ELG 3136 HW9

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3136

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Electrical Engineering

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Jan 9, 2024

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ELG3136 Fall 2023 Assignment 9 Posting Date: Saturday Nov 13, 2023 General instructions 1. Your equations and solutions may be hand-written, scanned into a PDF format. 2. A typed solution, with all relevant circuit diagrams drawn with VISIO (or other software), will be given a bonus mark of up to 10% the full mark 3. Once you have a PDF file for your entire assignment you can upload it to your account on the Brightspace. 4. Only one PDF file will be accepted.
ELG3136 - Fall 2023 Assignment 9 The cascode amplifier circuit shown in Figure 2 below 1 , has the following parameters. Figure 1 Specifications of the circuit shown below. Figure 2 Circuit Schematic Your tasks. 1. You will need construct the circuit the circuit in MultiSim. Note that the MultiSim circuit has been provided as the solution to assignment 3. 2. Use MultiSim to extract the numerical values of the poles and zeros of the voltage gain transfer function. 3. Use the AC sweep simulation function in MultiSim to run frequency analysis of the amplifier and graph the Bode plot for the voltage gain as function of frequency. 1 Note that this circuit is the same circuit that was used in the previous assignments (Assignments 2 & 3).
Your Deliverables 1. A PDF report file: MUST include at least a screenshot of the circuit schematic taken from MultiSim showing the full simulation results captured in one shot. 2. The circuit schematic file (.ms14) in MultiSim Your Grade Your mark will be evaluated based on how your PDF report addresses the following questions. 1. (5 points) Is the circuit shown in the PDF file (the screenshot) the same as your schematic file (.ms14)? 2. (20 points) Does the PDF report show the numerical values of the poles/zeros in tabulated form? 3. (5 points) Does the number of the poles/zeros match the correct number of poles/zeros? 4. (5 points) Do the numerical values of the poles/zeros match the correct values. 5. (20 points) Does the report show the Bode Plot obtained from the AC frequency sweep. 6. (15 points) Do you highlight the mid-frequency voltage gain and correlate it with the analysis and simulation results from the past assignments. 7. (30 points) Do you clearly explain the relation between the locations of the poles/zeros and the behavior of the Bode plot in light of your understanding of the lectures.
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Recommendations for the simulations configuring the transistor models: Set CBD and CBS to 1n F, for both transistors, as shown below. This will set the parasitic capacitors to unified values.
Configuring the Pole/Zero Analysis Use the panel below to as a guiding to set up the pole/zero analysis of the circuit.
Configuring the AC sweep: Set the parameters for the AC sweep (which is used to run the frequency analysis) as shown in the panel below. This will let you see the frequency behavior from extremely low frequencies approaching the DC value to very high frequencies around the THz. See the graph below for the magnitude and phase of the voltage gain.
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In the output tab, select the voltage at the output node, similar to what is shown below.
Solution of Assignment 9
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The Setup for Pole/Zero Analysis
Results of Pole/Zero Analysis 4 poles and 3 zeros The voltage gain transfer function has 2 zeros are located at the zero frequency. All poles and zeros are real (no imaginary values)
The Setup for the AC Sweep to find the frequency response.
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Results of AC sweep Decade of frequency
Analysis of the AC Sweep
2 Zeros located at the zero frequency causing the gain to start rising at 40 dB/decade
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Pole(4): “bends” the plot to make it rise at 20 db/decade
Pole (3): This one causes the gain flatten out (now it is 0 dB/decade) The voltage gain in the mid-frequency band is 100 dB. Note that Therefore,
Pole (1) and pole(2) : Two almost equal poles in the kHz range (very close to each other) that cause the gain to drop the rate of -40 dB/decade
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Zero (1) : This is in the MHz range. It causes the drop in the voltage gain to slow down from -40 db/decade to only -20/decade