Ok, I might be a bit late on this one, but I had to register to point out something.
At 4:23 they present a formula to derive Hc . The problem with this is, that it makes absolutely no fucking sense at all (please excuse my profound language, but these things really annoy me as a physicist). At first, there is a sum of a scalar without a unit at all and a velocity (usually in m/s) and to top it of they sum it again with the square root of a velocytiy, which is simply not allowed... like.. never. If somebody would do this in a physics or engeneering exam, he would be kicked out by all of us tutors.
Furthermore, the formula given here does not even match in units (not that you even could assign it a unit AT ALL) with the one given at 4:15...
Ok, sorry for the fuzz and I am quite sure, that no one will ever read this, but at least I will be able to sleep tonight.