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= 10.9 In the circuit of Fig. 10.7a let R 330 k2, C = 1 nF, R₁ = 10 k2, and R₂ = 20 ks. Assuming ±15-V supplies, find fo and D(%) if a third resistance R3 = 30 ks2 is connected between the noninverting-input pin of the 301 and the -15-V supply.

= 10.9 In the circuit of Fig. 10.7a let R 330 k2, C = 1 nF, R₁ = 10 k2, and R₂ = 20 ks. Assuming ±15-V supplies, find fo and D(%) if a third resistance R3 = 30 ks2 is connected between the noninverting-input pin of the 301 and the -15-V supply.

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
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**Topic: Analysis of a Basic Free-Running Multivibrator Circuit** **Problem 10.9:** In the circuit of Fig. 10.7a, let \( R = 330 \, \text{k}\Omega \), \( C = 1 \, \text{nF} \), \( R_1 = 10 \, \text{k}\Omega \), and \( R_2 = 20 \, \text{k}\Omega \). Assuming \( \pm15 \)-V supplies, find \( f_0 \) and \( D(\%) \) if a third resistance \( R_3 = 30 \, \text{k}\Omega \) is connected between the noninverting input pin of the 301 and the \(-15\)-V supply. **Figure 10.7a Explanation:** The diagram below represents a basic free-running multivibrator circuit: - **Operational Amplifier (Op-Amp 301):** The main component, functioning with feedback to create oscillations. - **Capacitor \( C \) (1 nF):** Connected to the noninverting input (\( v_N \)), it determines the timing characteristics of oscillation. - **Resistor \( R \) (330 kΩ):** Also connected to \( v_N \), it works together with \( C \) to influence the frequency. - **Resistors \( R_1 \) (10 kΩ) and \( R_2 \) (16 kΩ):** Connected in a voltage divider configuration at the inverting input \( v_p \). - **Output (\( v_O \)):** The resulting oscillating signal from the op-amp. - **Additional Resistor \( R_3 \) (30 kΩ):** Configured between the noninverting input and the \(-15\)-V supply, affecting both the frequency and duty cycle. **Objective:** Calculate the oscillation frequency \( f_0 \) and the duty cycle percentage \( D(\%) \) using the provided component values and configuration.
Transcribed Image Text:**Topic: Analysis of a Basic Free-Running Multivibrator Circuit** **Problem 10.9:** In the circuit of Fig. 10.7a, let \( R = 330 \, \text{k}\Omega \), \( C = 1 \, \text{nF} \), \( R_1 = 10 \, \text{k}\Omega \), and \( R_2 = 20 \, \text{k}\Omega \). Assuming \( \pm15 \)-V supplies, find \( f_0 \) and \( D(\%) \) if a third resistance \( R_3 = 30 \, \text{k}\Omega \) is connected between the noninverting input pin of the 301 and the \(-15\)-V supply. **Figure 10.7a Explanation:** The diagram below represents a basic free-running multivibrator circuit: - **Operational Amplifier (Op-Amp 301):** The main component, functioning with feedback to create oscillations. - **Capacitor \( C \) (1 nF):** Connected to the noninverting input (\( v_N \)), it determines the timing characteristics of oscillation. - **Resistor \( R \) (330 kΩ):** Also connected to \( v_N \), it works together with \( C \) to influence the frequency. - **Resistors \( R_1 \) (10 kΩ) and \( R_2 \) (16 kΩ):** Connected in a voltage divider configuration at the inverting input \( v_p \). - **Output (\( v_O \)):** The resulting oscillating signal from the op-amp. - **Additional Resistor \( R_3 \) (30 kΩ):** Configured between the noninverting input and the \(-15\)-V supply, affecting both the frequency and duty cycle. **Objective:** Calculate the oscillation frequency \( f_0 \) and the duty cycle percentage \( D(\%) \) using the provided component values and configuration.
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