**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.

Answered: Image /qna-images/answer/b8d9aeb5-faaa-4474-bb3e-b496fceb6fbd.jpg

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...

See similar textbooks

Similar questions

two stage BJT analysis; assume lº=0 and capacitors are very large; Determine Vout at R₁ 1 mV PP RG 600 Ω www R₁ 10 ΚΩ 2.2 ΚΩ Hu Rc1 59 3.6 ΚΩ € RE1 1 ΚΩ www.l B=100 HA₁₁ R3 10 ΚΩ • 2.2 ΚΩ Rc₂ 3.6 ΚΩ Q₂ B=100 RE2 1 ΚΩ -O 16" Vcc +10 V • 10 ΚΩ
Determine the equivalent capacitance (in units of nF) of the combination shown when C = 62 nF. C 20 2C 2C 20 Select one: O A. 46.50 O B. 41.33 ОС 103.33 O D. 93.00 O E. 82.67
2лf Problem 1: What is the impedance of a 0.1 mF capacitor at 10 Hz? Express the impedance in both rectangular and polar formats. |Zc (10 Hz) = -j159.15492=159.1549-90° @=
10.25 For the following RC circuit: + e - 56 μF 22 V 7 kl a) Determine the time constant of the circuit when the switch is thrown into position 1. b) Find the mathematical expression for the voltage across the capacitor and the current after the switch is thrown into position 1. C) Determine the magnitude of the voltage vC and the current iC the instant the switch is thrown into position 2 at t=1s. d) Determine the mathematical expression for the voltage vC and the current iC for the discharge phase e) Plot the waveforms of vC and iC for the period of time extending from 0 to 2 seconds from when the switch was thrown into position 1
Matlab Question Skaler Variables Make the following variable: D) z= e?ns, where j is the imaginary number and e is Euler's number (use exp, pi)
1. For the following sinusoids, determine which one leads and by how much a. ?(?) = 10cos (4? − 60°) and ?(?) = 6sin (4? + 50°)b. ?ଵ(?) = 4cos (377? + 10°) and ?ଶ(?) = −20cos(377?)c. ?(?) = 13 cos(2?) + 5 sin(2?) and ?(?) = 15cos (2? − 11.8°)
2. The current across a 10mH inductor is yt A ost<5s (0) ={-tA 5sts 8s a) Find the inductor voltage v(t) as a function of time and sketech its graph. b) Assume that v() is periodic (T-8s). calculate the natural frequency (f), and find the ratio between average and ms value of the voltage waveform.
The reactance X of inductance L =j/wL True False The reactance X of capacitance =jwc O True False The amplitude of 12πcos(300t) =12 True False The frequency f of 12πcos(300t) =300/2π True False
Q5) For the waveform shown below, find Vrms v(1) 2 2 6 8 l10 -1
A circuit is designed with an AC source of max voltage 12 and frequency 60 Hz. The circuit has a resistance of 1050 Ohms, an inductance of 0.06 Henrys, and a capacitance of 0.009 coulombs per volt. - omega for source in rad/s? - omegaR for circuit? -XL? -XC? -phi in radians? -Z? -imax?
Given the following circuit diagram, where the impedances are R = 70, C = -j5 Q & L = j4 2. The voltage source is 3.4*cos(2500nt +90°)B. Find the voltage across the inductor (VL), in polar form, accurate to within 1% and 2º. vS(t) ( VL = C || |1₁ M ww 16 °V P
The relaxation time of mica (G = 10-15 mho/m, ɛ, = 4) is %3D 7.36 hrs 2.456 hrs 4.912 hrs 9.82 hrs