The circuit has a switch that closes at t=0. Resistor R = 2.6ohms. L=0.1H, C= 4F while Vs= 24 volts What are the values

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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 What are the values
The image depicts an RLC (Resistor-Inductor-Capacitor) circuit with a DC voltage source. The circuit is represented in a schematic diagram with the following components and elements:

1. **Voltage Source (\(V_S\))**: A DC voltage source is shown on the left side, indicated by the positive (+) and negative (-) symbols. This is the source of electrical power for the circuit.

2. **Switch**: There is a switch depicted near the voltage source. The switch can open and close the circuit. The notation \( t = 0 \) represents the moment when the switch is closed, starting the circuit operation.

3. **Resistor (\(R\))**: The resistor is represented by a zigzag line. This component resists the flow of electric current, causing a voltage drop.

4. **Inductor (\(L\))**: The inductor is represented by a series of loops. It stores energy in a magnetic field when electric current flows through it.

5. **Capacitor (\(C\))**: The capacitor is depicted with two parallel lines separated by a gap. It stores energy in an electric field and is characterized by its voltage across it, \( v_C(t) \).

6. **Voltage Across the Capacitor (\(v_C(t)\))**: The voltage across the capacitor is labeled as \( v_C(t) \), indicating that it is a function of time.

This RLC circuit can be used to study the transient response when the switch is closed and observe how current and voltage change over time across various components. The circuit behavior is governed by differential equations derived from Kirchhoff's voltage and current laws.
Transcribed Image Text:The image depicts an RLC (Resistor-Inductor-Capacitor) circuit with a DC voltage source. The circuit is represented in a schematic diagram with the following components and elements: 1. **Voltage Source (\(V_S\))**: A DC voltage source is shown on the left side, indicated by the positive (+) and negative (-) symbols. This is the source of electrical power for the circuit. 2. **Switch**: There is a switch depicted near the voltage source. The switch can open and close the circuit. The notation \( t = 0 \) represents the moment when the switch is closed, starting the circuit operation. 3. **Resistor (\(R\))**: The resistor is represented by a zigzag line. This component resists the flow of electric current, causing a voltage drop. 4. **Inductor (\(L\))**: The inductor is represented by a series of loops. It stores energy in a magnetic field when electric current flows through it. 5. **Capacitor (\(C\))**: The capacitor is depicted with two parallel lines separated by a gap. It stores energy in an electric field and is characterized by its voltage across it, \( v_C(t) \). 6. **Voltage Across the Capacitor (\(v_C(t)\))**: The voltage across the capacitor is labeled as \( v_C(t) \), indicating that it is a function of time. This RLC circuit can be used to study the transient response when the switch is closed and observe how current and voltage change over time across various components. The circuit behavior is governed by differential equations derived from Kirchhoff's voltage and current laws.
The image contains two input fields labeled with the following:

1. \( \omega_0 = \) [blank space] rad/secs
2. \( \zeta = \) [blank space]

These represent the symbols for natural frequency (\( \omega_0 \)), measured in radians per second, and damping ratio (\( \zeta \)), respectively. Both fields are likely intended for numerical input related to oscillatory systems, such as those in engineering dynamics or control systems. There are no graphs or diagrams present.
Transcribed Image Text:The image contains two input fields labeled with the following: 1. \( \omega_0 = \) [blank space] rad/secs 2. \( \zeta = \) [blank space] These represent the symbols for natural frequency (\( \omega_0 \)), measured in radians per second, and damping ratio (\( \zeta \)), respectively. Both fields are likely intended for numerical input related to oscillatory systems, such as those in engineering dynamics or control systems. There are no graphs or diagrams present.
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