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Let G(s)-7.6s. Obtain the over-all transfer function, then substitute s=1. Give the calculated value in 3 decimal places. ਪਰ 8+2 R51 Civ Cal

Let G(s)-7.6s. Obtain the over-all transfer function, then substitute s=1. Give the calculated value in 3 decimal places. ਪਰ 8+2 R51 Civ Cal

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Transcription and Analysis for Educational Purposes** --- **Problem Statement:** Let \( G_{f(s)} = 7.8s \). Obtain the overall transfer function, then substitute \( s = 1 \). Give the calculated value to three decimal places. --- **Block Diagram Description:** The system is represented by a block diagram consisting of: 1. **Input (\( R_{s1} \))**: The system starts with an input signal. 2. **Summation Junction 1**: This takes in the input \( R_{s1} \) and the feedback loop, which is defined later. 3. **Transfer Block 1** (\( \frac{1}{s} \)): This block represents an integrative action where the input function is multiplied by \( \frac{1}{s} \). 4. **Transfer Block 2** (\( s \)): The output from the integrative action is multiplied by \( s \). 5. **Summation Junction 2**: This junction adds the output from Transfer Block 2 and the output from the previous summation, which had been integrated. 6. **Transfer Block 3** (\( \frac{1}{s+2} \)): This block further processes the signal by dividing it by \( s+2 \). 7. **Transfer Block 4** (\( G_{f(s)} = 7.8s \)): This block applies the given function \( G_{f(s)} = 7.8s \) to the output of Transfer Block 3. 8. **Output (\( C_{s1} \))**: The processed signal is now the output \( C_{s1} \). The feedback loop intersects at the first summation junction from the output of Transfer Block 1. --- **Procedure:** 1. **Determine Overall Transfer Function**: Compute the overall transfer function based on the series and parallel connections in the block diagram. 2. **Substitute \( s = 1 \)**: Once the overall transfer function is derived, substitute \( s = 1 \) into the function. 3. **Calculate and Round the Value**: Perform the calculation and round the result to three decimal places, providing the final output. Having a thorough understanding of Laplace Transforms and system dynamics is crucial to solving this problem and deriving the overall transfer function accurately.
Transcribed Image Text:**Transcription and Analysis for Educational Purposes** --- **Problem Statement:** Let \( G_{f(s)} = 7.8s \). Obtain the overall transfer function, then substitute \( s = 1 \). Give the calculated value to three decimal places. --- **Block Diagram Description:** The system is represented by a block diagram consisting of: 1. **Input (\( R_{s1} \))**: The system starts with an input signal. 2. **Summation Junction 1**: This takes in the input \( R_{s1} \) and the feedback loop, which is defined later. 3. **Transfer Block 1** (\( \frac{1}{s} \)): This block represents an integrative action where the input function is multiplied by \( \frac{1}{s} \). 4. **Transfer Block 2** (\( s \)): The output from the integrative action is multiplied by \( s \). 5. **Summation Junction 2**: This junction adds the output from Transfer Block 2 and the output from the previous summation, which had been integrated. 6. **Transfer Block 3** (\( \frac{1}{s+2} \)): This block further processes the signal by dividing it by \( s+2 \). 7. **Transfer Block 4** (\( G_{f(s)} = 7.8s \)): This block applies the given function \( G_{f(s)} = 7.8s \) to the output of Transfer Block 3. 8. **Output (\( C_{s1} \))**: The processed signal is now the output \( C_{s1} \). The feedback loop intersects at the first summation junction from the output of Transfer Block 1. --- **Procedure:** 1. **Determine Overall Transfer Function**: Compute the overall transfer function based on the series and parallel connections in the block diagram. 2. **Substitute \( s = 1 \)**: Once the overall transfer function is derived, substitute \( s = 1 \) into the function. 3. **Calculate and Round the Value**: Perform the calculation and round the result to three decimal places, providing the final output. Having a thorough understanding of Laplace Transforms and system dynamics is crucial to solving this problem and deriving the overall transfer function accurately.
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Step 1: Question analysis:

Given: straight G open parentheses straight s close parentheses equals 7.6 straight s spaceobtain the overall transfer function then substitude s=1.Answer the value in 3 decimal places.

Electrical Engineering homework question answer, step 1, image 1

  • Let us reduce the block diagram by using block diagaram reduction method.
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