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2-Determine the output voltage for the circuit in Figure 2 for each of the following failure modes, and compare it to the correct output: (a) R1 open (b) R2 open (c) C open (d) C shorted

2-Determine the output voltage for the circuit in Figure 2 for each of the following failure modes, and compare it to the correct output: (a) R1 open (b) R2 open (c) C open (d) C shorted

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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**Circuit Failure Analysis Exercise** **Objective:** Determine the output voltage for the circuit in Figure 2 for each of the following failure modes, and compare it to the correct output: (a) R1 open (b) R2 open (c) C open (d) C shorted **Circuit Description:** - **Figure 2** depicts a simple RC circuit consisting of: - A voltage source \( V_s = 1 \, \text{V} \) with a frequency \( f = 10 \, \text{Hz} \). - Resistor \( R_1 \) with a resistance of \( 10 \, \text{k}\Omega \). - Resistor \( R_2 \) with a resistance of \( 10 \, \text{k}\Omega \) in parallel with a capacitor. - A capacitor \( C \) with capacitance \( 4.7 \, \mu\text{F} \). - The output voltage \( V_{\text{out}} \) is measured across the parallel combination of \( R_2 \) and \( C \). **Failure Modes Explained:** - **(a) R1 open:** This failure mode implies that there is a break in the circuit where \( R_1 \) is located, effectively removing it from the circuit. - **(b) R2 open:** This indicates a break across \( R_2 \), meaning the resistor is not contributing to the circuit anymore, affecting the parallel branch with the capacitor. - **(c) C open:** The capacitor is disconnected, which means it is not holding any charge or affecting the impedance of the parallel branch. - **(d) C shorted:** This situation means the capacitor is providing a low-resistance path (like a wire), effectively bypassing \( R_2 \) in the parallel branch. **Note:** By analyzing these conditions, you'll understand how each component affects the circuit's output voltage, which is crucial for troubleshooting and designing reliable electronic systems.
Transcribed Image Text:**Circuit Failure Analysis Exercise** **Objective:** Determine the output voltage for the circuit in Figure 2 for each of the following failure modes, and compare it to the correct output: (a) R1 open (b) R2 open (c) C open (d) C shorted **Circuit Description:** - **Figure 2** depicts a simple RC circuit consisting of: - A voltage source \( V_s = 1 \, \text{V} \) with a frequency \( f = 10 \, \text{Hz} \). - Resistor \( R_1 \) with a resistance of \( 10 \, \text{k}\Omega \). - Resistor \( R_2 \) with a resistance of \( 10 \, \text{k}\Omega \) in parallel with a capacitor. - A capacitor \( C \) with capacitance \( 4.7 \, \mu\text{F} \). - The output voltage \( V_{\text{out}} \) is measured across the parallel combination of \( R_2 \) and \( C \). **Failure Modes Explained:** - **(a) R1 open:** This failure mode implies that there is a break in the circuit where \( R_1 \) is located, effectively removing it from the circuit. - **(b) R2 open:** This indicates a break across \( R_2 \), meaning the resistor is not contributing to the circuit anymore, affecting the parallel branch with the capacitor. - **(c) C open:** The capacitor is disconnected, which means it is not holding any charge or affecting the impedance of the parallel branch. - **(d) C shorted:** This situation means the capacitor is providing a low-resistance path (like a wire), effectively bypassing \( R_2 \) in the parallel branch. **Note:** By analyzing these conditions, you'll understand how each component affects the circuit's output voltage, which is crucial for troubleshooting and designing reliable electronic systems.
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