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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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Invert<strong>in</strong>g <strong>Op</strong> Amps<br />

6-6<br />

comparison also shows that <strong>the</strong> open loop ga<strong>in</strong>, A, is equal to <strong>the</strong> op amp open loop ga<strong>in</strong>,<br />

a, for <strong>the</strong> non<strong>in</strong>vert<strong>in</strong>g circuit.<br />

A aZ G<br />

Z G Z F<br />

(6–13)<br />

Equation 6–13 is also derived with <strong>the</strong> aid of Figure 6–4, which shows <strong>the</strong> open loop non<strong>in</strong>vert<strong>in</strong>g<br />

op amp.<br />

VTEST<br />

Figure 6–4. <strong>Op</strong>en Loop Non<strong>in</strong>vert<strong>in</strong>g <strong>Op</strong> Amp<br />

+<br />

_ a<br />

VRETURN<br />

ZF<br />

ZG<br />

aVTEST<br />

<strong>The</strong> test voltage, V TEST, is multiplied by <strong>the</strong> op amp open loop ga<strong>in</strong> to obta<strong>in</strong> <strong>the</strong> op amp<br />

output voltage, aV TEST. <strong>The</strong> voltage divider rule is used to calculate Equation 6–15, which<br />

is identical to Equation 6–14 after some algebraic manipulation.<br />

6.4 Invert<strong>in</strong>g <strong>Op</strong> Amps<br />

V RETURN aV TEST Z G<br />

Z F Z G<br />

V RETURN<br />

V TEST<br />

A aZ G<br />

Z F Z G<br />

(6–14)<br />

(6–15)<br />

<strong>The</strong> <strong>in</strong>vert<strong>in</strong>g op amp circuit is shown <strong>in</strong> Figure 6–5. <strong>The</strong> dummy variable (V A) is <strong>in</strong>serted<br />

to make <strong>the</strong> calculations easier, and a is <strong>the</strong> op amp open loop ga<strong>in</strong>.<br />

Figure 6–5. Invert<strong>in</strong>g <strong>Op</strong> Amp<br />

VIN<br />

ZG<br />

VA<br />

+<br />

_ a<br />

IB<br />

ZF<br />

VOUT

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