Assume the following block diagram for the entire exam. 1. R[0] + If G[s] the root locus. + ²[0]√][G₂ [p] (E[A]. (a) - 0.5 (b) - 1.5 (c) - 2.5 (d) - 3.5 = (s+2) (s+1)(s²+4s+3) [G[₂] Y[s] and Ge[s] = K, select all the real axis points that are on

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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### Block Diagram Analysis

The provided block diagram is for analysis within the entire exam. It features the following components:

- **R(s):** Input to the system.
- **Σ (Summation Block):** Combines inputs; the output is E(s).
- **G₁(s):** Controller with transfer function \( G_C(s) \).
- **G(s):** Plant with transfer function \( G(s) \).
- **Y(s):** Output of the system.

### Task Description

1. **Root Locus Problem:**

   The problem involves determining the real axis points on the root locus given the transfer functions:
   
   - \( G(s) = \frac{s+2}{(s+1)(s^2+4s+3)} \)
   - \( G_C(s) = K \)
   
   **Select all the real axis points that are on the root locus from the options:**
   
   - (a) \(-0.5\)
   - (b) \(-1.5\)
   - (c) \(-2.5\)
   - (d) \(-3.5\)
Transcribed Image Text:### Block Diagram Analysis The provided block diagram is for analysis within the entire exam. It features the following components: - **R(s):** Input to the system. - **Σ (Summation Block):** Combines inputs; the output is E(s). - **G₁(s):** Controller with transfer function \( G_C(s) \). - **G(s):** Plant with transfer function \( G(s) \). - **Y(s):** Output of the system. ### Task Description 1. **Root Locus Problem:** The problem involves determining the real axis points on the root locus given the transfer functions: - \( G(s) = \frac{s+2}{(s+1)(s^2+4s+3)} \) - \( G_C(s) = K \) **Select all the real axis points that are on the root locus from the options:** - (a) \(-0.5\) - (b) \(-1.5\) - (c) \(-2.5\) - (d) \(-3.5\)
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