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Laboratory Manual - King Fahd University of Petroleum and Minerals

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where R R 1<br />

// R 2<br />

// r <strong>and</strong> '<br />

in B B 1<br />

RL<br />

RL<br />

// RC1<br />

2. The low frequency pole can be approximated by the pole due to the capacitor<br />

assoiciated with the lowest resistance namely C E :<br />

1<br />

wL<br />

<br />

(2)<br />

r<br />

RS<br />

// RB<br />

1<br />

// RB2<br />

CE<br />

( RE1<br />

//<br />

)<br />

1<br />

<br />

3. The high frequency pole can be approximated by the pole due to input capacitance<br />

which becomes significantly large because <strong>of</strong> miller’s capacitance C eq = C '<br />

(1 g R m<br />

)<br />

1 eq in s 1<br />

m L in s<br />

1 L<br />

:<br />

1<br />

1<br />

wH<br />

<br />

(3)<br />

'<br />

[ C C ] R // R C g R ( R // R )<br />

'<br />

Where g m RL<br />

represents the voltage gain between the two terminals <strong>of</strong> C μ1 (i.e. the gain<br />

between the collector <strong>and</strong> base <strong>of</strong> Q1). Since R L is connected at the collector <strong>of</strong> Q1,<br />

changing its value will directly alter both A M <strong>and</strong> ω H . In order to maintain almost constant<br />

gain <strong>and</strong> hence constant b<strong>and</strong>width a buffer stage or common-collector (CC) amplifier<br />

can be used to isolate the load from the basic CE amplifier or C μ1 as shown in Figure 2.<br />

Now the input resistance <strong>of</strong> the CC amplifier (R in2 ) will act as the new load derived by<br />

the collector <strong>of</strong> Q1. The input resistance <strong>of</strong> Q2 is slightly dependent on R L <strong>and</strong> hence<br />

changing R L will lead to small variation in the gain <strong>and</strong> ω H . In other words, since the CC<br />

amplifier has a relatively small output resistance which can derive various loads while<br />

maintaining almost constant gain. Keeping the gain almost constant will also results in<br />

constant b<strong>and</strong>width. Also, note that since CC amplifier has usually much larger<br />

b<strong>and</strong>width than that <strong>of</strong> the CE amplifier, the overall b<strong>and</strong>width <strong>of</strong> the multistage<br />

amplifier will mainly be decided by the poles <strong>of</strong> CE amplifier.<br />

+<br />

5V<br />

-<br />

R Sig<br />

Vsig<br />

Vcc<br />

1k<br />

C 1<br />

1<br />

R B1<br />

R C1 4.3k<br />

30k<br />

C 2<br />

Q1<br />

1<br />

2N3904<br />

R B2 10k<br />

R E1 1.3k<br />

C E<br />

R B3<br />

R B4<br />

47<br />

30k<br />

10k<br />

4.3k<br />

R E2<br />

2N3904<br />

1<br />

C 3<br />

1.3k 100k R L<br />

V out<br />

Figure 2: Common Emitter amplifier with Buffer<br />

With the buffer connected the midb<strong>and</strong> the various parameters become:<br />

v<br />

o<br />

Rin<br />

''<br />

1. A M<br />

g<br />

mRL<br />

ABuffer<br />

(4)<br />

v R R<br />

sig<br />

sig<br />

in<br />

23

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