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FIND The Voltage across the R3 resistoR

FIND The Voltage across the R3 resistoR

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
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FIND

The Voltage across the R3 resistoR

please answer the following question with clear explanation, show all the work

### Series-Parallel Circuit Explanation The diagram presents a series-parallel electrical circuit featuring five resistors and a voltage source. Here's a detailed breakdown: - **Voltage Source:** - **V1** is a 12V battery providing the potential difference for the circuit. - **Resistors:** - **R1**: 4 kΩ - **R3**: 3 kΩ - **R4**: 6 kΩ - **R5**: 1 kΩ ### Configuration: 1. **Series Path:** - Resistor **R1** is directly connected in series with the voltage source **V1**. 2. **Parallel Section:** - After R1, the path splits into two parallel paths: - One path with resistor **R3** leading to the ground. - Another path containing resistors **R4** and **R5** in series. 3. **Parallel Combination:** - Resistors **R4** and **R5** are in series with each other but form a parallel path with R3. ### Analysis: - **Overall Resistance and Current Flow:** - The total resistance of the circuit involves calculating the combined resistance of parallel and series resistors. - Understanding this configuration helps in calculating the total current flow and the potential difference across each component.
Transcribed Image Text:### Series-Parallel Circuit Explanation The diagram presents a series-parallel electrical circuit featuring five resistors and a voltage source. Here's a detailed breakdown: - **Voltage Source:** - **V1** is a 12V battery providing the potential difference for the circuit. - **Resistors:** - **R1**: 4 kΩ - **R3**: 3 kΩ - **R4**: 6 kΩ - **R5**: 1 kΩ ### Configuration: 1. **Series Path:** - Resistor **R1** is directly connected in series with the voltage source **V1**. 2. **Parallel Section:** - After R1, the path splits into two parallel paths: - One path with resistor **R3** leading to the ground. - Another path containing resistors **R4** and **R5** in series. 3. **Parallel Combination:** - Resistors **R4** and **R5** are in series with each other but form a parallel path with R3. ### Analysis: - **Overall Resistance and Current Flow:** - The total resistance of the circuit involves calculating the combined resistance of parallel and series resistors. - Understanding this configuration helps in calculating the total current flow and the potential difference across each component.
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Step 1: what is given and what to do:

Given a network, 

Electrical Engineering homework question answer, step 1, image 1

we need to find the voltage across the resistor R3. 


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