+) V. S 0= R L с + (1)Pa

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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 Write down coefficients of the characteristic equation of the transient behavior of this circuit S^2 + _ s+ _=0 fill in the blanks “_”
This image depicts an RLC series circuit, which includes a resistor (R), an inductor (L), and a capacitor (C), connected in series with a voltage source (Vs). 

Here is the breakdown of the circuit diagram:

- **Voltage Source (Vs):** Represented by a circle with a plus and minus sign, indicating that it provides electrical energy to the circuit.

- **Switch:** Positioned on the left side of the circuit and initially open, it's labeled “t = 0” to indicate that the switch closes at time zero, allowing current to flow through the circuit.

- **Resistor (R):** Symbolized with a zigzag line, it opposes the flow of current, causing a voltage drop according to Ohm's Law (V = IR).

- **Inductor (L):** Depicted with a series of loops, it stores energy in the form of a magnetic field when current passes through it.

- **Capacitor (C):** Shown with two parallel lines, it stores energy in the form of an electric field. The voltage across the capacitor is represented as \( v_C(t) \).

This circuit allows for analysis of the behavior of the components over time, especially in response to the switch closing, and can be used to study the transient responses of RLC circuits.
Transcribed Image Text:This image depicts an RLC series circuit, which includes a resistor (R), an inductor (L), and a capacitor (C), connected in series with a voltage source (Vs). Here is the breakdown of the circuit diagram: - **Voltage Source (Vs):** Represented by a circle with a plus and minus sign, indicating that it provides electrical energy to the circuit. - **Switch:** Positioned on the left side of the circuit and initially open, it's labeled “t = 0” to indicate that the switch closes at time zero, allowing current to flow through the circuit. - **Resistor (R):** Symbolized with a zigzag line, it opposes the flow of current, causing a voltage drop according to Ohm's Law (V = IR). - **Inductor (L):** Depicted with a series of loops, it stores energy in the form of a magnetic field when current passes through it. - **Capacitor (C):** Shown with two parallel lines, it stores energy in the form of an electric field. The voltage across the capacitor is represented as \( v_C(t) \). This circuit allows for analysis of the behavior of the components over time, especially in response to the switch closing, and can be used to study the transient responses of RLC circuits.
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