Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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### Resistor Network Diagram

This diagram demonstrates a complex resistor network between two points, \( A \) and \( B \). The network consists of eight resistors connected in a combination of series and parallel configurations. The goal is often to determine the equivalent resistance, \( R_{AB} \), between points \( A \) and \( B \).

- **Between Points A and the Junction:**
  - There is a \( 12 \, \Omega \) resistor.

- **Parallel Connection:**
  - From the junction after the \( 12 \, \Omega \) resistor, one branch connects through a \( 6 \, \Omega \) resistor.
  - The other branch goes through a \( 3 \, \Omega \) resistor.

- **Intermediate Connection:**
  - The branches from the \( 6 \, \Omega \) and \( 3 \, \Omega \) resistors combine and connect through a \( 2 \, \Omega \) resistor, forming the next junction.

- **Another Parallel Connection:**
  - From this next junction, one branch connects through a \( 3 \, \Omega \) resistor.
  - The other branch goes through a \( 4 \, \Omega \) resistor.

- **Final Series Connection:**
  - After the \( 3 \, \Omega \) and \( 4 \, \Omega \) resistors, these branches combine and connect via a \( 2 \, \Omega \) resistor.
  - This combined path then connects to point \( B \).

### Description of Connections

1. The \( 12 \, \Omega \) resistor connects directly to the initial junction from point \( A \).
2. From this junction:
   - One parallel path connects through the \( 6 \, \Omega \) resistor to a second junction.
   - The other parallel path connects through the \( 3 \, \Omega \) resistor to the same second junction.
3. From the second junction:
   - A series connection through a \( 2 \, \Omega \) resistor leads to a third junction.
4. From the third junction:
   - One parallel path connects via a \( 3 \, \Omega \) resistor to the next junction.
   - The other parallel path connects via a \( 4 \, \Omega \) resistor to the same next junction.
5. From this junction:
   -
Transcribed Image Text:### Resistor Network Diagram This diagram demonstrates a complex resistor network between two points, \( A \) and \( B \). The network consists of eight resistors connected in a combination of series and parallel configurations. The goal is often to determine the equivalent resistance, \( R_{AB} \), between points \( A \) and \( B \). - **Between Points A and the Junction:** - There is a \( 12 \, \Omega \) resistor. - **Parallel Connection:** - From the junction after the \( 12 \, \Omega \) resistor, one branch connects through a \( 6 \, \Omega \) resistor. - The other branch goes through a \( 3 \, \Omega \) resistor. - **Intermediate Connection:** - The branches from the \( 6 \, \Omega \) and \( 3 \, \Omega \) resistors combine and connect through a \( 2 \, \Omega \) resistor, forming the next junction. - **Another Parallel Connection:** - From this next junction, one branch connects through a \( 3 \, \Omega \) resistor. - The other branch goes through a \( 4 \, \Omega \) resistor. - **Final Series Connection:** - After the \( 3 \, \Omega \) and \( 4 \, \Omega \) resistors, these branches combine and connect via a \( 2 \, \Omega \) resistor. - This combined path then connects to point \( B \). ### Description of Connections 1. The \( 12 \, \Omega \) resistor connects directly to the initial junction from point \( A \). 2. From this junction: - One parallel path connects through the \( 6 \, \Omega \) resistor to a second junction. - The other parallel path connects through the \( 3 \, \Omega \) resistor to the same second junction. 3. From the second junction: - A series connection through a \( 2 \, \Omega \) resistor leads to a third junction. 4. From the third junction: - One parallel path connects via a \( 3 \, \Omega \) resistor to the next junction. - The other parallel path connects via a \( 4 \, \Omega \) resistor to the same next junction. 5. From this junction: -
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