Q4. Find the currents in Figure 2 when R = 1, L = 1.25 H, C = 0.2 F, I₁(0) = 1 A, I₂(0) = 1 A. 1₁ R 1₂

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**Question 4:** Find the currents in Figure 2 when \( R = 1 \, \Omega \), \( L = 1.25 \, \text{H} \), \( C = 0.2 \, \text{F} \), \( I_1(0) = 1 \, \text{A} \), \( I_2(0) = 1 \, \text{A} \).

**Description of the Diagram:**

The diagram depicts an electrical circuit consisting of a capacitor \( C \), a resistor \( R \), and an inductor \( L \). The components are arranged in a series-parallel configuration.

- **Capacitor (\( C \))**: Positioned on the left side of the circuit.
- **Resistor (\( R \))**: Located between the capacitor and the inductor, in the center of the diagram.
- **Inductor (\( L \))**: Found on the right side of the circuit.

Two currents are indicated by arrows:

- **\( I_1 \)**: Directed clockwise through the path containing the resistor.
- **\( I_2 \)**: Directed in the same clockwise direction through the path containing the inductor.

Initial conditions for the currents are provided as \( I_1(0) = 1 \, \text{A} \) and \( I_2(0) = 1 \, \text{A} \).
Transcribed Image Text:**Question 4:** Find the currents in Figure 2 when \( R = 1 \, \Omega \), \( L = 1.25 \, \text{H} \), \( C = 0.2 \, \text{F} \), \( I_1(0) = 1 \, \text{A} \), \( I_2(0) = 1 \, \text{A} \). **Description of the Diagram:** The diagram depicts an electrical circuit consisting of a capacitor \( C \), a resistor \( R \), and an inductor \( L \). The components are arranged in a series-parallel configuration. - **Capacitor (\( C \))**: Positioned on the left side of the circuit. - **Resistor (\( R \))**: Located between the capacitor and the inductor, in the center of the diagram. - **Inductor (\( L \))**: Found on the right side of the circuit. Two currents are indicated by arrows: - **\( I_1 \)**: Directed clockwise through the path containing the resistor. - **\( I_2 \)**: Directed in the same clockwise direction through the path containing the inductor. Initial conditions for the currents are provided as \( I_1(0) = 1 \, \text{A} \) and \( I_2(0) = 1 \, \text{A} \).
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