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On 2024-06-09 21:43, Phil Hobbs wrote:On 2024-06-09 20:55, JM wrote:Bill was kind enough to send me a copy (thanks again, Bill), and rightOn Mon, 10 Jun 2024 00:29:17 -0000 (UTC), Phil Hobbs
<pcdhSpamMeSenseless@electrooptical.net> wrote:
>JM <sunaecoNoSpam@gmail.com> wrote:On Sun, 9 Jun 2024 18:09:24 -0000 (UTC), Phil Hobbs>
<pcdhSpamMeSenseless@electrooptical.net> wrote:
>Jeroen Belleman <jeroen@nospam.please> wrote:>On 6/9/24 19:02, ehsjr wrote:>On 6/7/2024 9:14 PM, JM wrote:>A collection of monographs on high accuracy electronics written>
by Mr.
Chris Daykin, following his career predominantly in metrology.
>
Unfortunately Chris will be unable to complete the unfinished
monographs (having started end of life care) but there is plenty of
interest to any analogue engineer.
>
https://1drv.ms/b/c/1af24d72a509cd48/EZhO_rP5-glDmxtc4ZHycvYBhrsqmyC5tuZjt2NFFsS0gQ?e=Wq2Yj0
>
>
Thanks!
Ed
I have an issue with his definition of resistor noise power
as the product of open-circuit noise voltage and short-circuit
current. That makes no sense.
>
There's more than that, probably, but that just jumped out at
me.
>
Jeroen Belleman
>
It?s four times too high, for a start.
>
Cheers
>
Phil Hobbs
"It is shown elsewhere [1] that the noise power is four times the heat
energy which would flow down the conductors
from a warm source resistor to a matching cold resistor."
>
Which, if true, would solve all our energy problems, except that
thermodynamic systems would all be unstable.
>
The thermal noise power produced by a resistor into a matched load is kT
per hertz.>But apparently he says that it's four times larger than that.
Sure, which is what he states. By mentioning a hot and cold resistor
he makes it clear that net energy flow is from hot to cold, and that
the T refers to the hot source.
>
I'm not making a microsoft account just to download the PDF, so if you
want to discuss it further, you could email it to me.
Cheers
Phil Hobbs
there on P. 374, the author says,
>
Pn = 4kTB
>
which is a factor of four too high.
>
Twenty years ago I posted a brief derivation of the Johnson noise
formula in the thread "thermal noise in resistors - Baffled!", as
follows (with a couple of typos fixed).
>One good way of deriving the Johnson noise formula (the sqrt(4kT) thing)Cheers
is from classical equipartition of energy. The stored energy in a
capacitor is a single classical degree of freedom, and hence (when
connected to a thermal reservoir, e.g. connected in parallel with a
resistor at temperature T) has a mean energy of kT/2, and since the
energy is CV**2/2, its rms noise voltage is sqrt(kT/C).
The noise bandwidth of a one-pole RC lowpass is (pi/2)*(3 dB BW) =
1/(4RC). Therefore, the noise power spectral density in the flatband is
p_N=(kT/2C)*(4RC) per hertz,
so setting p_N=C(e_N)**2/2, we get
(e_N)**2 = kT*4R
and
e_N = sqrt(4kTR) per root hertz.
This is the same noise that correlated double sampling in CCDs was
designed to deal with. The advantage of this way of looking at it is
that the resistor doesn't have to be linear--CMOS reset switches behave
the same way.
>
Phil Hobbs
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