Question

Solve the following problem using the methodology in the given example:

For the following problem show ALL STEPS and show utilized equations step by step. Given the following parameters for MOSFETS M1 & M2: 9m = 500 x 10-6 To = 000] C = 1 [MF] R = 10 [KO] Find the following: A. Calculate the Loop Gain -AB B. Determine the oscillation frequency C. The value Ramust take so that the circuit oscillates M M2 2CR

Answer 1

Vout = ginRo. » - Ret Vin V GM I am li M274 te groung 26 R. Rll Yüc (61) Yae) - vejece. po tejtéc + (Ru Ywe) R/1+jwcR) _ - RR (2jwch) (1+2jWCR) (i+jW (R) +2jwcR* ajweet/ 2jWCA + jwer ajwere 1 tj wcR tajwcR-26?c?R? +3jwente To CRtae Vi jaw crue (1-2cm%R")+j feo CR + 200cps) multiply with complex Conjugate rii Jacocka [(-20044R9-; (360R+Qwera) (-aw?c'r') (swcarduckaj? = Steser Filzmes) 10w"cer? tja wcR (1-2 w² (²2²) (1-2 wer) 7 ( 31CR+QWER)?

@ - ß = - gmot . s rowcipe+j awer (1=2w?AR?) . L (Inawe?R? ² + 256?er² J c=1MF RC= 10%* 109 IRC = 102 R=loker 0:01] after equating Imaginary - Apl - gm Ro X10w²Corolt jkwood 2: part to zero. 2 AB = 10 gm Rd w??R? ' (1-2w²c2R²)²4 25w?c2R2 FAB= -gmed/s Aß= 1 Inginary part will be zero. 1-2 w²c²R² ao f YERC 20282 oscillation frequency. w2R o a leitast 1-0 for assicallation takes place .. Aßal. AB= 102m Rd.co²c2R2 (1-2 w²c²R²) ²4 25 w²eR2 . 1%* qm Rd = logmpat (42) ² (L- 2 + 2) + 256 Ya 2572 - Logmod 1000 . » RED= ' Apa guld - Rea He had a Sign SB0*10 EN = 10kz » Rd=loka Re-level] NAWAS O MO