OK, so in the previous section, we have talked about electromagnetic waves or light so that we have
considered the vacuum where we set the charge densities and the current densities to zero.
Here we want to discuss Electrostatic, which is a different special case of the Maxwell's equations.
So here we are not in a vacuum here.
We really want to consider charges.
And later, also currents.
However, as the name says, Static's, we want to consider the static case, which means that the time
derivatives of E and B are zero.
And this brings about important consequences to the Maxwell's equations, as you can imagine, because
sometimes will be zero.
So in this section, we will start by writing down the Maxwell's equations in Electrostatic.
I think that's quite easy.
Maybe you can already do it yourself and then we will drive the opposing equation.
So here the idea is that now that we have some modified Maxwell's equations, we can introduce a so-called
electrostatic potential that will give rise to a special differential equation.
But you will see all of this in a few minutes.
And then we can use these equations to consider the electric field or to really to calculate the electric
field of several charged distributions, and really we will really go into detail and we will calculate
specific examples.
So, for example, you would calculate the electric fields for a charged sphere.
So we would calculated inside of the sphere and outside of the sphere and every position in space.
And we will even calculate a capacitor spherical capacitor.
We would calculate the voltage between the two metals and we were the capacitance.
That's really something you can do with a Maxwell's equations there after we will discuss the so-called
electric dipole.
So here we do not want to discuss a single electric charge, but a pair of charges plus and minus three
will really derive in a quite difficult theoretical lecture how the fields, the electric field of the
dipole looks like.
And then we will really see how forces and also talks act on this electric dipole.
So before we conclude, I want to discuss the energy of electricity, and I also want to talk about
boundary conditions and so-called merit charges, so that's quite exciting.
So let's see how all of this works.