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RAB B w 2 ΚΩ 2 ΚΩ ww • 2 ΚΩ 2 ΚΩ 2 ΚΩ (e) 32 ΚΩ 1 ΚΩ 1 ΚΩ ww 51 ΚΩ

RAB B w 2 ΚΩ 2 ΚΩ ww • 2 ΚΩ 2 ΚΩ 2 ΚΩ (e) 32 ΚΩ 1 ΚΩ 1 ΚΩ ww 51 ΚΩ

Introductory Circuit Analysis (13th Edition)
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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### Series-Parallel Resistor Network **Figure (e):** The above figure shows a combination of resistors connected in a series-parallel network between two points A and B. The goal is to determine the equivalent resistance \( R_{AB} \) between these two points. **Description:** - There are two 2 kΩ resistors (in blue color) connected in series between points A and B. - Parallel to these two 2 kΩ resistors, there are three segments: - The first segment contains a single 2 kΩ resistor. - The second segment contains two 2 kΩ resistors in series followed by one 2 kΩ resistor in parallel. - The third segment contains two 1 kΩ resistors in series. **Explanation:** 1. Between points A and B, starting from the left, there are: - Two 2 kΩ resistors in series (total 4 kΩ). 2. In parallel to the first series: - Three branches, each branch containing the following resistors: 1. Middle branch - one 2 kΩ resistor. 2. Middle-right branch - two sets of 2 kΩ resistors in series followed by one 2 kΩ resistor in parallel. 3. Right branch - single 1 kΩ resistor. - These branches further connect two 1 kΩ resistors in series. **Calculation Steps:** To find the equivalent resistance \( R_{AB} \), follow these steps: 1. Calculate the total resistance of resistors in series and parallel sections. 2. Combine these resistors using series and parallel rules. 3. Sum the resistances to find the equivalent resistance \( R_{AB} \). Understanding this type of resistor network is crucial for analyzing complex circuits in electrical engineering and physics.
Transcribed Image Text:### Series-Parallel Resistor Network **Figure (e):** The above figure shows a combination of resistors connected in a series-parallel network between two points A and B. The goal is to determine the equivalent resistance \( R_{AB} \) between these two points. **Description:** - There are two 2 kΩ resistors (in blue color) connected in series between points A and B. - Parallel to these two 2 kΩ resistors, there are three segments: - The first segment contains a single 2 kΩ resistor. - The second segment contains two 2 kΩ resistors in series followed by one 2 kΩ resistor in parallel. - The third segment contains two 1 kΩ resistors in series. **Explanation:** 1. Between points A and B, starting from the left, there are: - Two 2 kΩ resistors in series (total 4 kΩ). 2. In parallel to the first series: - Three branches, each branch containing the following resistors: 1. Middle branch - one 2 kΩ resistor. 2. Middle-right branch - two sets of 2 kΩ resistors in series followed by one 2 kΩ resistor in parallel. 3. Right branch - single 1 kΩ resistor. - These branches further connect two 1 kΩ resistors in series. **Calculation Steps:** To find the equivalent resistance \( R_{AB} \), follow these steps: 1. Calculate the total resistance of resistors in series and parallel sections. 2. Combine these resistors using series and parallel rules. 3. Sum the resistances to find the equivalent resistance \( R_{AB} \). Understanding this type of resistor network is crucial for analyzing complex circuits in electrical engineering and physics.
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