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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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For the circuit shown in figure, C=6.00 µF, e=100 V, and R=500 ohm. After having been at contact a for a long time, the switch throw is rotated to contact b. Find (a) the charge on the capacitor just as the switch throw is moved to contact (b) the current just after the switch throw is rotated to contact (c) the time constant of this circuit (d) How much charge is on the capacitor 6.00 ms after the switch throw is rotated to contact b.
The image depicts an electronic circuit diagram featuring a basic RC (resistor-capacitor) series circuit with a switch. ### Circuit Components: 1. **Battery (\( \mathcal{E} \)):** - Represented by the symbol of a voltage source, providing electromotive force (emf) to the circuit. 2. **Switch (Positions \( a \) and \( b \)):** - Shown in an open position here. It controls the current flow in the circuit. - When closed at position \( a \), the circuit is completed, allowing current to flow. - In position \( b \), the circuit opens, and no current flows. 3. **Resistor (\( R \)):** - Present in the series with a variable resistance component, used to control the current and dissipate energy. 4. **Capacitor (\( C \)):** - Connected in series with the resistor, used to store charge and energy in the electric field. ### Circuit Functionality: - **Charging Phase:** - With the switch closed at \( a \), the capacitor \( C \) begins to charge through the resistor \( R \), with current supplied by the battery \( \mathcal{E} \). Ohm's and Kirchhoff's laws govern the charging dynamics. - **Discharging Phase:** - If switched to \( b \), the capacitor discharges through the resistor \( R \), and energy stored in \( C \) is released. The current gradually decreases over time as the stored charge is depleted. ### Diagram Analysis: The presented system is a fundamental model often used in educational settings for understanding transient response in RC circuits, analyzing charge and discharge behavior, and applying foundational circuit laws.
Transcribed Image Text:The image depicts an electronic circuit diagram featuring a basic RC (resistor-capacitor) series circuit with a switch. ### Circuit Components: 1. **Battery (\( \mathcal{E} \)):** - Represented by the symbol of a voltage source, providing electromotive force (emf) to the circuit. 2. **Switch (Positions \( a \) and \( b \)):** - Shown in an open position here. It controls the current flow in the circuit. - When closed at position \( a \), the circuit is completed, allowing current to flow. - In position \( b \), the circuit opens, and no current flows. 3. **Resistor (\( R \)):** - Present in the series with a variable resistance component, used to control the current and dissipate energy. 4. **Capacitor (\( C \)):** - Connected in series with the resistor, used to store charge and energy in the electric field. ### Circuit Functionality: - **Charging Phase:** - With the switch closed at \( a \), the capacitor \( C \) begins to charge through the resistor \( R \), with current supplied by the battery \( \mathcal{E} \). Ohm's and Kirchhoff's laws govern the charging dynamics. - **Discharging Phase:** - If switched to \( b \), the capacitor discharges through the resistor \( R \), and energy stored in \( C \) is released. The current gradually decreases over time as the stored charge is depleted. ### Diagram Analysis: The presented system is a fundamental model often used in educational settings for understanding transient response in RC circuits, analyzing charge and discharge behavior, and applying foundational circuit laws.
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