Question 10.4: Determine the frequency of the circuit in Figure 10–30 . To ...
Determine the frequency of the circuit in Figure 10–30 . To what value must R_1 be changed to make the frequency 20 kHz?

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f=\frac{1}{4 R_1 C}\left(\frac{R_2}{R_3}\right)=\left(\frac{1}{4(10 \mathrm{k} \Omega)(0.01 \mu \mathrm{F})}\right)\left(\frac{33 \mathrm{k} \Omega}{10 \mathrm{k} \Omega}\right)=8.25 \mathrm{kHz}
\text { To make } f=20 \mathrm{kHz} \text {, }
R_1=\frac{1}{4 f C}\left(\frac{R_2}{R_3}\right)=\left(\frac{1}{4(20 \mathrm{kHz})(0.01 \mu \mathrm{F})}\right)\left(\frac{33 \mathrm{k} \Omega}{10 \mathrm{k} \Omega}\right)=4.13 \mathrm{k} \Omega
P R A C T I C E EXERCISE
What is the amplitude of the triangular wave in Figure 10–30 if the comparator output is \pm 10 \mathrm{~V}?
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