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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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Complex Feedback Networks<br />

portion of <strong>the</strong> <strong>in</strong>put signal, it rejects <strong>the</strong> common-mode portion of <strong>the</strong> <strong>in</strong>put signal. A common-mode<br />

signal is illustrated <strong>in</strong> Figure 3–6. Because <strong>the</strong> differential amplifier strips off<br />

or rejects <strong>the</strong> common-mode signal, this circuit configuration is often employed to strip<br />

dc or <strong>in</strong>jected common-mode noise off a signal.<br />

V1<br />

VCM<br />

Figure 3–6. Differential Amplifier With Common-Mode Input Signal<br />

RG<br />

V2<br />

RG<br />

RF<br />

+<br />

_<br />

RF<br />

VOUT<br />

<strong>The</strong> disadvantage of this circuit is that <strong>the</strong> two <strong>in</strong>put impedances cannot be matched when<br />

it functions as a differential amplifier, thus <strong>the</strong>re are two and three op amp versions of this<br />

circuit specially designed for high performance applications requir<strong>in</strong>g matched <strong>in</strong>put impedances.<br />

3.6 Complex Feedback Networks<br />

When complex networks are put <strong>in</strong>to <strong>the</strong> feedback loop, <strong>the</strong> circuits get harder to analyze<br />

because <strong>the</strong> simple ga<strong>in</strong> equations cannot be used. <strong>The</strong> usual technique is to write and<br />

solve node or loop equations. <strong>The</strong>re is only one <strong>in</strong>put voltage, so superposition is not of<br />

any use, but <strong>The</strong>ven<strong>in</strong>’s <strong>the</strong>orem can be used as is shown <strong>in</strong> <strong>the</strong> example problem given<br />

below.<br />

Sometimes it is desirable to have a low resistance path to ground <strong>in</strong> <strong>the</strong> feedback loop.<br />

Standard <strong>in</strong>vert<strong>in</strong>g op amps can not do this when <strong>the</strong> driv<strong>in</strong>g circuit sets <strong>the</strong> <strong>in</strong>put resistor<br />

value, and <strong>the</strong> ga<strong>in</strong> specification sets <strong>the</strong> feedback resistor value. Insert<strong>in</strong>g a T network<br />

<strong>in</strong> <strong>the</strong> feedback loop (FIgure 3–7) yields a degree of freedom that enables both specifications<br />

to be met with a low dc resistance path <strong>in</strong> <strong>the</strong> feedback loop.<br />

VIN<br />

Figure 3–7. T Network <strong>in</strong> Feedback Loop<br />

R1<br />

_<br />

R2<br />

a<br />

+<br />

X<br />

Y<br />

R4 R3<br />

VOUT<br />

Development of <strong>the</strong> Ideal <strong>Op</strong> Amp Equations<br />

3-7

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