Problem 4.12 (Node-Voltage Method) Find V₁, V₂, V₂, and vb vel 144 V + 4Ω V 80Ω Υ ανάλο γάξ 10 Ω Ων O 3 Α 35 Ω

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4.12
**Problem 4.12 (Node-Voltage Method)**

Task: Find \( V_1, V_2, V_a, \) and \( V_b \).

Circuit Description:
- The circuit contains a voltage source of 144 V.
- Resistors are as follows: 4 Ω, 80 Ω, 10 Ω, and 5 Ω.
- There are two nodes labeled \( V_1 \) and \( V_2 \).
- There is a 3 A current source connected between \( V_2 \) and the ground.
- Node \( V_a \) is located between the 10 Ω and 80 Ω resistors.
- Node \( V_b \) is located between the 10 Ω resistor and the point connected to the negative terminal of the 144 V source.

Objective: Use the Node-Voltage Method, which involves applying Kirchhoff's current law (KCL) at each node and solving the resulting equations to find the unknown voltages at each node.

**Problem 4.13 (Node-Voltage Method)**

Task: Find \( V_a \) and \( V_b \).

Note: Specific details of Problem 4.13 are not shown in this image.
Transcribed Image Text:**Problem 4.12 (Node-Voltage Method)** Task: Find \( V_1, V_2, V_a, \) and \( V_b \). Circuit Description: - The circuit contains a voltage source of 144 V. - Resistors are as follows: 4 Ω, 80 Ω, 10 Ω, and 5 Ω. - There are two nodes labeled \( V_1 \) and \( V_2 \). - There is a 3 A current source connected between \( V_2 \) and the ground. - Node \( V_a \) is located between the 10 Ω and 80 Ω resistors. - Node \( V_b \) is located between the 10 Ω resistor and the point connected to the negative terminal of the 144 V source. Objective: Use the Node-Voltage Method, which involves applying Kirchhoff's current law (KCL) at each node and solving the resulting equations to find the unknown voltages at each node. **Problem 4.13 (Node-Voltage Method)** Task: Find \( V_a \) and \( V_b \). Note: Specific details of Problem 4.13 are not shown in this image.
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