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

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Y mX b<br />

(12–14)<br />

Two pairs of data po<strong>in</strong>ts shown <strong>in</strong> Table 12–4 are substituted <strong>in</strong> Equation 12–14 mak<strong>in</strong>g<br />

Equations 12–15 and 12–16.<br />

4 0.4m b<br />

(12–15)<br />

0 0.65m b<br />

(12–16)<br />

Equation 12–15 is solved and substituted <strong>in</strong>to Equation 12–16 to obta<strong>in</strong> Equation 12–17.<br />

4 0.4 b<br />

(12–17)<br />

0.65 b<br />

Solv<strong>in</strong>g Equation 12–17 yields b = <strong>10</strong>.4, and solv<strong>in</strong>g Equation 12–15 yields m = –16. Substitut<strong>in</strong>g<br />

<strong>the</strong>se values back <strong>in</strong>to Equation 12–14 yields Equation 12–18, and Equation<br />

12–18 (<strong>the</strong> f<strong>in</strong>al equation for <strong>the</strong> AIA) is put <strong>in</strong> electronic term<strong>in</strong>ology.<br />

V (12–18)<br />

OUT 16VIN <strong>10</strong>.4<br />

<strong>The</strong> circuit that yields <strong>the</strong> transfer function developed <strong>in</strong> Equation 12–18 is shown <strong>in</strong> Figure<br />

12–13.<br />

VIN<br />

Figure 12–13. AIA Circuit<br />

RG<br />

VREF<br />

<strong>The</strong> equations for <strong>the</strong> AIA circuit are given below.<br />

R2<br />

R1<br />

_<br />

+<br />

RF<br />

VCC<br />

VOUT VIN RF V<br />

RG REF R1 R1 R2RF RG |m| R F<br />

R G<br />

b VREF R1 R1 R2RF RG R G<br />

R G<br />

<br />

VOUT<br />

(12–19)<br />

(12–20)<br />

(12–21)<br />

Equation 12–18 gives <strong>the</strong> value for m as 16, and us<strong>in</strong>g Equation 12–20 yields R F = 16R G.<br />

Select R F = 383 kΩ and R G = 23.7 kΩ because <strong>the</strong>y are standard 1% resistor values, and<br />

<br />

12-17

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