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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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3.2 <strong>The</strong> Non<strong>in</strong>vert<strong>in</strong>g <strong>Op</strong> Amp<br />

<strong>The</strong> Non<strong>in</strong>vert<strong>in</strong>g <strong>Op</strong> Amp<br />

<strong>The</strong> non<strong>in</strong>vert<strong>in</strong>g op amp has <strong>the</strong> <strong>in</strong>put signal connected to its non<strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put (Figure<br />

3–2), thus its <strong>in</strong>put source sees an <strong>in</strong>f<strong>in</strong>ite impedance. <strong>The</strong>re is no <strong>in</strong>put offset voltage because<br />

V OS = V E = 0, hence <strong>the</strong> negative <strong>in</strong>put must be at <strong>the</strong> same voltage as <strong>the</strong> positive<br />

<strong>in</strong>put. <strong>The</strong> op amp output drives current <strong>in</strong>to R F until <strong>the</strong> negative <strong>in</strong>put is at <strong>the</strong> voltage,<br />

V IN. This action causes V IN to appear across R G.<br />

VIN<br />

Figure 3–2. <strong>The</strong> Non<strong>in</strong>vert<strong>in</strong>g <strong>Op</strong> Amp<br />

IB = 0<br />

VE<br />

VIN<br />

+<br />

a<br />

_<br />

RF<br />

RG<br />

VOUT<br />

<strong>The</strong> voltage divider rule is used to calculate V IN; V OUT is <strong>the</strong> <strong>in</strong>put to <strong>the</strong> voltage divider,<br />

and V IN is <strong>the</strong> output of <strong>the</strong> voltage divider. S<strong>in</strong>ce no current can flow <strong>in</strong>to ei<strong>the</strong>r op amp<br />

lead, use of <strong>the</strong> voltage divider rule is allowed. Equation 3–1 is written with <strong>the</strong> aid of <strong>the</strong><br />

voltage divider rule, and algebraic manipulation yields Equation 3–2 <strong>in</strong> <strong>the</strong> form of a ga<strong>in</strong><br />

parameter.<br />

V IN V OUT<br />

V OUT<br />

V IN<br />

R G<br />

R G R F<br />

R G R F<br />

R G<br />

1 R F<br />

R G<br />

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

(3–1)<br />

(3–2)<br />

When R G becomes very large with respect to R F, (R F/R G)⇒0 and Equation 3–2 reduces<br />

to Equation 3–3.<br />

V OUT 1<br />

(3–3)<br />

Under <strong>the</strong>se conditions V OUT = 1 and <strong>the</strong> circuit becomes a unity ga<strong>in</strong> buffer. R G is usually<br />

deleted to achieve <strong>the</strong> same results, and when R G is deleted, R F can also be deleted (RF<br />

must be shorted when it is deleted). When R F and R G are deleted, <strong>the</strong> op amp output is<br />

connected to its <strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put with a wire. Some op amps are self-destructive when R F<br />

is left out of <strong>the</strong> circuit, so R F is used <strong>in</strong> many buffer designs. When R F is <strong>in</strong>cluded <strong>in</strong> a<br />

buffer circuit, its function is to protect <strong>the</strong> <strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put from an over voltage to limit <strong>the</strong><br />

current through <strong>the</strong> <strong>in</strong>put ESD (electro-static discharge) structure (typically < 1 mA), and<br />

it can have almost any value (20 k is often used). R F can never be left out of <strong>the</strong> circuit<br />

3-3

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