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

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Current-Feedback <strong>Op</strong> Amp Analysis<br />

<strong>The</strong> Non<strong>in</strong>vert<strong>in</strong>g CFA<br />

output impedance have been deleted from <strong>the</strong> circuit to simplify calculations. This approximation<br />

is valid for almost all applications.<br />

Figure 8–3. Stability Analysis Circuit<br />

I2<br />

+ ZF<br />

I1<br />

VTI ZG ZB I1Z<br />

VOUT = VTO<br />

<strong>The</strong> transfer equation is given <strong>in</strong> Equation 8–1, and <strong>the</strong> Kirchoff”s law is used to write<br />

Equations 8–2 and 8–3.<br />

V TO I 1 Z<br />

V TI I 2 Z F Z G Z B <br />

I 2 Z G Z B I 1 Z B<br />

Equations 8–2 and 8–3 are comb<strong>in</strong>ed to yield Equation 8–4.<br />

V TI I 1 Z F Z G Z B 1 Z B<br />

Z G I 1 Z F1 Z B<br />

Z F Z G<br />

(8–1)<br />

(8–2)<br />

(8–3)<br />

(8–4)<br />

Divid<strong>in</strong>g Equation 8–1 by Equation 8–4 yields Equation 8–5, and this is <strong>the</strong> open loop<br />

transfer equation. This equation is commonly known as <strong>the</strong> loop ga<strong>in</strong>.<br />

A V TO<br />

V TI<br />

8.4 <strong>The</strong> Non<strong>in</strong>vert<strong>in</strong>g CFA<br />

<br />

Z<br />

ZF1 ZB ZFZG (8–5)<br />

<strong>The</strong> closed-loop ga<strong>in</strong> equation for <strong>the</strong> non<strong>in</strong>vert<strong>in</strong>g CFA is developed with <strong>the</strong> aid of Figure<br />

8–4, where external ga<strong>in</strong> sett<strong>in</strong>g resistors have been added to <strong>the</strong> circuit. <strong>The</strong> buffers are<br />

shown <strong>in</strong> Figure 8–4, but because <strong>the</strong>ir ga<strong>in</strong>s equal one and <strong>the</strong>y are <strong>in</strong>cluded with<strong>in</strong> <strong>the</strong><br />

feedback loop, <strong>the</strong> buffer ga<strong>in</strong> does not enter <strong>in</strong>to <strong>the</strong> calculations.<br />

8-3

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