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Negative Temperature Coefficient Thermistors for Temperature ...

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8 <strong>Thermistors</strong><br />

Error° K<br />

0.1<br />

0.05<br />

-0.05<br />

Error plot <strong>for</strong> the squareless model<br />

260 280 300 320 340<br />

T ° K<br />

Figure 5<br />

As the figure shows, the error introduced into our example by dropping the squared term is typically less than 0.1°C . For many<br />

applications this would be acceptable.<br />

Even the simplified model requires taking a logarithm to find the temperature. For certain applications, such as those restricted<br />

to integer math on a microcontroller, this is undesirable. If the accuracy requirements aren’t too high, the logarithm can be<br />

avoided with a polynomial approximation.<br />

The true temperature vs voltage equation <strong>for</strong> our example can be found by combining (9) with (3) it is<br />

1<br />

1 s r 1 s Exp A <br />

v B<br />

<br />

T C D<br />

<br />

T2 T3 Setting (s)=1, and graphing<br />

(18)

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