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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

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

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Summary<br />

8.11 Summary<br />

8-14<br />

A <br />

Z1 R F C F s<br />

R F1 R B<br />

R F R GR B R F R G C F C G s 1<br />

(8–33)<br />

If <strong>the</strong> zero and pole <strong>in</strong> Equation 8–33 are made to cancel each o<strong>the</strong>r, <strong>the</strong> only poles rema<strong>in</strong><strong>in</strong>g<br />

are <strong>in</strong> Z. Sett<strong>in</strong>g <strong>the</strong> pole and zero <strong>in</strong> Equation 8–33 equal yields Equation 8–34<br />

after some algebraic manipulation.<br />

R F C F C G R G R B <br />

(8–34)<br />

R B dom<strong>in</strong>ates <strong>the</strong> parallel comb<strong>in</strong>ation of R B and R G, so Equation 8–34 is reduced to<br />

Equation 8–35.<br />

R F C F R B C G<br />

(8–35)<br />

R B is an IC parameter, so it is dependent on <strong>the</strong> IC process. R B it is an important IC parameter,<br />

but it is not important enough to be monitored as a control variable dur<strong>in</strong>g <strong>the</strong><br />

manufactur<strong>in</strong>g process. R B has widely spread, unspecified parameters, thus depend<strong>in</strong>g<br />

on R B for compensation is risky. Ra<strong>the</strong>r, <strong>the</strong> prudent design eng<strong>in</strong>eer assures that <strong>the</strong> circuit<br />

will be stable for any reasonable value of R B, and that <strong>the</strong> result<strong>in</strong>g frequency response<br />

peak<strong>in</strong>g is acceptable.<br />

Constant ga<strong>in</strong>-bandwidth is not a limit<strong>in</strong>g criterion for <strong>the</strong> CFA, so <strong>the</strong> feedback resistor<br />

is adjusted for maximum performance. Stability is dependent on <strong>the</strong> feedback resistor;<br />

as R F is decreased, stability is decreased, and when R F goes to zero <strong>the</strong> circuit becomes<br />

unstable. As R F is <strong>in</strong>creased stability <strong>in</strong>creases, but <strong>the</strong> bandwidth decreases.<br />

<strong>The</strong> <strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put impedance is very high, but <strong>the</strong> non<strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put impedance is very<br />

low. This situation precludes CFAs from operation <strong>in</strong> <strong>the</strong> differential amplifier configuration.<br />

Stray capacitance on <strong>the</strong> <strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put node or across <strong>the</strong> feedback resistor always<br />

leads to peak<strong>in</strong>g, usually to r<strong>in</strong>g<strong>in</strong>g, and sometimes to oscillations. A prudent circuit designer<br />

scans <strong>the</strong> PC board layout for stray capacitances, and he elim<strong>in</strong>ates <strong>the</strong>m. Breadboard<strong>in</strong>g<br />

and lab test<strong>in</strong>g are a must with CFAs. <strong>The</strong> CFA performance can be improved<br />

immeasurably with a good layout, good decoupl<strong>in</strong>g capacitors, and low <strong>in</strong>ductance components.

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