Determination of gm of the NMOS transistor gm is the Transconductance Factor of the MOS transistor,...
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Determination of gm of the NMOS transistor gm is the Transconductance Factor of the MOS transistor, and it is one of the parameters of the small-signal equivalent circuits. The goal is to measure the Transconductance of an NMOS transistor in saturation (VDs > VGS-VT and VGs > VT). The gm in saturation can be written as: -- [ 8 GS JO √21pk. W L 21p Vas-V The Average Transconductance gm is basically the slope of the ID vs. VGS, when VDs is constant and MOS device is in saturation region. The slope is clearly different at different In. Hint: Use an appropriate software program, such as MICROSOFT EXCEL to examine the data provided. The slope will be determined mathematically from the data. Procedure: 1. Data has been collected using the circuit provided below. It is available to you in file Lab4_data_4p3.csv. This a csv file is based on data from a circuit like the one in Fig. 4.4. In this data VDs, constant at 5V and measure the drain current, In, while varying the gate voltage. The gate voltage VGs has been swept from 2 to 5V in steps of 0.1V. 2. Using the equation provided calculate gm at every point along the curve. 3. Plot the curve, ID vs. VGs, on a graph. Add gm vs. Vas to this plot. 5. 4. Extract the linear trend through the ID vs VGs curve and display the equation on the graph. Determine the average Transconductance gm from your calculations, and compare this to the slope determined by in the trendline equation. Report the average Transconductance. 1μF 14 VGS DO 3 ID 4 5 Ammeter DC DS VGSM VDS[MV] I(VGS)[A] 2.00E+00 5.00E+00 6.60E-05 2.10E+00 5.00E+00 9.50E-05 2.20E+00 5.00E+00 1.29E-04 2.30E+00 5.00E+00 1.69E-04 2.40E+00 5.00E+00 2.14E-04 2.50E+00 5.00E+00 2.64E-04 2.60E+00 5.00E+00 3.19E-04 2.70E+00 5.00E+00 3.80E-04 2.80E+00 5.00E+00 4.46E-04 2.90E+00 5.00E+00 5.17E-04 3.00E+00 5.00E+00 5.94E-04 3.10E+00 5.00E+00 6.76E-04 3.20E+00 5.00E+00 7.63E-04 3.30E+00 5.00E+00 8.55E-04 3.40E+00 5.00E+00 9.53E-04 3.50E+00 5.00E+00 1.06E-03 3.60E+00 5.00E+00 1.16E-03 3.70E+00 5.00E+00 1.28E-03 3.80E+00 5.00E+00 1.40E-03 3.90E+00 5.00E+00 1.52E-03 4.00E+00 5.00E+00 1.65E-03 4.10E+00 5.00E+00 1.78E-03 4.20E+00 5.00E+00 1.92E-03 4.30E+00 5.00E+00 2.07E-03 4.40E+00 5.00E+00 2.22E-03 4.50E+00 5.00E+00 2.38E-03 4.60E+00 5.00E+00 2.54E-03 4.70E+00 5.00E+00 2.70E-03 4.80E+00 5.00E+00 2.87E-03 4.90E+00 5.00E+00 3.05E-03 5.00E+00 5.00E+00 3.23E-03 Determination of gm of the NMOS transistor gm is the Transconductance Factor of the MOS transistor, and it is one of the parameters of the small-signal equivalent circuits. The goal is to measure the Transconductance of an NMOS transistor in saturation (VDs > VGS-VT and VGs > VT). The gm in saturation can be written as: -- [ 8 GS JO √21pk. W L 21p Vas-V The Average Transconductance gm is basically the slope of the ID vs. VGS, when VDs is constant and MOS device is in saturation region. The slope is clearly different at different In. Hint: Use an appropriate software program, such as MICROSOFT EXCEL to examine the data provided. The slope will be determined mathematically from the data. Procedure: 1. Data has been collected using the circuit provided below. It is available to you in file Lab4_data_4p3.csv. This a csv file is based on data from a circuit like the one in Fig. 4.4. In this data VDs, constant at 5V and measure the drain current, In, while varying the gate voltage. The gate voltage VGs has been swept from 2 to 5V in steps of 0.1V. 2. Using the equation provided calculate gm at every point along the curve. 3. Plot the curve, ID vs. VGs, on a graph. Add gm vs. Vas to this plot. 5. 4. Extract the linear trend through the ID vs VGs curve and display the equation on the graph. Determine the average Transconductance gm from your calculations, and compare this to the slope determined by in the trendline equation. Report the average Transconductance. 1μF 14 VGS DO 3 ID 4 5 Ammeter DC DS VGSM VDS[MV] I(VGS)[A] 2.00E+00 5.00E+00 6.60E-05 2.10E+00 5.00E+00 9.50E-05 2.20E+00 5.00E+00 1.29E-04 2.30E+00 5.00E+00 1.69E-04 2.40E+00 5.00E+00 2.14E-04 2.50E+00 5.00E+00 2.64E-04 2.60E+00 5.00E+00 3.19E-04 2.70E+00 5.00E+00 3.80E-04 2.80E+00 5.00E+00 4.46E-04 2.90E+00 5.00E+00 5.17E-04 3.00E+00 5.00E+00 5.94E-04 3.10E+00 5.00E+00 6.76E-04 3.20E+00 5.00E+00 7.63E-04 3.30E+00 5.00E+00 8.55E-04 3.40E+00 5.00E+00 9.53E-04 3.50E+00 5.00E+00 1.06E-03 3.60E+00 5.00E+00 1.16E-03 3.70E+00 5.00E+00 1.28E-03 3.80E+00 5.00E+00 1.40E-03 3.90E+00 5.00E+00 1.52E-03 4.00E+00 5.00E+00 1.65E-03 4.10E+00 5.00E+00 1.78E-03 4.20E+00 5.00E+00 1.92E-03 4.30E+00 5.00E+00 2.07E-03 4.40E+00 5.00E+00 2.22E-03 4.50E+00 5.00E+00 2.38E-03 4.60E+00 5.00E+00 2.54E-03 4.70E+00 5.00E+00 2.70E-03 4.80E+00 5.00E+00 2.87E-03 4.90E+00 5.00E+00 3.05E-03 5.00E+00 5.00E+00 3.23E-03
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