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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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DAC to Actuator Analog Interface<br />

is to term<strong>in</strong>ate <strong>the</strong> DAC output <strong>in</strong> a resistor that converts current <strong>in</strong>to voltage, and <strong>the</strong>n<br />

level shift and amplify <strong>the</strong> term<strong>in</strong>ated voltage. <strong>The</strong> circuit that performs this function is<br />

shown <strong>in</strong> Figure 18–12.<br />

VREF<br />

+VCC<br />

I<br />

RT<br />

RG<br />

+VCC<br />

Figure 18–12. DAC Current Source to Actuator Interface Circuit<br />

+<br />

_<br />

RF<br />

VOUT<br />

<strong>The</strong> DAC output current sources from IOUT(ZEROS) = 1 mA to IOUT(ONES) = 2 mA at an output<br />

compliance of 4.33 V. <strong>The</strong> actuator requires an <strong>in</strong>put voltage sw<strong>in</strong>g of VIN1 = 1 V to<br />

VIN2 = 4 V to drive it, and its <strong>in</strong>put resistance is <strong>10</strong>0 kΩ. <strong>The</strong> system specifications <strong>in</strong>clude<br />

one 5-V power supply and 5% resistors. <strong>The</strong> DAC is connected to <strong>in</strong>put of <strong>the</strong> amplifier<br />

(see Figure 18–11), so its output current sw<strong>in</strong>g is renamed IIN, and <strong>the</strong> actuator is connected<br />

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

data po<strong>in</strong>ts are constructed as IIN1 = 1 mA @ VOUT1 = 1 V and IIN2 = 2 mA @ VOUT2 =<br />

4 V. <strong>The</strong> data po<strong>in</strong>ts are substituted <strong>in</strong>to <strong>the</strong> Equation 18–20. 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 />

V (18–20)<br />

OUT mIIN b<br />

1 m b<br />

4 2m b<br />

Design<strong>in</strong>g Low-Voltage <strong>Op</strong> Amp Circuits<br />

(18–21)<br />

(18–22)<br />

From <strong>the</strong>se equations we f<strong>in</strong>d that b = –2 and m = 3. <strong>The</strong> slope and <strong>in</strong>tercept values are<br />

substituted <strong>in</strong>to Equation 18–20 to get Equation 18–23.<br />

V (18–23)<br />

OUT 3IIN 2<br />

<strong>The</strong> equation for <strong>the</strong> circuit shown <strong>in</strong> Figure 18–12 is derived with <strong>the</strong> aid of superposition,<br />

and it is given below <strong>in</strong> Equation 18–24.<br />

V OUT I IN R T1 R F<br />

RF V<br />

R REF<br />

G RG (18–24)<br />

Compar<strong>in</strong>g terms between Equations 18–20 and 18–24 enables <strong>the</strong> extraction of m<br />

and b.<br />

18-17

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