For the circuit below.  (Hint, the total current flowing into and out of any node must be zero.) Determine I1 Determine I2 Determine I3 Determine I4

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For the circuit below.  (Hint, the total current flowing into and out of any node must be zero.)

Determine I1


Determine I2

Determine I3

Determine I4

 

 

**Transcription of the Circuit Diagram:**

The given diagram represents an electrical circuit with multiple branches and resistors. It illustrates the flow of electrical current at different points in the circuit. 

**Components and Currents:**

- **Resistors:** The circuit contains three resistors, labeled as \(R_1\), \(R_2\), and \(R_3\).
- **Currents:** Several currents are marked on the diagram:
  - **\(I_1\):** the current flowing through \(R_1\)
  - **\(I_2\):** the current flowing through \(R_2\)
  - **\(I_3\):** the current flowing through \(R_3\)
  - **\(I_4\):** the current flowing in the rightmost branch horizontally

**Current Values:**

- At the leftmost branch, a current of **20 A** flows into the circuit.
- At the junction between the leftmost branch and resistor \(R_1\), a current of **9 A** flows downward, and the remaining current flows through \(R_1\) as **\(I_1\)**.
- After \(R_1\) and another junction, a current of **5 A** flows upward, and the remaining current flows through \(R_2\) as **\(I_2\)**.
- At the junction between the middle branch and resistor \(R_3\), a current of **8 A** flows downward, and the current \(I_3\) flows through \(R_3\).
- After \(R_3\), the current \(I_4\) of **4 A** flows horizontally to the rightmost branch.

The arrows in the diagram indicate the direction of current flow. Each resistor in the series has a current flowing either into or out of it, denoted by \(I_1\), \(I_2\), \(I_3\), and \(I_4\), respectively.

This diagram is a typical representation used in the analysis of electrical circuits, demonstrating Kirchhoff's Current Law (KCL), which states that the total current entering a junction is equal to the total current leaving the junction. The currents at each node follow this principle:
- Node at the top-left most junction: \(20 A = 9 A + I_1\)
- Node between \(R_1\) and
Transcribed Image Text:**Transcription of the Circuit Diagram:** The given diagram represents an electrical circuit with multiple branches and resistors. It illustrates the flow of electrical current at different points in the circuit. **Components and Currents:** - **Resistors:** The circuit contains three resistors, labeled as \(R_1\), \(R_2\), and \(R_3\). - **Currents:** Several currents are marked on the diagram: - **\(I_1\):** the current flowing through \(R_1\) - **\(I_2\):** the current flowing through \(R_2\) - **\(I_3\):** the current flowing through \(R_3\) - **\(I_4\):** the current flowing in the rightmost branch horizontally **Current Values:** - At the leftmost branch, a current of **20 A** flows into the circuit. - At the junction between the leftmost branch and resistor \(R_1\), a current of **9 A** flows downward, and the remaining current flows through \(R_1\) as **\(I_1\)**. - After \(R_1\) and another junction, a current of **5 A** flows upward, and the remaining current flows through \(R_2\) as **\(I_2\)**. - At the junction between the middle branch and resistor \(R_3\), a current of **8 A** flows downward, and the current \(I_3\) flows through \(R_3\). - After \(R_3\), the current \(I_4\) of **4 A** flows horizontally to the rightmost branch. The arrows in the diagram indicate the direction of current flow. Each resistor in the series has a current flowing either into or out of it, denoted by \(I_1\), \(I_2\), \(I_3\), and \(I_4\), respectively. This diagram is a typical representation used in the analysis of electrical circuits, demonstrating Kirchhoff's Current Law (KCL), which states that the total current entering a junction is equal to the total current leaving the junction. The currents at each node follow this principle: - Node at the top-left most junction: \(20 A = 9 A + I_1\) - Node between \(R_1\) and
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