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Experiment 10 - Multistage Amplifiers

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<strong>Experiment</strong> <strong>10</strong> -<br />

<strong>Multistage</strong> <strong>Amplifiers</strong><br />

W.T. Yeung, J.C. Rudell, and R.T. Howe<br />

UC Berkeley EE <strong>10</strong>5<br />

1.0 Objective<br />

In Exps. 8 and 9, you found the small signal properties of single stage amplifiers (e.g.,<br />

Common Emitter, Common Collector, Common Drain, etc.) Now you will see how<br />

these single stage amplifiers perform together. By cascading the single stage devices,<br />

new amplifiers with enhanced performance can be realized. You will also study the<br />

effects of loading between stages.<br />

To show your understanding of the lab, your write-up should contain:<br />

• A discussion on how single stages interact together<br />

• A discussion on interstage loading based on 2-port models<br />

2.0 Prelab<br />

• H & S: Chapter 9<br />

• For the Cascode Circuit in figure 1, calculate the gain, input resistance and output<br />

resistance for a supply current of I SUP = 1 mA.<br />

(Use npn: β n = 80, V An = 50 V, - pnp: β p = 30, V Ap =15 V.)<br />

Given: the current-source supply in figure 1 has a small-signal resistance<br />

r oc = β p r op .<br />

1 of 5


Procedure<br />

FIGURE 1.<br />

Cascode Amplifier with Current Source Supply<br />

V CC<br />

I SUP<br />

<strong>10</strong>µF<br />

v OUT<br />

M3501<br />

250kΩ<br />

Q 2<br />

V BIAS<br />

1 MΩ<br />

v IN<br />

Q 1<br />

M3501<br />

3.0 Procedure<br />

3.1 The Cascode<br />

The Cascode circuit is nothing more than a Common Emitter - Common Base (or Common<br />

Source - Common Gate) cascade. Figure 1 above shows a simplified cascode with<br />

a current source load.<br />

The 2 port model for the cascode is shown below<br />

FIGURE 2.<br />

2-Port Representation of Cascode<br />

R in G m R out R in -i in2 R out<br />

R L<br />

Common Emitter Stage<br />

Common Base Stage<br />

2 of 5 <strong>Experiment</strong> <strong>10</strong> - <strong>Multistage</strong> <strong>Amplifiers</strong>


Procedure<br />

In your lab, the cascode circuit will include extra biasing circuits as shown in figure 3.<br />

These circuits make use of DC feedback (coupled through the external low-pass filter),<br />

in order to stabilize this high-gain circuit. After simplification, figure 3 reduces to the<br />

basic cascode amplifier in figure 1.<br />

1. Set up the circuit from Lab Chip 4 as shown in figure 3. Let R Bias be <strong>10</strong> kΩ.and C in<br />

be <strong>10</strong> µF. Let V CC be set at 5V. Note: The user just needs to furnish the external elements<br />

in the box. (the elements in the dashed “boxes” in figure 3).<br />

2. Determine the bias current and DC voltage at V OUT . Using figure 3, what are the<br />

maximum and minimum DC voltages that V OUT can swing to while keeping all the<br />

devices in the forward active region. Compare with measurements of output clipping<br />

levels.<br />

3. Using the oscilloscope, find the gain v out /v in . Use a 5 kHz sine wave with an amplitude<br />

of 200 mV. If the signal at the output is clipped, decrease the input amplitude<br />

until no clipping occurs.<br />

4. Calculate the input resistance and output resistance for the cascode. Using the calculated<br />

value of the input resistance, you can calculate how much of the input voltage<br />

is attenuated. Determine the gain of the cascode v out /v in . How does the cascode compare<br />

to the Common Emitter in terms of input resistance, output resistance and voltage<br />

gain? Optional: measure the input and the output resistances.<br />

FIGURE 3. Bipolar Cascode with DC Feedback Biasing (Lab Chip 4)<br />

Off-chip components: input signal, setting DC<br />

operating point of cascode<br />

VCC<br />

PIN 28<br />

Q 5 Q<br />

M3511<br />

6<br />

M3511<br />

I BIAS R Bias<br />

R 5<br />

M3511<br />

250Ω<br />

Q 4<br />

PIN 17<br />

v OUT R 4<br />

Q 7<br />

M3501<br />

R 250Ω<br />

S = 1 MΩ C<br />

PIN 16 v in<br />

in M3501<br />

M 9<br />

Q 3<br />

R<br />

R lp = 5MegΩ PIN 15<br />

v 3<br />

IN<br />

250Ω<br />

PIN 19<br />

M<br />

Q 2<br />

2 Q 1<br />

PIN 18<br />

M3501<br />

C<br />

R R 2 = 90kΩ<br />

1 = 90kΩ<br />

M3501<br />

lp = <strong>10</strong>u<br />

R 6 = 3.75kΩ<br />

GND<br />

PIN 14<br />

<strong>Experiment</strong> <strong>10</strong> - <strong>Multistage</strong> <strong>Amplifiers</strong> 3 of 5


Procedure<br />

Lab Tip<br />

Find the DC voltage at v OUT (PIN 17) and make sure that Q 3 and Q 4 are not saturated. If<br />

they are, get a new chip.The circuit takes about <strong>10</strong> - 20 seconds to stabilize. Be patient.<br />

5. Perform a SPICE analysis on the Cascode in figure 1 (figure 3 is extra credit) and<br />

compare your results with simulation.<br />

3.2 Cascading Stages<br />

1. While leaving the Cascode intact, build the common emitter as shown in figure 4.<br />

Set R BIAS (CEBIASP) to be a potentiometer and adjust it until the output is at 2.5V.<br />

(This is merely the same procedure as the common emitter circuit in Exp. 8.) Find<br />

the bias current through R BIAS . Does the DC voltage at V OUT confirm the fact that I C =<br />

I BIAS ? Find the gain of the Common Emitter.<br />

2. Now cascade the two stages together with the use of the <strong>10</strong> µF coupling capacitor.<br />

What is its function? (Hint: look at the DC voltage at both sides of the capacitor)<br />

What would happen if the capacitor were not present? Change the amplitude of the<br />

sinusoid to 50 mV.<br />

3. Find the gain for the cascade. Measure the gain v out1 / v in . Why is it reduced?<br />

FIGURE 4.<br />

Cascode - Common Emitter Cascade<br />

Lab Chip 4<br />

PIN 28<br />

V CC<br />

=<br />

5V<br />

PIN 28<br />

V CC = 5 V<br />

I SUP<br />

v OUT1<br />

PIN 26<br />

R C<br />

= <strong>10</strong>kΩ<br />

v OUT2<br />

PIN 25<br />

I C is controlled by<br />

R BIAS between CE_BIAS<br />

(PIN 27) and V CC .<br />

M3501<br />

Q 2<br />

PIN 17<br />

<strong>10</strong> µF<br />

v b<br />

Ground = PIN 14<br />

PIN 19<br />

V BIAS<br />

v in<br />

+ _<br />

v IN<br />

Q 1<br />

M3501<br />

Lab Chip 3<br />

4 of 5 <strong>Experiment</strong> <strong>10</strong> - <strong>Multistage</strong> <strong>Amplifiers</strong>


Optional <strong>Experiment</strong>s<br />

4. Draw the 2 port models for the cascaded amplifier in Fig. 4. Comment on the overall<br />

gain and the loading between stages.<br />

4.0 Optional <strong>Experiment</strong>s<br />

4.1 Common Collector as a Buffering Stage<br />

1. Leaving the cascode and common emitter circuit intact, we now insert a Common<br />

Collector as an intermediate stage between the Cascode and Common Emitter. Find<br />

the gain of this new circuit. For the Common Collector, set R BIAS = <strong>10</strong>0 kΩ. For measuring<br />

input attenuation, the source resistance may have to be increased over the<br />

value in figure 3. Lower the amplitude of the input sinusoid and reduce the source<br />

resistance as necessary to avoid clipping at the output.<br />

2. Draw the 2-port models for this Cascode-CC-CE configuration. Comment on the<br />

gain and the interstage loading.<br />

FIGURE 5. Common Collector (Emitter Follower) Voltage Buffer (Lab Chip 4)<br />

V CC<br />

=<br />

5V<br />

I BIAS is controlled by R BIAS<br />

between EF_BIAS (PIN 25)<br />

and V CC (PIN 28) on Lab<br />

Chip 4<br />

PIN 23<br />

v b<br />

PIN 24<br />

PIN 26<br />

(chip 3)<br />

R C<br />

=<br />

<strong>10</strong>kΩ<br />

v OUT<br />

PIN 25 (chip 3)<br />

I BIAS<br />

<strong>10</strong> µF<br />

v in3<br />

Ground = PIN 14<br />

<strong>Experiment</strong> <strong>10</strong> - <strong>Multistage</strong> <strong>Amplifiers</strong> 5 of 5

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