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resistor tolerance

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Robin Clark 2013-03-10 06:07:29 +00:00
parent 4d55df3c05
commit f01e0af03f
2 changed files with 5 additions and 1 deletions
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4
submission_thesis/CH5_Examples/software.tex
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@ -225,7 +225,9 @@ Let us define any value outside the 4mA to 20mA range as an error condition.
As we read a voltage, we use Ohms law~\cite{aoe} to determine the mA current detected: $V=IR$, $0.004A * \ohms{220} = 0.88V$ As we read a voltage, we use Ohms law~\cite{aoe} to determine the mA current detected: $V=IR$, $0.004A * \ohms{220} = 0.88V$
and $0.020A * \ohms{220} = 4.4V$. and $0.020A * \ohms{220} = 4.4V$.
% %
Our acceptable voltage range is therefore Our acceptable voltage range\footnote{For the purpose of clarity we are ignoring resistor tolerance
for this example. In a practical {\ft} reader we would factor in resistor tolerance to the limits, or
allow `deadbands' of $\approx \half mA$ at either end of the range.} is therefore
$$(V \ge 0.88) \wedge (V \le 4.4) \; .$$ $$(V \ge 0.88) \wedge (V \le 4.4) \; .$$

2
submission_thesis/style.tex
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@ -55,6 +55,8 @@
\newcommand{\irl}{in~real~life} \newcommand{\irl}{in~real~life}
\newcommand{\enc}{\ensuremath{\stackrel{enc}{\longrightarrow}}} \newcommand{\enc}{\ensuremath{\stackrel{enc}{\longrightarrow}}}
\newcommand{\pin}{\ensuremath{\stackrel{pi}{\longleftrightarrow}}} \newcommand{\pin}{\ensuremath{\stackrel{pi}{\longleftrightarrow}}}
\newcommand{\half}{\ensuremath{\frac{1}{2}}}
% %
% OK after about 3 years its not rigorous FMEA (RFMEA) anymore, oh no, its Exhaustive FMEA % OK after about 3 years its not rigorous FMEA (RFMEA) anymore, oh no, its Exhaustive FMEA
% but since the fuckers might change it yet again, I am making this a macro. % but since the fuckers might change it yet again, I am making this a macro.