss the so-called



25

00:01:57,290 --> 00:01:58,410

electric dipole.



26

00:01:59,060 --> 00:02:05,450

So here we do not want to discuss a single electric charge, but a pair of charges plus and minus three



27

00:02:05,450 --> 00:02:12,440

will really derive in a quite difficult theoretical lecture how the fields, the electric field of the



28

00:02:12,440 --> 00:02:13,550

dipole looks like.



29

00:02:14,280 --> 00:02:21,930

And then we will really see how forces and also talks act on this electric dipole.



30

00:02:23,640 --> 00:02:29,340

So before we conclude, I want to discuss the energy of electricity, and I also want to talk about



31

00:02:29,340 --> 00:02:34,440

boundary conditions and so-called merit charges, so that's quite exciting.



32

00:02:34,470 --> 00:02:36,270

So let's see how all of this works.