A system, G(S), IS subject to unity feedback as shown in the figure below. The transter function is given by: G(s) = K(s+3) a(s+2)(*+8) R(s) Es) G(s) With respect to the the root locus of this system, which statement, or statements, are correct? O a. The damping ratio line of = 0.7071 is crossed for a gain in the range of K > 20 Ob. A gain in the range of K > 10 will give purely real closed loop poles O. None of the other answers O d. A gain in the range of 0 < K < 3 will give purely real closed loop poles O e. The damping ratio line of = 0.7071 is crossed for a gain in the range of K > 12

A system, G(S), IS subject to unity feedback as shown in the figure below. The transter function is given by: G(s) = K(s+3) a(s+2)(*+8) R(s) Es) G(s) With respect to the the root locus of this system, which statement, or statements, are correct? O a. The damping ratio line of = 0.7071 is crossed for a gain in the range of K > 20 Ob. A gain in the range of K > 10 will give purely real closed loop poles O. None of the other answers O d. A gain in the range of 0 < K < 3 will give purely real closed loop poles O e. The damping ratio line of = 0.7071 is crossed for a gain in the range of K > 12

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

Assume that the signal to be measured is displayed in the following form. y(t)=5sin1000t mV The time constant of the 1st order device is 100ms, K=1 V/V and its output is transferred to the 2nd order amplifier. The natural frequency and damping ratio of the amplifier is 15,000Hz and 0.8, respectively. Then, determine the expected output signal of y(t). And calculate the dynamic error and phase delay on the output. Is the chosen metrology system reasonable? If not, suggest a way.
The operational amplifier in the circuit seen is ideal and is operating within its linear region. 1. a) Calculate the transfer function Vo/Vg. 2. b) If vg=2 cos 400t V, what is the steady-state expression for vo?
Measurements conducted on a servomechanism show the system response to be: C (t) = 0.3 e 60t + 1.5 e 10t, when subjected to a unit step input. [1].Obtain the expression for the closed-loop transfer function. [2].Determine the undamped natural frequency and damping ratio of the system.
Perhaps surprisingly, we can apply the transfer-function concept to mechanical systems. Suppose we have a mass m moving through a liquid with an applied force f and velocity v. The motion of the mass is described by the first-order differential equationf=m dv dt +kv in which k is the coefficient of viscous friction. Find an expression for the transfer functionH( f )= V F Also, find the half-power frequency (defined as the frequency at which the transfer function magnitude is 1/2 times its dc value) in terms of k and m.
Examine the closed loop stability of a system whose open-loop transfer function is given by.G(s) H(s) =1+4s/s^2(1+s )(1+2s) use nyquist plot
The transfer function of a continuous causal LTI system is given below. is undecided. ?(s) =1/s-3 To stabilize the system, a backstop with a constant K coefficient is required as shown in the figure below. It is desired to make the HSÇ stable by pulling the unstable pole to the stable region with the feeding. a K Calculate whether there is a feedback coefficient and, if so, the range of values.
PleaseThe input-output relationship of a discrete-time LTI system is given as follows?[n] = 2x[n − 4] − 3x[n − 6].a) Determine the impulse response of the system, h[n].b) Using h[n], show that the system is causal.c) Using h[n], show that whether the system is BIBO stable or not.d) Determine the transfer function H(z). Plot pole-zero diagram. Indicate ROC.e) Using H(z), show that whether the system is stable or not.f) Determine the frequency response of the system, if exists. Why?g) Determine the impulse response of the inverse system calculated in f).
The impulse response of an LTI system is h(n) = 3δ(n) + (1/4)n u(n). Find the frequency response, H(e jω), and the difference equation of this system. An input signal x(n) = (1/3)n u(n), is applied to this system and an output signal y(n) is observed. Find the output signal, y(n), using DTFT methods. Give the system function H(z) using the frequency response H(ejω). Find the zeros, poles and ROC of this system and show them on the complex plane. Discuss the stability, causality, FIR/IIR and memory properties of this system.
1.Find the impulse response of the equivalent system (i.e,, find h[n]) such that y[n]=x[n]∗y[n]holds where h1[n]=h[n]+0.5drag[n−1], h2[n]=0.5drag[n]−0.25drag[n−1], h3 [n]=(0.5)n u[n]with u[n]denoting unit-step function. this is a signal systems question
A particular system is summarized and simplified into the model, G(s). Evaluation needs to be carried out to study the frequency response of the system. The transfer function is given as,
Using integrating, inverting, and summing amplifiers construct a circuit that solves the following first-order differential equation y'+10y = 20.
The operational amplifier in the circuit is ideal. 1. a) Find the numerical expression for the transfer function H(s)=Vo/Vg. 2. b) Give the numerical value of each zero and pole of H(s). 3. c) Use the transfer function to find the unit step response for the circuit.