Another NMOS-transistor problem

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The discussion revolves around solving a problem involving NMOS transistors, where the user initially struggles to determine the correct voltage and current values in a circuit. Key points include the user's understanding that the current through series elements remains constant and their calculations leading to v1 = 6V and v2 = 2V. Confusion arises regarding the voltage drop across the first transistor and the implications for current flow, which initially seems contradictory. Ultimately, the user resolves the problem by applying multiple equations and clarifying the relationship between Vgs and Vgg. The discussion concludes with the user expressing gratitude for the insights that led to the solution.
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[SOLVED] Another NMOS-transistor problem

I'm sorry for asking again so soon, but these transistors really give my head a spin.

Homework Statement


The problem is pretty much summed up by the following photograph:
http://img444.imageshack.us/img444/2338/transistorerul0.jpg

The Attempt at a Solution


To be quite honest I'm really stumped here. I can go over what I know (Or at least what I think I know):

Since everything displayed here is in series, I'm presuming the current over each element is the same. The voltage over R1 should be 10 - v1, basically meaning if I could find v1 I should be able to find the current R1 and thus the current in every other element connected aswell, which would make the problem easy.

Vgs for the first transistor is 5 volts, and vgs=vds for the second transistor. R1 and R2 should have the same voltage drop across them.
All in all, 15 volts dissipate over this circuits as vdd = 10 volts and vss = -5.

After this, it completely stops. I've got the correct answer, which is
v1 = 6 v
and
v2 = 2 v

So by my logic, the current over the first resistance is (10-6)/1000 = 4 mA.
This is where I get confused, because if v2 = 2v, doesn't that mean the voltage drop across the first transistor is 4v aswell?
But if it is, this indicates that 16 mA runs through it, which isn't really possible if only 4 mA runs through the first resistance.
I tried checking what the voltage vds over the first transistor had to have been in order to allow for 4mA to pass through, and as far as I can remember the answer I got was sqrt(2)+1. Which is a fairly ugly number so I'm presuming this is wrong.

Anyone got a hint that can push me in the correct direction? It would be greatly appreciated. I'm dying to understand these blasted transistors.
 
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"Vgs for the first transistor is 5 volts..." Vgg=5 volts. Wouldn't Vgs=Vgg-V2?
 
Aha, I see now, of course. Thanks!
I managed to solve it now by using four different equations, was quite a hustle but I've never figured it out if not for this!

Thanks again!
 
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