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ELEC 271

Second Semester Examinations 2020-21

ELECTRONIC CIRCUITS AND SYSTEMS

1.

a)

Draw the small-signal equivalent circuit for a bipolar transistor, labelling clearly the parameters.  Work out values for the parameters, gm, rce and rbe (the parameters have their usual meaning). The DC collector current is 0.5 mA; ac current gain, βo is 150 and the Early voltage, VA is 120 V.

5

b)

Figure Q1b shows a transistor amplifier circuit in which the quiescent DC collector current is 1 mA. Assuming that rce may be neglected, calculate the voltage gain vo/vi. What is the application for this circuit?

5

Figure Q1b

c)

Figure Q1c) shows an amplifier system. The source has low internal impedance and the load has a small resistance. Choose a suitable generic amplifier type to ensure good matching between source and load.  Hence sketch a systems diagram with appropriate equivalent circuits for the source (Thevenin or Norton) and generic amplifier type.

Figure Q1c

5


d)

Figure Q1d shows a schematic diagram of a feedback amplifier with bias components and coupling capacitors omitted for clarity.  Identify the feedback topology and the amplifier type. Hence write down an expression for the feedback fraction, β.

5

Figure Q1d

e)

State the advantages and disadvantages of negative feedback.

5

Total

25


2

a)

Draw the ac equivalent circuit of a MOSFET common source amplifier at high frequency.  Hence derive an expression for the gain-bandwidth product, fT.  Explain any assumptions made.

5

b)

Figure Q2b shows a common emitter amplifier with emitter degradation.  Calculate the dc collector current required to produce an ac input resistance of 100 kΩ,

Take the value of RE from the cover sheet, and the ac current gain of the transistor as βo = 150.

Figure Q2b

5

c)

Figure Q2c) shows an amplifier system. The source has low internal impedance and the load has a large resistance. Choose a suitable generic amplifier type to ensure good matching between source and load.  Hence sketch a systems diagram with appropriate equivalent circuits for the source (Thevenin or Norton) and generic amplifier type.

Figure Q2c

5


d

Figure Q2d shows a schematic diagram of a feedback amplifier with bias components and coupling capacitors omitted for clarity.  Identify the feedback topology and the amplifier type. Hence calculate the feedback fraction, β.

5

Figure Q2d

e)

How would you design a near ideal voltage amplifier incorporating negative feedback?  What would be the advantages and disadvantages of your design compared to a voltage amplifier without negative feedback?

5

Total

25

3.

a)

Compare and contrast the use of bipolar and MOSFET transistors in analogue circuits.

5

b)

Figure Q3b shows a two-stage voltage amplifier with bias components, coupling and DC blocking capacitors omitted for clarity.

Figure Q3b

You are required to design the amplifier to achieve an input resistance, Ri = value given on cover sheet, and an overall voltage gain equal to or greater than 250, into a resistor output load, RL.  The common-emitter stage (T2) has bias current equal to 1.0 mA.

VCC = 20 V, βo = 150, RS = 10 kΩ and the DC levels of the first and second stage outputs need to be set at half the supply voltage. Allow 10% of VCC across RE.

Proceed as follows:

i)

Use the chain rule to show that the system voltage gain is given as:

2

ii)

Work out the bias current (IC1) and emitter resistor value to meet the input specification. Hence find the value of the collector resistor of the first stage.

6

iii)

iv)

Work out the gain of the first stage and hence find the required gain of the 2nd stage to meet the specification. Find also a value for RC2.

Find a minimum value of the load to achieve the required gain.

4

4

c)

Comment on the ‘quality’ of your voltage amplifier and suggest how it could be improved.

4

Total

25

4.

a)

Explain what is meant by the term ‘small signal equivalent circuit’. How is it used in electronics design?

5

In the circuit shown in figure Q4a, biasing components and coupling capacitors  have been omitted.  The collector currents in transistor T1, T2 are 0.1 mA, 0.5 mA respectively, while the collector current for T3 is given on the cover sheet. Calculate:-

b)

the transistor transconductance (gm) and emitter-base resistance (rbe) of each transistor.

3

c)

the voltage gain vo/vi ,

11

d)

the input resistance Ri,

2

e)

the output resistance Ro,

1

f)

Explain the role of each stage.

3

RE1 = 1 kW, RC2 = 10 kW, RC3 = 2 kW and RE3 = 200 W.

Assume rce and rb’c are infinite and rbb’ = 0. The a.c. current gain is bo = 100.


Figure Q4b