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"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10

"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10

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Transducer to ADC Analog Interface<br />

18-14<br />

(see Figure 18–8), so its output voltage sw<strong>in</strong>g is renamed V IN, and <strong>the</strong> ADC is connected<br />

to <strong>the</strong> output of <strong>the</strong> amplifier, so its <strong>in</strong>put voltage range is renamed V OUT. Now, two data<br />

po<strong>in</strong>ts are constructed as V IN1 = 0.2 V @ V OUT1 = 1.5 V and V IN2 = 0.5 V @ V OUT2 = 4.5 V.<br />

<strong>The</strong> data po<strong>in</strong>ts are substituted <strong>in</strong>to <strong>the</strong> equation Y = mX + b; m is named <strong>the</strong> slope and<br />

b is named <strong>the</strong> X axis <strong>in</strong>tercept or just <strong>the</strong> <strong>in</strong>tercept for short. Don’t worry about <strong>the</strong> sign<br />

of m or b because it is determ<strong>in</strong>ed by <strong>the</strong> math, and it is substituted <strong>in</strong>to <strong>the</strong> equation that<br />

determ<strong>in</strong>es <strong>the</strong> transfer equation. <strong>The</strong> simultaneous equations are given below.<br />

Transducer Amplifier ADC<br />

Figure 18–8. Data Acquisition System<br />

1.5 0.2m b<br />

4.5 0.5m b<br />

Digital<br />

Output<br />

(18–9)<br />

(18–<strong>10</strong>)<br />

From <strong>the</strong>se equations we f<strong>in</strong>d that b = –0.5 and m = <strong>10</strong>. <strong>The</strong> slope and <strong>in</strong>tercept values<br />

are substituted <strong>in</strong>to Equation 18–8 to get Equation 8–11.<br />

Y <strong>10</strong>X 0.5<br />

(18–11)<br />

<strong>The</strong> ma<strong>the</strong>matical term<strong>in</strong>ology <strong>in</strong> Equation 18–11 is replaced by electronics term<strong>in</strong>ology<br />

<strong>in</strong> Equation 18–12, and this is <strong>the</strong> transfer function required for <strong>the</strong> amplifier. <strong>The</strong> next step<br />

is to select <strong>the</strong> op amp, and this isn’t a hard task because <strong>the</strong>re are many candidates that<br />

could do <strong>the</strong> job with <strong>the</strong>se undemand<strong>in</strong>g specifications, so let us not dwell on <strong>the</strong> selection<br />

process. Assume that <strong>the</strong> selected op amp operates on a 5-V power supply, can drive<br />

<strong>the</strong> ADC <strong>in</strong>put resistance of 20 kΩ with no voltage divider action, and that <strong>the</strong> op amp <strong>in</strong>put<br />

impedance is so big that it doesn’t load <strong>the</strong> transducer.<br />

V OUT <strong>10</strong>V IN 0.5<br />

<strong>The</strong> circuit that produces <strong>the</strong> desired transfer function is given <strong>in</strong> Figure 18–9.<br />

(18–12)

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