2.5 0 1.5 0 0.36 V C0.6N 0.5 0 0.9 N

Introductory Circuit Analysis (13th Edition)
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Using the voltage divider rule, determine the voltage Vab in the circuit below.  Vab=Va-Vb

 

The image shows an electrical circuit diagram containing a direct current (DC) voltage source and several resistors arranged in a rectangular configuration. Here is a detailed transcription for educational purposes:

**Circuit Diagram Description:**

1. **Voltage Source:** The diagram includes a DC voltage source of \(0.36\) volts.
   
2. **Resistors:** 
   - There are four resistors in the circuit, each with different resistance values:
     - The top left resistor is \(2.5 \Omega\).
     - The top right resistor is \(1.5 \Omega\).
     - The bottom left resistor is \(0.5 \Omega\).
     - The bottom right resistor is \(0.9 \Omega\).
     - Additionally, there is a central resistor with a value of \(0.6 \Omega\) connected vertically in the circuit.
   
3. **Nodes and Potential Difference:**
   - The circuit has two main nodes labeled \(a\) and \(b\), positioned vertically adjacent to each other in the middle of the diagram.
   - The potential difference between nodes \(a\) and \(b\) is denoted as \(V_{ab}\).

4. **Connections:**
   - From the positive terminal of the voltage source, the current flows through the \(2.5 \Omega\) resistor, reaching node \(a\).
   - The current then flows from node \(a\) through the \(1.5 \Omega\) resistor and towards the \(0.6 \Omega\) resistor.
   - The other side of the \(0.6 \Omega\) resistor is connected to the negative terminal of the voltage source through the \(0.9 \Omega\) and \(0.5 \Omega\) resistors, closing the circuit.

**Explanation and Educational Context:**

This circuit example illustrates how resistors and a voltage source can be connected in a series-parallel combination. It introduces the concept of nodes, potential difference, and how to analyze simple circuits for educational purposes. Students learning about electrical circuits can use this diagram to practice calculating equivalent resistance, analyzing current flow, and understanding Kirchhoff’s laws.

To calculate the individual currents and potential differences across each component, one would apply Ohm's Law and Kirchhoff's Voltage and Current laws. This circuit can be used as an example problem for practicing these fundamental principles in electrical engineering and physics.
Transcribed Image Text:The image shows an electrical circuit diagram containing a direct current (DC) voltage source and several resistors arranged in a rectangular configuration. Here is a detailed transcription for educational purposes: **Circuit Diagram Description:** 1. **Voltage Source:** The diagram includes a DC voltage source of \(0.36\) volts. 2. **Resistors:** - There are four resistors in the circuit, each with different resistance values: - The top left resistor is \(2.5 \Omega\). - The top right resistor is \(1.5 \Omega\). - The bottom left resistor is \(0.5 \Omega\). - The bottom right resistor is \(0.9 \Omega\). - Additionally, there is a central resistor with a value of \(0.6 \Omega\) connected vertically in the circuit. 3. **Nodes and Potential Difference:** - The circuit has two main nodes labeled \(a\) and \(b\), positioned vertically adjacent to each other in the middle of the diagram. - The potential difference between nodes \(a\) and \(b\) is denoted as \(V_{ab}\). 4. **Connections:** - From the positive terminal of the voltage source, the current flows through the \(2.5 \Omega\) resistor, reaching node \(a\). - The current then flows from node \(a\) through the \(1.5 \Omega\) resistor and towards the \(0.6 \Omega\) resistor. - The other side of the \(0.6 \Omega\) resistor is connected to the negative terminal of the voltage source through the \(0.9 \Omega\) and \(0.5 \Omega\) resistors, closing the circuit. **Explanation and Educational Context:** This circuit example illustrates how resistors and a voltage source can be connected in a series-parallel combination. It introduces the concept of nodes, potential difference, and how to analyze simple circuits for educational purposes. Students learning about electrical circuits can use this diagram to practice calculating equivalent resistance, analyzing current flow, and understanding Kirchhoff’s laws. To calculate the individual currents and potential differences across each component, one would apply Ohm's Law and Kirchhoff's Voltage and Current laws. This circuit can be used as an example problem for practicing these fundamental principles in electrical engineering and physics.
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