05.01.2015 Views

Op Amps for Everyone - The Repeater Builder's Technical ...

Op Amps for Everyone - The Repeater Builder's Technical ...

Op Amps for Everyone - The Repeater Builder's Technical ...

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

<strong>The</strong> Noninverting CFA<br />

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

is valid <strong>for</strong> almost all applications.<br />

I 2<br />

I 1<br />

+ Z F<br />

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

V OUT = V TO<br />

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

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

Equations 8–2 and 8–3.<br />

V TO<br />

I 1<br />

Z<br />

V TI<br />

I 2<br />

ZF Z G<br />

Z B<br />

<br />

I 2<br />

ZG Z B<br />

I1 Z B<br />

(8–1)<br />

(8–2)<br />

(8–3)<br />

Equations 8–2 and 8–3 are combined to yield Equation 8–4.<br />

V TI<br />

I 1<br />

ZF Z G<br />

Z B<br />

1 Z B<br />

Z G<br />

I 1<br />

Z F<br />

1 <br />

Z B<br />

Z F<br />

Z G<br />

<br />

(8–4)<br />

Dividing Equation 8–1 by Equation 8–4 yields Equation 8–5, and this is the open loop<br />

transfer equation. This equation is commonly known as the loop gain.<br />

A V TO<br />

V TI<br />

<br />

Z<br />

Z F<br />

1 <br />

Z B<br />

Z F<br />

Z G<br />

<br />

(8–5)<br />

8.4 <strong>The</strong> Noninverting CFA<br />

<strong>The</strong> closed-loop gain equation <strong>for</strong> the noninverting CFA is developed with the aid of Figure<br />

8–4, where external gain setting resistors have been added to the circuit. <strong>The</strong> buffers are<br />

shown in Figure 8–4, but because their gains equal one and they are included within the<br />

feedback loop, the buffer gain does not enter into the calculations.<br />

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

8-3

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!