Determine the closed loop mid-band voltage gain

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Reference no: EM131667099

Analogue Electronics Assignment-

Question 1 -

Fig. 1 is a two stage amplifier with feedback. The source V_s has no dc component. Details of the small signal model parameters for the BJTs are given in the information sheet on pages 2-3.

(a) Identify the type of feedback topology employed in the amplifier of fig. 1. How would the feedback topology change if the output voltage were taken from the emitter node of Q2 rather than the collector node?

(b) Find the dc voltages at all nodes and the dc currents of Q1 and Q2.

(d) Determine the β of the feedback network.

(e) Hence, calculate the mid-band open loop gain of the amplifier.

(f) Determine the closed loop mid-band voltage gain (V_o/V_s) of the amplifier.

(g) Calculate the input and output resistances of the closed loop amplifier at mid-band.

(h) Output resistance seen at the output node, V_o.

(i) Estimate the bandwidth of the overall amplifier by calculating the upper 3dB frequency. [Hint: First calculate the upper 3dB of the open loop amplifier, then apply feedback theory]

Question 2 -

The circuit shown in Figure 2 is a pulse generator.

(a) In the quiescent state (i.e., before the trigger pulse is applied), find V₂, V_o, and V₁assuming all diodes (including zeners) are ideal.

(b) At time t = 0 a narrow, positive, trigger pulse V_t whose magnitude exceeds V_R is applied. At t = 0⁺, find Vc (Voltage across the capacitor) and V₁. {Hint: remember that the voltage across the capacitor cannot change instantaneously}

(c) Plot the waveform V_o and V_i as a function of time. Demonstrate that the circuit behaves as a monostable multivibrator with a pulse width T (to be derived later).

(d) Find V_o and V₁ at t = T⁺ and continue the waveforms until the steady state is reached. What is the recovery time constant? Is the diode ON or OFF?

(e) Show that T is given by T = RCln(2V_o/V_R).

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Reference no: EM131667099

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Reviews

len1667099

10/3/2017 2:42:34 AM

The assignment contains two problems and will be marked out of 100% with the first problem weighing 60%. The detailed marking rubric will be provided separately on Moodle. Attach an assignment coversheet available from the EE School Office website and submit to the assignment box on the side of the School of Electrical Engineering office by the above deadline. Please ensure that the pages of your assignment are securely fastened and take a photocopy of your assignment before submitting.

len1667099

10/3/2017 2:42:27 AM

Rubric for marking assignment II Q1 has 50% weight while Q2 has 50% and Marks for Q1 will be allocated as follows, Identifying correct feedback topologies - 4 marks, Justification for the feedback topologies why series/shunt at the input or output?) – 3 marks and Identifying the correct feedback networks – 3 marks. Calculate small signal parameters for transistors (rp1 , rp2, gm1, gm2 )– 1 marks. Correct calculations of two –port parameters for both feedback networks -2 marks. Correct small signal equivalent circuit after disabling both feedback networks – 3 marks. Correct calculations of open loop gain for each feedback topology – 2 marks and Correct calculations of closed loop gains – 2 marks.

len1667099

10/3/2017 2:42:21 AM

Small signal equivalent circuit after disabling both feedback networks. Showing the input and output impedances – 2 marks. Correct calculations of open loop input impedance -2 marks. Correct calculations of closed loop input impedance – 2 marks and Correct calculation of open loop output impedance – 2 marks and Correct calculations of closed loop output impedance – 2marks. Calculation of open loop upper 3dB frequency – 2marks and Calculation of closed loop upper 3dB frequency – 2marks.

len1667099

10/3/2017 2:42:15 AM

For each sub-questions ((a)-(e)), all workings should be clearly shown and included in your submission. Any assumption you will make should be explicitly stated and justified. Although approach will be given more importance, wrong numerical value will result in losing 0.5mark. Correct value (expression) of Vo and reason for the value (expression) – 2.5 marks. Correct value of V+ and reason for the value - 2.5 marks. Correct value of V- and reason for the value - 2.5 marks ? Assumption made should be explicitly stated – 2.5 marks. Approach for finding voltage across the capacitor and V1 – 6marks. Correct values of voltage across the capacitor and V1 - 4marks. Correct descriptions of waveforms and demonstrating monostability - 4marks.

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