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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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Review of Circuit <strong>The</strong>ory<br />

Transistor Amplifier<br />

2 V (from 8 V to <strong>10</strong> V) <strong>the</strong>re is still enough voltage dropped across R C to keep <strong>the</strong> transistor<br />

on. Set <strong>the</strong> collector-emitter voltage at 4 V; when <strong>the</strong> collector voltage sw<strong>in</strong>gs negative<br />

2 V (from 8 V to 6 V) <strong>the</strong> transistor still has 2 V across it, so it stays l<strong>in</strong>ear. This sets <strong>the</strong><br />

emitter voltage (V E) at 4 V.<br />

R C V 12 V C<br />

I C<br />

R E R E1 R E2 V E<br />

I E<br />

<br />

12 V 8V<br />

<strong>10</strong> mA<br />

400 <br />

VE <br />

IB IC VE <br />

IC 4V<br />

400 <br />

<strong>10</strong> mA<br />

Use <strong>The</strong>ven<strong>in</strong>’s equivalent circuit to calculate R 1 and R 2 as shown <strong>in</strong> Figure 2–16.<br />

R2<br />

12<br />

R1 + R2<br />

R1 || R2<br />

Figure 2–16. <strong>The</strong>ven<strong>in</strong> Equivalent of <strong>the</strong> Base Circuit<br />

I B I C<br />

<br />

<strong>10</strong> mA<br />

<strong>10</strong>0<br />

V TH 12R 2<br />

R 1 R 2<br />

R TH R 1 R 2<br />

R 1 R 2<br />

IB<br />

0.1 mA<br />

VB = 4.6 V<br />

(2–30)<br />

(2–31)<br />

(2–32)<br />

(2–33)<br />

(2–34)<br />

We want <strong>the</strong> base voltage to be 4.6 V because <strong>the</strong> emitter voltage is <strong>the</strong>n 4 V. Assume<br />

a voltage drop of 0.4 V across R TH, so Equation 2–35 can be written. <strong>The</strong> drop across R TH<br />

may not be exactly 0.4 V because of beta variations, but a few hundred mV does not matter<br />

is this design. Now, calculate <strong>the</strong> ratio of R 1 and R 2 us<strong>in</strong>g <strong>the</strong> voltage divider rule (<strong>the</strong><br />

load current has been accounted for).<br />

RTH 0.4<br />

k 4k<br />

0.1<br />

VTH IBRTh VB 0.4 4.6 5 12<br />

R1 R2 R 2 7<br />

5 R 1<br />

R 2<br />

(2–35)<br />

(2–36)<br />

(2–37)<br />

R 1 is almost equal to R 2, thus select<strong>in</strong>g R 1 as twice <strong>the</strong> <strong>The</strong>ven<strong>in</strong> resistance yields approximately<br />

4 K as shown <strong>in</strong> Equation 2–35. Hence, R 1 = 11.2 k and R 2 = 8 k. <strong>The</strong> ac ga<strong>in</strong> is<br />

2-11

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