**Sketching the Polar Plot for the Given System**To sketch the polar plot for the system represented by the transfer function:\[ G(s)H(s) = \frac{10}{(s+2)(s+4)} \]Follow these steps:1. **Identify the Transfer Function:** The given transfer function is \( G(s)H(s) = \frac{10}{(s+2)(s+4)} \). This function represents the system's frequency response which is used to derive the polar plot.2. **Substitute \( s \):** In polar plots, we commonly use \( s = j\omega \), where \( \omega \) is the frequency and \( j \) is the imaginary unit. So, the function becomes \( \frac{10}{(j\omega + 2)(j\omega + 4)} \).3. **Magnitude and Phase Calculation:** To sketch the polar plot, calculate the magnitude and phase of the transfer function for different values of \( \omega \).4. **Plotting:** The polar plot is created by plotting the magnitude versus the phase angle on a polar coordinate system.Please check additional resources or textbooks for detailed mathematical steps and visual representations. **Sketching the Polar Plot for the Control System**To sketch the polar plot for the given control system, follow these steps. The system is defined by the transfer function:\[ G(s)H(s) = \frac{10}{(s+2)(s+4)} \]1. **Determine Critical Points**: - Poles: The system has poles at \( s = -2 \) and \( s = -4 \).2. **Calculate Magnitude and Phase**: - The magnitude \( |G(j\omega)H(j\omega)| \) and the phase \(\angle G(j\omega)H(j\omega)\) need to be calculated over the frequency range \( \omega = 0 \) to \( \omega \rightarrow \infty \).3. **Graphical Representation**: - As \(\omega\) varies, plot the points on the complex plane with the calculated magnitude and phase.Understanding the structure of this transfer function and following these critical steps will help appropriately sketch the polar plot of the system. For further detailed instructions and interactive examples, please refer to our dedicated section on control systems and polar plots.

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Answered: Sketch the polar plot for the system.…

Engineering

Electrical Engineering

Sketch the polar plot for the system. having 10. G(s) H(s) = 2 (5+2) (5+4)

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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