Lab 5

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University of Michigan, Dearborn *

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ECE 311

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Electrical Engineering

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Feb 20, 2024

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ECE 311: Electronic Circuits 1 (Fall 2017) Lab 5 : MOSFETs By Kayleigh James (UMID: 81519321) December 1st, 2017 Fall 2017 Honor Code: I have neither given nor received unauthorized assistance on this graded report. X_____________________________________________________________________ Abstract
In this lab we studied the characteristics of MOSFETS including threshold voltage, output impedance, and I-V curves. We will also study MOSFET amplifiers. We will also measure the output impedances, input impedances, and operating points. Introduction and Background This lab experiment will consist of both a hardware and software section. In the simulation we will find Id-Vds and Id-Vgs curves of the MOSFET circuits. Once doing this, we will see the MOSFET used in both the common source and source follower amplifier configurations. Our findings in the software section of the lab will be compared to our measurements in the hardware portion of the lab.
Pre-Lab Questions and Answers
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Simulation Part I: Simple Mosfet Circuit Figure 1: Circuit schematic for MOSFET characteristic measurement. Vgs value was changed for each waveform measurement. Figure 2: Vgs = 0V waveform
Figure 3: Vgs = 1V Waveform Figure 4: Vgs = 2V Waveform V2 = Vgs = 0V V2 = Vgs = 1V V2 = Vgs = 2V
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Vds (V) Id (uA) Vds (V) Id (uA) Vds (V) Id (uA) 0 0 0 0 0 0 0.4 0.4 pA 0.4 6.4 0.4 14.4 0.8 0.8 pA 0.8 9.6 0.8 25.513 1.2 1.2 pA 1.2 10 1.2 33.561 1.6 1.6 pA 1.6 10 1.6 38.39 2 2.0 pA 2 10 2 40 3 3.0 pA 3 10 3 40 4 4.0 pA 4 10 4 40 Figure 5: MOSFET characteristic Id-Vds measurements Figure 6: MOSFET Id-Vds Curve
Vds = 10 V Vgs (V) Id (uA) -2 0 -1.5 0 -1 0 -0.5 0 0 0 0.5 2.4609 1 10.183 1.5 22.122 2 39.661 Figure 7: MOSFET characteristic Id-Vgs measurement table Figure 8: Mosfet Id-Vgs Curve Part II: Common-Source Amplifier
Figure 9: Circuit Schematic for Common-Source Amplifier (With Capacitor and RL) Figure 10: Waveform of Common-Source Amplifier (With Capacitor and RL)
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Figure 11: Circuit Schematic for Common-Source Amplifier (Without Capacitor and RL) Figure 12: Waveform of Common-Source Amplifier (Without Capacitor and RL)
Vg (peak) 200 mV Vi (peak) 109.012 mV Vo1 (with C1 and RL) 1.241 V Vo2 (w/o C1 and RL 16.525 V Figure 13: Common-Source Amplifier Measurements Parameter Description Equation Calculation Result Ii Input Current (Vg-Vi)/Rg 0.0017 mA Io Output Current Vo1/RL 0.1241 mA Ri Input Resistance R1//R2 72kΩ Ro Output Resistance Rd 1kΩ Avo Voltage Gain (w/o load) Vo2/Vi 151.59 Av Voltage Gain (with load) Vo1/Vi 11.384 Ai Current Gain Io/Ii 73 Ap Power Gain Ai*Av 831.032 Figure 14: List of Common-Source Amplifier Characteristics Part III: Source-Follower Amplifier:
Figure 15: Circuit Schematic of Source-Follower Amplifier (with Capacitor and RL) Figure 16: Waveform of Source-Follower Amplifier (with C2 and RL)
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Figure 17: Circuit Schematic of Source-Follower Amplifier (without Capacitor and RL) Figure 18: Waveform of Source-Follower Amplifier (w/o C2 and RL)
Vg (peak) 2.5 V Vi (peak) 1.3635V Vo1 (with C1 and RL) 1.3516 V Vo2 (w/o C1 and RL 8.511 V Figure 19: Source-Follower Amplifier Measurements Parameter Description Equation Calculation Result Ii Input Current (Vg-Vi)/Rg 0.01894 mA Io Output Current Vo1/RL 0.135 mA Ri Input Resistance R1//R2 72kΩ Ro Output Resistance (1/gm)//Rs = 1/(gm+1/Rs) gm=8.94 111.9Ω Avo Voltage Gain (w/o load) Vo2/Vi 6.242 Av Voltage Gain (with load) Vo1/Vi 0.9913 Ai Current Gain Io/Ii 7.128 Ap Power Gain Ai*Av 7.066 Figure 20: List of Source-Follower Amplifier Characteristics
Figure 21: BONUS Small Signal Models Hardware Part I: Common-Source Amplifier Vg (peak) 206mV Vi (peak) 106.02mV Vo1 (with C1 and RL) 1.13V Vo2 (w/o C1 and RL 17.61V Figure 22: Common-Source Amplifier Measurement Parameter Calculation Result Ii 0.00153 mA Io 0.115 mA Avo 166.20 Av 10.66 Ai 75.16 Ap 801.08 Figure 23: Table of Common-Source Amplifier Characteristics Part II: Source-Follower Amplifier
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Vg (peak) 2.506V Vi (peak) 1.376V Vo1 (with C1 and RL) 1.256V Vo2 (w/o C1 and RL 7.00V Figure 24: Source-Follower Amplifier Measurements Parameter Calculation Result Ii 0.0196 mA Io 0.123 mA Avo 5.573 Av 1.096 Ai 6.28 Ap 6.88 Figure 25: Table of Source-Follower Amplifier Characteristics Discussion of Results 1. In part I of simulation, as Vgs increased, the maximum value of the Id-Vds curve increases. When Vgs is 0, the curve’s peak value is 0A. When Vgs is instead 1 V, the curve then reaches 10uA. Once again when Vgs is 2V, the curves hits 40uA. The next thing I did in this section of the lab is taking Id-Vgs measurements. These measurements show Id increasing from 0 to 40 uA as Vgs increased from 0 to 2V. For both hardware and software the common-source amplifier configuration had very similar results. For both simulation and hardware, input current was very low. Output current, voltage gain, current gain, and power gain were also very close to each other between the hardware and simulation portions. Power gain usually differs the most between hardware and software portions, however, in simulation we calculated power gain to be 831, in hardware we calculated power gain to be 801. These values are very close. The source-follower amplifier measurements were also very consistent between the software and hardware portions. The source-follower amplifier does have a higher input current (0.019mA) than the common-source amplifier configuration which had an input
current of around 0.0015 mA. The output current, however, was very similar between the two configurations (0.115 and 0.123mA). The biggest area of difference for the source- follower and common-source configurations was power gain. For the source-follower, power gain was 6.88. For the common-source amplifier, the power gain was 801. 2. And 3.
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4. BONUS:
The Common-Source Amplifier is inverting, has high input AND output resistances, a high voltage gain, high current gain, and a high power gain. The Source-Follower Amplifier is non-inverting, has a high input resistance, low output resistance, has a gain of around 1, a low current gain, and a low power gain. Conclusion Through this lab, I now have a better understanding of some very important MOSFET characteristics, especially when they are used in amplifier circuits. The results in the hardware portions and simulation portions of this lab were far more consistent than the results in the previous BJT lab. This circuit was far more stable than the BJT circuit we had to measure in the previous lab. Through the completion of this lab, I now understand that the source-follower can be utilized as a voltage buffer whereas the common-source amplifier configuration is best used for voltage amplification. References 1. http://www.electronics-tutorials.ws/transistor/tran_6.html 2. https://www.allaboutcircuits.com/video-lectures/mosfet-amplifiers/ 3. https://alltransistors.com/mosfet/transistor.php?transistor=7