2 kN 39 mA 8 kQ 2 kQ 14 mA ( ↑ 4 k. 4 k2 v

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find voltage v

### Circuit Analysis with Current and Resistors

This diagram illustrates a circuit composed of current sources and resistors in series.

#### Components:

- **Current Sources:**
  - **39 mA:** Positioned at the start of the circuit, flowing into the path with the resistors.
  - **14 mA:** Placed between two resistors in the middle of the circuit, injecting current into the circuit.

- **Resistors:**
  - **8 kΩ:** Connected immediately after the first current source (39 mA).
  - **2 kΩ:** Positioned next after the 8 kΩ resistor.
  - **4 kΩ:** Placed after the 2 kΩ resistor.
  - **2 kΩ:** Positioned after the second current source (14 mA) and paired serially with another 4 kΩ resistor.
  - **4 kΩ:** Situated at the end of the circuit path, connected in series with the preceding 2 kΩ resistor.

#### Circuit Notation:

- A potential difference is marked across the final 4 kΩ resistor, indicated by the voltage symbol \( v \) with positive and negative terminals marked.

### Explanation:

- The circuit shows a serial configuration where the current sources are directing currents through the resistors, impacting the voltage drop across each resistor.
- The combination of different resistances and the influence of the current sources will determine the overall current flow and potential differences across the circuit components, useful for practical circuit analysis.

This schematic serves as an example for understanding the interaction between components in circuits and analyzing potential drops and current distribution in electrical engineering studies.
Transcribed Image Text:### Circuit Analysis with Current and Resistors This diagram illustrates a circuit composed of current sources and resistors in series. #### Components: - **Current Sources:** - **39 mA:** Positioned at the start of the circuit, flowing into the path with the resistors. - **14 mA:** Placed between two resistors in the middle of the circuit, injecting current into the circuit. - **Resistors:** - **8 kΩ:** Connected immediately after the first current source (39 mA). - **2 kΩ:** Positioned next after the 8 kΩ resistor. - **4 kΩ:** Placed after the 2 kΩ resistor. - **2 kΩ:** Positioned after the second current source (14 mA) and paired serially with another 4 kΩ resistor. - **4 kΩ:** Situated at the end of the circuit path, connected in series with the preceding 2 kΩ resistor. #### Circuit Notation: - A potential difference is marked across the final 4 kΩ resistor, indicated by the voltage symbol \( v \) with positive and negative terminals marked. ### Explanation: - The circuit shows a serial configuration where the current sources are directing currents through the resistors, impacting the voltage drop across each resistor. - The combination of different resistances and the influence of the current sources will determine the overall current flow and potential differences across the circuit components, useful for practical circuit analysis. This schematic serves as an example for understanding the interaction between components in circuits and analyzing potential drops and current distribution in electrical engineering studies.
Expert Solution
Step 1

Electrical Engineering homework question answer, step 1, image 1

                                                                Fig: Given circuit diagram

Assume that voltage at the node at 'A' is VA

Apply KCL at node A

39×10-3+VA8×103+VA2×103-14×10-3+VA4×103+VA2+4×103=0VA8×103+VA2×103+VA4×103+VA2+4×103=-25×10-3VA8+VA2+VA4+VA6=-251.04VA=-25VA=-24.03 volt

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