Consider the circuit shown in Figure 5. Figure 5. Circuit for Problem 5. Here, current source Ibias is ideal with infinite output resistance and NMOS device M1 is operating in saturation with small-signal parameters gm = 100 mA/V and rds = 100 kΩ; the body effect for device M1 should be neglected for this problem. a) Determine the numerical value of small-signal input resistance Rin. Show your work and include appropriate units with your numerical answer. (Note that Rin is defined in Figure 5 above.) b) Determine the numerical value of small-signal output resistance Rout. . Show your work and include appropriate units with your numerical answer. (Note that Rout is defined in Figure 5 above.) c) Determine the numerical value of small-signal voltage gain Av = Vout /Vin. Show your work and include appropriate units with your numerical answer.
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Consider the circuit shown in Figure 5. Figure 5. Circuit for Problem 5. Here, current source Ibias is ideal with infinite output resistance and NMOS device M1 is operating in saturation with small-signal parameters gm = 100 mA/V and rds = 100 kΩ; the body effect for device M1 should be neglected for this problem. a) Determine the numerical value of small-signal input resistance Rin. Show your work and include appropriate units with your numerical answer. (Note that Rin is defined in Figure 5 above.) b) Determine the numerical value of small-signal output resistance Rout. . Show your work and include appropriate units with your numerical answer. (Note that Rout is defined in Figure 5 above.) c) Determine the numerical value of small-signal voltage gain Av = Vout /Vin. Show your work and include appropriate units with your numerical answer.
![For the circuit shown in Figure 1, NMOS device M1 has the following properties: kn’(W/L) = 180 μA/V2, VT0 = 2 V, λ = 0.02 V-1, γ = 0.4 V1/2, 2ϕF = 0.7 V, and ID = 10 mA. Note that capacitor Cbig is a DC blocking cap, i.e., Cbig is an open at DC and a short at all other frequencies. Figure 1. Circuit for Problem 1. a) Determine the numerical value of bias voltage Vbias which is needed to achieve a drain current of ID = 10 mA. b) Draw the small-signal equivalent circuit. c) Analyze the small-signal circuit to find Rin, Rout, and Av = Vout/Vin. Find the analytic expression for each quantity first, before determining the numerical answers. d) Recall that gmb/gm = χ. Determine the numerical value of χ for this problem. [Note that this part has nothing to do with parts (b) and (c).] e) What is the threshold voltage of device M1? [Note that this part has nothing to do with parts (b) and (c).] Show your work, list all numerical values in proper engineering notation format with appropriate units and with at least two decimal places of precision.](https://www.doubtrix.com/js/ckeditor/filemanager/connectors/php/editor/1701531864-Rjgbdog0ehds.png)