11.10.In Problem 11.9, derive the transfer function of the circuit, substitute s = jω, and obtain an expression for |Vout/Vin|. Determine the −3 dB bandwidth of the circuit.
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Work With Experts to Reach at Correct Answers![Figure P5-1 shows a common source single transistor MOSFET amplifier utilizing an N-Channel Enhancement Mode MOSFET. The term "common source" refers to the source terminal being shared by both the input circuit and the output circuit. The parameters for the MOSFET and the supply voltage are also given. Hand Analysis P1. In terms of DC bias, determine a value for VGS to set the drain current ID to 5 mA. Also determine a value for RD to set the VDS bias to 6 V. P2. In terms of small-signal parameters, determine the transconductance gm of this amplifier as well as the voltage gain, Av. P3. If vgs is a 0.1 Vpk sinewave at a frequency of 1 kHz [ie. vgs = 0.1sin(2pift)V ] determine an expression for the output voltage vOUT as a function of time. Sketch vIN and vOUT for two complete cycles, including the DC bias for each signal. Simulation P4. Simulate the circuit of Figure P5-1 to verify your hand analysis and create a plot similar to P3 as part of your prelab. Use the virtual MOSFET model in simulation with SPICE parameters VT0 = 1.8 V and KP = 120 mA/V2. (The default values of 100um for W and L will be fine since their ratio equals unity.)](https://www.doubtrix.com/js/ckeditor/filemanager/connectors/php/editor/1695874154-Avjhgifoih.png)
![Transient Point (Threshold Voltage) In practice, in an inverter circuit, there is an unstable transient point at which both transistors are on and in saturation mode. The input voltage (connected to the gate) for this point is called the threshold voltage (Vin = VTH). At this point, VGS/VSG of the NMOS / PMOS is equal to Vin/VDD-Vin. Note that this threshold voltage is different from the intrinsic threshold voltage of transistors (VTN or VTP). Derive an expression for this threshold voltage [RP2]. Verify your work with the expression below: What happens to VTH when Kp > Kn, Kp = Kn, and Kp < Kn? What haapens when Kp approaches 0 or when Kn approaches 0? Use words to generalize how various Kn and Kp values change VTH and describe how the values of Kn and Kp can be tuned by parallel MOSFET connection [RP2]. Noise Margin Please read section 6.9.4 of the textbook or search on the internet about noise margin. Sketch a typical transfer function of an inverter (non-ideal one) with 1 PMOS and 1 NMOS and label VIL, VOH, VOL,VIH, NMH, and NML on your sketch [RP3]. Why is the metric of noise margin useful [RP3]? Make a reasoned guess about how the change in the threshold voltage VTH (or the change in Kn/Kp ) affects each of the noise margin parameters [RP4].](https://www.doubtrix.com/js/ckeditor/filemanager/connectors/php/editor/1701517361-Ahgt08pgkfy.jpeg)
![Transient Point (Threshold Voltage) In practice, in an inverter circuit, there is an unstable transient point at which both transistors are on and in saturation mode. The input voltage (connected to the gate) for this point is called the threshold voltage (Vin = VTH). At this point, VGS/VSG of the NMOS / PMOS is equal to Vin/VDD-Vin. Note that this threshold voltage is different from the intrinsic threshold voltage of transistors (VTN or VTP). Derive an expression for this threshold voltage [RP2]. Verify your work with the expression below: What happens to VTH when Kp > Kn, Kp = Kn, and Kp < Kn? What haapens when Kp approaches 0 or when Kn approaches 0? Use words to generalize how various Kn and Kp values change VTH and describe how the values of Kn and Kp can be tuned by parallel MOSFET connection [RP2]. Noise Margin Please read section 6.9.4 of the textbook or search on the internet about noise margin. Sketch a typical transfer function of an inverter (non-ideal one) with 1 PMOS and 1 NMOS and label VIL, VOH, VOL,VIH, NMH, and NML on your sketch [RP3]. Why is the metric of noise margin useful [RP3]? Make a reasoned guess about how the change in the threshold voltage VTH (or the change in Kn/Kp ) affects each of the noise margin parameters [RP4].](https://www.doubtrix.com/js/ckeditor/filemanager/connectors/php/editor/1701517372-Bgfiogfui.jpeg)
