Let the diode-connected FET of Fig. P6.9 have Vt 5 0.5 V, 0 5 0.6 V, and m 5 0.5. (a) Given that with ID 5 0.28 mA it gives VDS 5 1.5 V, and with ID 5 1.20 mA it gives VDS 5 2.5 V, what are the values of k and ? (b) Given that at (ID, VDS) 5 (0.28 mA, 1.5 V) the FET has Cgs 5 (2y3)WLCox 1 WLovCox 1 Cgb 5 (30 1 2 1 3) fF and Cdb 5 5 fF, sketch and label its small-signal model. Hence, fi nd the small-signal impedance Z(jf), and sketch and label the frequency plot of uZ(jf)u using logarithmic scales. (c) Repeat part (b), but for the case in which the FET is operated at (ID, VDS) 5 (1.20 mA, 2.5 V). Hint: increasing VDS reduces both L and Cdb, so you can utilize the data of part (a) to calculate the percentage reductions in L and in Cdb as VDS is raised from 1.5 V to 2.5 V.
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