Question

For the following circuits, determine Av (Voutput/Vinput), Rin, and Rout. Given that threshold voltage (Vt) = 1.65 V, early voltage (Va) = 51V, transconductance parameter Kn = un. COX. W/L = 0.5 mA/V2 Signal coupling capacitors are 47 uF, VDD =+9 V and VSS =-9V. The resistor values are RG= 1.5 MO, RD=20 kq, RS1 =1.8 k 2, RS2 =18 kl with RS =RS1 +RS2. - The load resistor is RL=47 ko. > lg 3 Roi Vou 3 R Xw2 ON w x-w- O > se pas Common Source Amplifier. Input = X, output = Z, ground = Y (bypass Rs) by § Roi Vine 3 R CDZ V Ros te gaan Common source amplifier with source resistor. Input= X, Output = Z, ground = Y (bypass Rs)

Answer 1

from Dc Analysis TVGS HIDRS-V1550 VGS = Vss-Ip Rs Vesa qn 19.86 ID) ID = I kn (VGS - Vin)? Ip: 0.5x100 (9–19.8k1p-1-65) :- 0.125x103 ( 7:35 -19.8 KI.) 2 = 0.25x153 [(7.35)*7119.8*7o)?-(x7.35 x 19.814] = 1305181013 + 9801010? - 78.765 ID 98010 ID - 73.765 ID +13,514163 -0. ID = 0.437MA, B.3149 MAY

Jp = 0.3149 ma We went won't take ID - 0,487 mA dut to Vos is getting negative. (Vgs <V+) triode segion. VG = 9- (19.8 0.3149) ! Tuss2.75] Im = 200 - 24 0.31492 153 =0-573min VES-VL 2.75 -1.65 - No = SVA = 3 = 161.96 KW Ron ID 0.3149X163 Given circuit SVOD=9v Ro 320kn Rout: VA= 51V V4=10651 En c 0.5 mA /v2 BRL=47KN I 1919.8km Rin veso nav small signal modeli Rout Roig + L Vax (1) Imgs ros Vin BRG mVgg 1.5 MN Ki (Vine Vgs) : Nout = -3m vgs Groll Roll R.). Are Noul - gmi Croll Roll R2): =-(0.573x403) (161.9641) 20111476) TAV = - 381K103 Viv Vin

with t - sia 190 Rout M . Vout RB200 BREAK VIN BRG vgs Q3 anivas P21.5mw bi Rin Ugs = Vin Vosts -2m (Rplier) IN 40.573x103) (20k 1/48k) Avz - gou mu Vin Rin = RG = Rete RD = l. 5 Mw 20K wilt ro?- Rin = Ro = 1.5M, Rozuk = Rpllroa 20111 161.968 = 17.8 km - from 2nd circul Tuon = 90 Ro} ackr DC Anaboie Veure O VOU ,,Voo=91 ku}476 thed Sesi SGUSO VES, est FM SRS ۹۷- لولا } RSD VGS + Ip/257+R2) - VSS=0 VSS - Vss - IORS VESEN (Rs, y Rs2 = Rs) Rs=19.8kW Similarly Io = 0. 3149mA gorz 00573 mA ro: 161.96 km

Small signal model :- Rook nts vont Jin} RS ja gnvgs Roßzok Re} 49er mism "SM Rinkul | Vouts -gm (Roll Ry) Vas 10 from kve, Vin = Vgg - gm Rs, Vgs : Vine Vgs (I- gm ksi) Pasa Ciname) vin to Substitute eq@ in eq0, lue get Voule -9m TrollR2) ams vin. 1-om RS1 -(0.573x103)(20k/1476) 1-(0.573x 108) Tar = 256.02 Yul Rina RG = 1.5 mer Rout = Rp = 20KN with rot Ava - gmilRoll Ba|l06). - mesi - (38)x103) 7-10.573x1.8) Jav = 12-13 <106.VN) Rin = RG = 185 mm Rests Rollro = 17.8kw