Question 10.2: a) Determine the value of Rf necessary for the circuit in Fi...

a) Determine the value of R_f necessary for the circuit in Figure 10–14 to operate as an oscillator.

(b) Determine the frequency of oscillation.

10.14
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(a) A_{c l}=29 \text {, and } B=\frac{1}{29}=\frac{R_3}{R_f} \text {. Therefore, }

\frac{R_f}{R_3}=29

R_f=29 R_3=29(10  \mathrm{k} \Omega)=290  \mathrm{k} \Omega

(b) R_1=R_2=R_3=R \text { and } C_1=C_2=C_3=C \text {. Therefore, }

f_r=\frac{1}{2 \pi \sqrt{6} R C}=\frac{1}{2 \pi \sqrt{6}(10  \mathrm{k} \Omega)(0.001  \mu \mathrm{F})} \cong 6.5  \mathrm{kHz}

P R A C T I C E EXERCISE

(a) If R_1, R_2 \text {, and } R_3 in Figure 10–14 are changed to 8.2 kΩ, what value must R_f be for oscillation?

(b) What is the value of f_r ?

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