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The circuit has a switch that closes at t=0. Resistor R = 2.6ohms. L=0.1H, C= 4F while Vs= 24 volts Is this circuit, overdamped, critically damped or underdamped?

The circuit has a switch that closes at t=0. Resistor R = 2.6ohms. L=0.1H, C= 4F while Vs= 24 volts Is this circuit, overdamped, critically damped or underdamped?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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The circuit has a switch that closes at t=0. Resistor R = 2.6ohms. L=0.1H, C= 4F while Vs= 24 volts Is this circuit, overdamped, critically damped or underdamped?
The image illustrates an RLC circuit diagram, which consists of a resistor (R), an inductor (L), and a capacitor (C) connected in series with a voltage source (Vs). The circuit also includes a switch that is initially open and is closed at time \( t = 0 \). - **Voltage Source (\( V_S \))**: Represented by a circle with a plus and minus sign, indicating the polarity of the voltage. - **Switch**: Shown within the circuit, depicting its position open before \( t = 0 \) and suggesting it closes at \( t = 0 \). - **Resistor (\( R \))**: Represented by a zigzag line, indicating resistance in the circuit. - **Inductor (\( L \))**: Illustrated by a series of loops or a coiled line, indicating inductance. - **Capacitor (\( C \))**: Shown as two parallel lines with one curved line, indicating capacitance. It is labeled with \( v_C(t) \), representing the voltage across the capacitor as a function of time. - **Current Arrow**: Positioned near the switch, showing the direction of current flow after the switch is closed. This diagram is typically used to analyze the transient response of the circuit after the switch is closed at \( t = 0 \), causing current to flow through the components. The study of such circuits often involves solving differential equations to determine the current and voltage over time.
Transcribed Image Text:The image illustrates an RLC circuit diagram, which consists of a resistor (R), an inductor (L), and a capacitor (C) connected in series with a voltage source (Vs). The circuit also includes a switch that is initially open and is closed at time \( t = 0 \). - **Voltage Source (\( V_S \))**: Represented by a circle with a plus and minus sign, indicating the polarity of the voltage. - **Switch**: Shown within the circuit, depicting its position open before \( t = 0 \) and suggesting it closes at \( t = 0 \). - **Resistor (\( R \))**: Represented by a zigzag line, indicating resistance in the circuit. - **Inductor (\( L \))**: Illustrated by a series of loops or a coiled line, indicating inductance. - **Capacitor (\( C \))**: Shown as two parallel lines with one curved line, indicating capacitance. It is labeled with \( v_C(t) \), representing the voltage across the capacitor as a function of time. - **Current Arrow**: Positioned near the switch, showing the direction of current flow after the switch is closed. This diagram is typically used to analyze the transient response of the circuit after the switch is closed at \( t = 0 \), causing current to flow through the components. The study of such circuits often involves solving differential equations to determine the current and voltage over time.
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