6) Consider the circuit shown in Figure 1. 2 V 12 V + M R₁ 5 A 12.5 A + 10 VR₂ 41 A 5 V≤R3 15 V || 3.5 ▼ + R4 10 V Figure 1. Circuit diagram for Problem 5. a. How many nodes are in the circuit? Label the nodes using lowercase alphabets. b. How many loops are in the circuit? Show the loops - redraw the circuit for each loop for clarity. C. Calculate the resistor values for R₁, R2, R3 and R4. d. Calculate the power absorbed in the circuit.

Introductory Circuit Analysis (13th Edition)
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**Problem 6: Circuit Analysis**

Consider the circuit shown in Figure 1.

- **Circuit Details:**

  - Voltage sources: 12 V, 10 V, 15 V
  - Resistors: R1, R2, R3, R4
  - Voltage across R1: 2 V
  - Voltage across R2: 10 V
  - Voltage across R3: 5 V
  - Voltage across R4: 10 V
  - Current through R1: 5 A
  - Current through R2: 2.5 A
  - Current through R3: 1 A
  - Current through R4: 3.5 A

- **Figure 1** shows the circuit diagram for Problem 5.

**Tasks:**

a. **Nodes in the Circuit:**
   - Determine the number of nodes.
   - Label the nodes using lowercase alphabets.

b. **Loops in the Circuit:**
   - Identify the number of loops.
   - Redraw the circuit for each loop to provide clarity.

c. **Resistor Values:**
   - Calculate the resistance for each resistor: R1, R2, R3, and R4.

d. **Power Absorption:**
   - Calculate the total power absorbed in the circuit.

**Diagram Description:**
The circuit consists of three voltage sources and four resistors arranged to create multiple paths. Current values are labeled in red, indicating the direction of flow through each resistor. 

The task involves using these parameters to perform typical circuit analysis such as determining the number of nodes and loops, calculating resistor values, and computing power absorption based on the provided voltage and current values.
Transcribed Image Text:**Problem 6: Circuit Analysis** Consider the circuit shown in Figure 1. - **Circuit Details:** - Voltage sources: 12 V, 10 V, 15 V - Resistors: R1, R2, R3, R4 - Voltage across R1: 2 V - Voltage across R2: 10 V - Voltage across R3: 5 V - Voltage across R4: 10 V - Current through R1: 5 A - Current through R2: 2.5 A - Current through R3: 1 A - Current through R4: 3.5 A - **Figure 1** shows the circuit diagram for Problem 5. **Tasks:** a. **Nodes in the Circuit:** - Determine the number of nodes. - Label the nodes using lowercase alphabets. b. **Loops in the Circuit:** - Identify the number of loops. - Redraw the circuit for each loop to provide clarity. c. **Resistor Values:** - Calculate the resistance for each resistor: R1, R2, R3, and R4. d. **Power Absorption:** - Calculate the total power absorbed in the circuit. **Diagram Description:** The circuit consists of three voltage sources and four resistors arranged to create multiple paths. Current values are labeled in red, indicating the direction of flow through each resistor. The task involves using these parameters to perform typical circuit analysis such as determining the number of nodes and loops, calculating resistor values, and computing power absorption based on the provided voltage and current values.
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