Tony Williams wrote...
Looks like it.
Yes. As noted in Appendix 2.
That bit is beyond me, especially as an Na seems to
have disappeared as well.
He set the surface potential, phi_S, to 2 phi_F, which should have
made the last square-root term, q Es / phi_F, but it appears he
mistakenly left the 2 in place. Note in equation 7.7.2, which he's
deriving here, he has no 2, but he's kept that nice Na factor.
Na is the doping density, which is a huge number, like 10^17 /cm^3
(see page 247, 266, etc), to go with q = 1.6 x 10^-19.
BTW, Prof. Van Zeghbroeck's 2002 Acrobat .pdf version (page 283)
fixes the missing n in 7.7.1, but it still has the other errors.
When evaluating a power MOSFET, we don't know all the terms in
equation 7.7.2 (the math on page 271 has some typical values),
but it's clear n must be greater than 1, as Kevin asserted.
The (Vg - Vth) term in 7.7.1 makes little sense to me, because
we're below the threshold-voltage Vth anyway, so why bother with
that? One can use Vg by itself, and adjust the proportionality
term, Ix, in front of the exponent. In our case modeling power
MOSFETs, it's all empirical anyway, fitting measured bench data.