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Q2 (a) The closed loop gain of an oscillator is given by: RG ' (1+ j@R,C,)– @³LC,(1+ j@R,C,)+ j@R,C, A =-gm Using the Barkhausen Criteria, determine its resonant frequency. Given: RG (1+ j@R,C,)– w³ LC, (1+ j@R,C,)+ j@R,C, RG '1-w²LC, + jw(R,(C, +C,)– W²LR,C,C,) A =-gm 21+ j0 ニーgm Barkhausen Criteria states: For oscillation, this gain should be 21+j0 All imagery terms should be zero, therefore R,(C, +C;)–W²LR.C,C, = 0 C+C, w = LC,C, Draw the circuit diagram of one implementation of a Hartley oscillator using NMOS amplifier. (b) VDD R1 2 {L1 C CD CG W Z Vout R2 RS CS VSS

Q2 (a) The closed loop gain of an oscillator is given by: RG ' (1+ j@R,C,)– @³LC,(1+ j@R,C,)+ j@R,C, A =-gm Using the Barkhausen Criteria, determine its resonant frequency. Given: RG (1+ j@R,C,)– w³ LC, (1+ j@R,C,)+ j@R,C, RG '1-w²LC, + jw(R,(C, +C,)– W²LR,C,C,) A =-gm 21+ j0 ニーgm Barkhausen Criteria states: For oscillation, this gain should be 21+j0 All imagery terms should be zero, therefore R,(C, +C;)–W²LR.C,C, = 0 C+C, w = LC,C, Draw the circuit diagram of one implementation of a Hartley oscillator using NMOS amplifier. (b) VDD R1 2 {L1 C CD CG W Z Vout R2 RS CS VSS

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Q2 (a) The closed loop gain of an oscillator is given by: RG A =-8m '(1 + j@R,C,)- @°LC,(1+ jwR,C,)+ jwR,C, Using the Barkhausen Criteria, determine its resonant frequency. Draw the circuit diagram of one implementation of a Hartley oscillator using NMOS amplifier. (b)
Transcribed Image Text:Q2 (a) The closed loop gain of an oscillator is given by: RG A =-8m '(1 + j@R,C,)- @°LC,(1+ jwR,C,)+ jwR,C, Using the Barkhausen Criteria, determine its resonant frequency. Draw the circuit diagram of one implementation of a Hartley oscillator using NMOS amplifier. (b)
Q2 (a) The closed loop gain of an oscillator is given by: RG (1+ j@R,C,)– @³LC (1+ j@R,C, )+ j@R,C, A =-gm Using the Barkhausen Criteria, determine its resonant frequency. Given: RG (1+ j@R,C,)- o²LC, (1+ j@R,C,)+ j@R,C, RG -B 1- W°LC, + jw(Rc(C, +C,)-w*LR,C,C,) A =-gm 21+ j0 Barkhausen Criteria states: For oscillation, this gain should be >1+j0 All imagery terms should be zero, therefore R,(C, +C,)–W²LR.C,C, = 0 C +C, wi = LC,C, %3D Draw the circuit diagram of one implementation of a Hartley oscillator using NMOS amplifier. (b) VDD L2{ L1 R1 3 CD CG W M1 Vout R2 E RS CS VsS
Transcribed Image Text:Q2 (a) The closed loop gain of an oscillator is given by: RG (1+ j@R,C,)– @³LC (1+ j@R,C, )+ j@R,C, A =-gm Using the Barkhausen Criteria, determine its resonant frequency. Given: RG (1+ j@R,C,)- o²LC, (1+ j@R,C,)+ j@R,C, RG -B 1- W°LC, + jw(Rc(C, +C,)-w*LR,C,C,) A =-gm 21+ j0 Barkhausen Criteria states: For oscillation, this gain should be >1+j0 All imagery terms should be zero, therefore R,(C, +C,)–W²LR.C,C, = 0 C +C, wi = LC,C, %3D Draw the circuit diagram of one implementation of a Hartley oscillator using NMOS amplifier. (b) VDD L2{ L1 R1 3 CD CG W M1 Vout R2 E RS CS VsS
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