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Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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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