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Simplify the following Block Diagram using the block diagram plification rules. 1 1 s+ 2 s + 3

Simplify the following Block Diagram using the block diagram plification rules. 1 1 s+ 2 s + 3

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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**Block Diagram Simplification Example** **Objective:** Simplify the following block diagram using block diagram simplification rules. **Diagram Explanation:** 1. **Input Signal:** - The diagram starts with an input signal entering a summation block. 2. **Summation Block:** - This block has three inputs: the main input signal and two feedback loops. - It produces an output that feeds into a transfer function block. 3. **Transfer Function Blocks:** - The first block is labeled \( \frac{1}{s+2} \). - The output of this block is directed to a gain block labeled with a multiplier of 4. 4. **Feedback Loop:** - The output from the gain block (4) is looped back to the summation block. - Prior to the summation block, the loop passes through a gain block labeled as 3. 5. **Subsequent Stage:** - The output of the first transfer function \( \frac{1}{s+2} \) goes through a second transfer function \( \frac{1}{s} \), followed by another gain block labeled 4. - This sequence then feeds into an additional transfer function labeled \( \frac{1}{s+3} \). 6. **Final Output:** - The output from the block \( \frac{1}{s+3} \) serves as the final output of the entire block diagram. **Note:** The diagram illustrates a dynamic system controlled by several feedback loops and gain adjustments that influence signal flow at various stages. Simplifying the block diagram involves reducing the number of blocks and loops while maintaining the same system behavior.
Transcribed Image Text:**Block Diagram Simplification Example** **Objective:** Simplify the following block diagram using block diagram simplification rules. **Diagram Explanation:** 1. **Input Signal:** - The diagram starts with an input signal entering a summation block. 2. **Summation Block:** - This block has three inputs: the main input signal and two feedback loops. - It produces an output that feeds into a transfer function block. 3. **Transfer Function Blocks:** - The first block is labeled \( \frac{1}{s+2} \). - The output of this block is directed to a gain block labeled with a multiplier of 4. 4. **Feedback Loop:** - The output from the gain block (4) is looped back to the summation block. - Prior to the summation block, the loop passes through a gain block labeled as 3. 5. **Subsequent Stage:** - The output of the first transfer function \( \frac{1}{s+2} \) goes through a second transfer function \( \frac{1}{s} \), followed by another gain block labeled 4. - This sequence then feeds into an additional transfer function labeled \( \frac{1}{s+3} \). 6. **Final Output:** - The output from the block \( \frac{1}{s+3} \) serves as the final output of the entire block diagram. **Note:** The diagram illustrates a dynamic system controlled by several feedback loops and gain adjustments that influence signal flow at various stages. Simplifying the block diagram involves reducing the number of blocks and loops while maintaining the same system behavior.
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