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Welcome back.

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So now you know about the state of the art knowledge and the early theories of electrodynamics, so

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you have seen that there are some concepts that already made sense even before the Maxwell's equations

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were formulated.

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For example, there was quite a good knowledge about charges and there was quite a good knowledge about

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magnets.

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And we had already understood some concepts like the Cullum's law.

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However, we had also seen that, for example, the impasse law is not really correct, that there is

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a term missing because it violates the continuity equation.

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So now we will come to one of the most important sections of this whole course.

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I would say it's the most important section because here I will straight up introduce to you the Maxwell's

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equations.

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So in the first lecture, I will just give you these equations, I will just write them down, as Maxwell

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did, and the truth is, it's not really possible to derive these equations.

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However, I will follow up with a lecture about a motivation for these equations.

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So we will use symmetry arguments and we will at least make it reasonable that the Maxwell equations

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look like they look.

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So once we have these maximal equations, we will, of course, discuss them and I will also derive

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the integral version of the Maxwell equations.

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And then later in this course, you will see that the Maxwell equations are really the basis of all

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of electrodynamics, and you can use them to derive basically every phenomenon with within electrodynamics.

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However, we need also a fifth law, which is the Lawrence force, so we will also discuss to Lawrence

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Force in this lecture.

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So I hope you're still motivated.

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Let's go ahead and start the discussion of the Maxwell equation.
