(B (c) cl 4 m A C 14V/+ +120 Loop! =OV for above ckt draw the schematie and calculate a) I₁ = I₂ = I3 = b) Calculate the voltages at node (A) = 2 бл IM I, B 133212 1₂ Loop 2 M

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### Electrical Circuit Analysis

#### Circuit Diagram

Below is a hand-drawn schematic of an electric circuit consisting of resistors, voltage sources, and currents. 

**Components and Notations:**
1. Nodes labeled A, B, and C.
2. Resistors:
    - 4Ω resistor between nodes A and B.
    - 6Ω resistor between nodes B and C.
    - 2Ω resistor between nodes B and ground (0V).
3. Voltage Sources:
    - 14V voltage source connected to node A.
    - 12V voltage source connected to node C.
4. Three Currents: I₁, I₂, and I₃.
    - I₁ flows through the 4Ω resistor.
    - I₂ flows through the 6Ω resistor.
    - I₃ flows through the 2Ω resistor and is shared by I₁ and I₂.
5. Two loops labeled Loop1 and Loop2 for analysis purposes.

**Task Description:**
Using the schematic provided, perform the following tasks:

1. **Schematic Drawing and Current Calculations:**
    - Draw the circuit schematic.
    - Calculate the currents:
        - \( I_1 = \)
        - \( I_2 = \)
        - \( I_3 = \)

2. **Voltage Calculation at Nodes:**
    - Calculate the voltages at nodes A, B, and C.
        - \( V_A = \)
        - \( V_B = \)
        - \( V_C = \)


##### Diagram Explanation:
- **Loop 1 (left loop):** Defined in a counterclockwise direction, passing through the left voltage source (14V), the 4Ω resistor, and the central 2Ω resistor.
- **Loop 2 (right loop):** Defined in a clockwise direction, passing through the right voltage source (12V), the 6Ω resistor, and the central 2Ω resistor.

This schematic provides all relevant information to analyze and solve for the currents and node voltages in the circuit using methods such as Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL). Ensure to apply these laws appropriately to identify and compute the required unknowns accurately.
Transcribed Image Text:### Electrical Circuit Analysis #### Circuit Diagram Below is a hand-drawn schematic of an electric circuit consisting of resistors, voltage sources, and currents. **Components and Notations:** 1. Nodes labeled A, B, and C. 2. Resistors: - 4Ω resistor between nodes A and B. - 6Ω resistor between nodes B and C. - 2Ω resistor between nodes B and ground (0V). 3. Voltage Sources: - 14V voltage source connected to node A. - 12V voltage source connected to node C. 4. Three Currents: I₁, I₂, and I₃. - I₁ flows through the 4Ω resistor. - I₂ flows through the 6Ω resistor. - I₃ flows through the 2Ω resistor and is shared by I₁ and I₂. 5. Two loops labeled Loop1 and Loop2 for analysis purposes. **Task Description:** Using the schematic provided, perform the following tasks: 1. **Schematic Drawing and Current Calculations:** - Draw the circuit schematic. - Calculate the currents: - \( I_1 = \) - \( I_2 = \) - \( I_3 = \) 2. **Voltage Calculation at Nodes:** - Calculate the voltages at nodes A, B, and C. - \( V_A = \) - \( V_B = \) - \( V_C = \) ##### Diagram Explanation: - **Loop 1 (left loop):** Defined in a counterclockwise direction, passing through the left voltage source (14V), the 4Ω resistor, and the central 2Ω resistor. - **Loop 2 (right loop):** Defined in a clockwise direction, passing through the right voltage source (12V), the 6Ω resistor, and the central 2Ω resistor. This schematic provides all relevant information to analyze and solve for the currents and node voltages in the circuit using methods such as Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL). Ensure to apply these laws appropriately to identify and compute the required unknowns accurately.
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