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GT ECE 3050 - ECE3050 Assignment 19

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ECE3050 Assignment 191. The circuit shows a Wein bridge oscillator. If R1= R2, C1=0.1 µF, C2=0.22 µF,andR4=10kΩ, specify R1, R2,andR3for the circuit to have stable oscillations at f = 1000 Hz.Answ ers: R1= R2= 1073 Ω and R3= 6875 Ω.2. The figure shows a phase-shift oscillator with the feedback loop broken.By writing node equations, it can be shown that the loop-gain transfer function is given byV0oVo= −RFR(RCs)3(RCs)3+6(RCs)2+5(RCs)+1(a) To solve for the frequency of oscillation, what do y ou set V0o/Voequal to? Answ er:160◦. (b) Use the transfer function to solve for the frequency of oscillation. Answ er: f0=1/¡2π√6RC¢. (c) Use the transfer function to solve for value of RF/R in order for |V0o/Vo| =160◦at f = f0.Answer:RF/R1=29.3. The figure shows a phase shift oscillator. If C =0.1 µF,specifyR and RFfor the circuit tohave stable oscillations at f = 200 Hz.Answers:R =3249Ω and RF=94.21 kΩ.14. The loop-gain transfer function of a particular oscillator circuit is given byVoV0o= Ks(s/100)2+0.5(s/100) + 1At what frequency does the circuit oscillate and what must be the value of K for stableoscillations? Answers: f =15.9Hz and K


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