o home work lec...->Q1: A system has the characteristic equationThe range of K for a stable system is:a. K>0,46g(s) = s' + 4Ks' + (5 + K)s + 10 = 0.b. K< 0.46c0 2Q4: A system has a characteristic equation s' + 10s' +2s + 30 = 0. Using the Routh-Hurwitzcriterion, show that the system is unstable.Q5: A system has the characteristic equation s'+ 10s' + 32s' + 37s + 20 = 0. Using the Routh-Hurwitz criterion, determine if the system is stable.Q6: A control system has the structure shown in Figure E6.4. Determine the gain at which thesystem will become unstable,Answer: K = 20/7R(s)Y(s)Figure E6.4Q7: A negative feedback system has a loop transfer function(a) Find the value of the gain when the of the closed loop roots is(b) Find the value of the gain when the closed-loop system has two roots on the imaginaryL(s) = K(s + 2) (s (s - 1 )to 0.707.аxis.Q8: A system has a characteristic equationFind the range of K for a stable system.s + 2s° + (K + 1)s+ 8 = 0.Answer: K> 3

Note- as per policy we are supposed to answer one question at a time in case of multiple posted…

Answered: QI: A system has the characteristic…

Engineering

Electrical Engineering

QI: A system has the characteristic equation The range of K for a stable system is: a. K> 0.46 b. K < 0.46 c0

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

Related questions

Q: e) Suppose the two sequences x[n and h[n] are given as below. x[n] = cos n = 0,1,2,3 h[n] = 3",…

A: By substituting the sample number given in the question we get,x[n]={1,0,-1,0}h[n]={0,3,9,27} Both…

Q: HW { ! 1, -7 < x < 0 0, 0<x < T, and has period 27 f(x) = %3D Find the complex F.S. Sketch a graph…

Q: Q3. If F = x²a, + y'a, + (z² – 1) a, find F· dS, where S is defined by r= 2,0 < z < 's 2,0 < ¢ < 2r.

Q: The second order system is presented in Fig. 1. R(s) E(s) Y(s), s(s+2C0,) Figure 1: Second order…

Q: A discrete-time system is modeled by the discrete state-space equations: 0.1 Ik+1 = 1 -0.25 0 Ik +…

A: The equation for the space model is given by: xk+1=Axk+Buk,yk=Cxk Here,…

Q: In the following True or False problems, find the correct answer. 1. Very few physical systems are…

A: As per the guidelines, we supposed to answer the first three sub-parts of the questions, so please…

Q: Create plots for the second-order control system, in the same figure, given by the following…

A: Matlab code: clc; %input from userx = input('Enter 5 max range value for each zeta plot, in the form…

Q: 3.33 If F = x'a, + y'a, + (z? - 1) a, find F. dS, where S is defined by p = 2,0 < z < 2,0 < ¢ < 2T.

Q: The characteristic equation of a system is given as s³+25s²+10s+50=0. What is the number of the…

A: The root locus is an important method to find the stability of a closed-loop system using the…

Q: Find the homogeneous solution of the equation: 5y[n] – 4y[n – 1]=(1/4)", with initial condition of…

Q: The characteristic equation of a system is given by 55+35*+3S³+9S²+6S+1=0 Determine (1) Stability of…

Q: The system finction of a discrete-time system is given by: 1+32 3 H(z) = 1- / Find the poles and…

Q: You are planning a trip to a new high altitude space station. Your spacecraft is in an initial 200…

A: Present earth orbit altitude = 200 km Vis-viva equation is expressed as v = μ(2r-1a) where v -…

Q: Characteristic Eigenvalues Stability Туре Matching Plot State Space Model Equation (iv) +

A: The above question is based on state-space modeling. We assume a general representation x. = Ax + Bu…

Q: Show that in a source-free region (J = 0, ρv = 0), Maxwell’s equations can be reduced to two.…

A: FIND: Show that in a source-free region (J = 0, ρv = 0), Maxwell’s equations can be reduced to two.…

Q: B-Discuss the stability of the system given by the characteristic equation: 255 +s4 + 6s³ + 3s² + s…

A: Given: Characteristic equation: 2s5+s4+6s3+3s2+s=-1

Q: µ = 3x10-5 H/m, e = 1.2x10-1º F//m,0= 0 in an environment with H = 2 cos(101ºt – Bx) a, A /md is…

A: According to the question we have to find the value of B, D, E, and β.

Q: Given the system response of a marginally stable system: 22 H(2) = z2 +1 What input would yield an…

A: "According to the Company's policy we will solve only the first part of the question since all parts…

Q: v(t)f(t) +B where v(t) is the input, z(t) 2) A system is represented by the equation z(t) = the…

A: For the given system we have to find linear or not linear We know for Linear the output is…

Q: b) i) If F = x*a, + y?a, + (z² – 1) a, find | F.ds where S is defined by p = 2,0 < z < 2,0 <6 < 2n

A: F=x2ax+y2ay+z2-1azρ=20<z<20≤ϕ≤2π

Q: Given the following model of a dynamical system, *() = 6 x(t) + и (1), 1 0 y(t) = [0 1]xr (t), do…

A: Desired poles are at -2 and -3

Q: (b) A system is described by the following differential equations: dv(t) + 4v(t) = 3u(t) dt d0(t)…

Q: (e) Sketch the form of the function v,(t) given by Equation 1.1, where Vo is a constant and uft) is…

A: Note: Since the Question is not specified, Iam solving the First question…

Q: What is the set of all values of z for which X(z) attains a finite value? a) Radius of convergence…

A: OPTION A is correct answer

Q: Transfer function of the pulmonary system that represents alveolar pressure Pa to Pao is given by…

A: Steady state value 4

Q: Consider the system given below. r(t) y(t) G. Gp K Ge(s) Where, 1 Gp(8) (s + 1)(s + 5) 5) Find the…

A: In this question we have to find the range of k for which the closed loop sysytem is stable,The…

Q: 1. A linear control system is marginally (critically) stable when: a) \y(t}} to b) its…

A: The graph for the marginally stable system is shown below:

Q: Problem 2: iB! t=0 10 mA 50 kn 5 km 20 nF ΚΩ • In the circuit shown above the dependent current…

A: The given circuit is shown below. The value of the dependent source current is iβ. We need to find…

Q: Consider the state space representation of the system -1 0 X+ -2 X= y =[0 1]X The system is…

Q: The characteristic equation of a system is given as s3+25s2+10OS+50=0. What is the number of the…

A: Routh-Hurwitz Stability Criteria: The n-th order Characteristics equation is given by: From the…

Q: Consider the state space representation of the system X= 0 2 X+ u(1) y =[0 1]x The system is…

A: Given: A=-100-2B=11c=01 To be contallable m=BABA2B so on is not equal to zero to be observable…

Q: E6.15 A system has a characteristic equation q(s) = s6 + 9s5 + 31.25s + 61.25s %3D + 67.75s? +…

A: The solution is given below

Q: Part 1 Consider the system given by the following block diagram where K>0: R(s) C(s) G(s) G(sE…

A: Part (A):- To sketch the root locus of the given transfer function, First, find the number of…

Q: ) A system is represented by the equation z(t) = v(t)f(t) + B where v(t) is the input, z(t) the…

A: This is a linear system and time varient system.

Q: EXAMPLE 1. Use differential equation approach to find Vo(t) for t > 0. Plot the response. SW1 6 kQ 9…

A: Transient analysis Formulas used:

Q: The characteristic equation of a system is given by 2s5+6S4+6S³+18S²+12S+2=0 Determine (i) Stability…

Q: Q1) Sketch the root locus for the following system s2 + 3 s + 5 G(s)H(s): %3D s(s? – s+ 2) The…

A: . Root Locus-The root locus is the graphical location of roots of the characteristic equation as the…

Q: A discrete-time system is modeled by the discrete state-space equations: 0.1 Xk+1 = 1 -0.25 X'k +…

Q: 3. Consider the state space system [1 2 š(1) = 2 *0)- x(t)+ u(t). (a) Is the system plant stable?…

A: Given state space system x˙(t)=1021x(t)+2-2u(t)

Q: Q2 (C): Find the position, velocity, and acceleration error constants for the system given s+ 1 5…

Q: Consider a dynamical system modeled by -1/2 1/2 -1 -1/2 1/2 [11]= x. Determine æ(t) over the time…

A: Given the state space matrix: x˙=-1212-1212x+-11uy=11x We need to determine x(t) over the time…

Q: 3. A communication system has five stages, with g and attenuations of 12, 245, 68, 231, and 9 dB.…

A: In this question we will find overall gain with given individual data...

Q: d) An LTIC System is specified by the equation (D² + 5D + 6) y(t) = (D + 1) x(t) i. Find the…

A: The given equation is shown below, D2+5D+6yt=D+1xt

Q: 1-) For the system given by the differential equation y(n)=x(n)-0.5y(n-2)(fs=4KHZ), Calculate…

A: Linear time invariant systems are represented by differential equations. They can also be…

Q: HW 1, -7 <* < 0 f(x) =3 0. 0 < a< T, and has period 27 Find the complex F.S. Sketch a graph of f(a)…

Q: Decide the stability of the system, whose characteristic equation is given by S5 +254 +5S³ + 10s² +…

Q: Consider a system defined by the following ordinary differential equation: ÿ – y = u, where u =…

A: Given differential equation y..-y=uu=sin(t)y(0)=1

Question

o home work lec...
->
Q1: A system has the characteristic equation
The range of K for a stable system is:
a. K>0,46
g(s) = s' + 4Ks' + (5 + K)s + 10 = 0.
b. K< 0.46
c0 <K < 0.46
d. Unstable for all K
Q2: Utilizing the Routh-Hurwitz criterion, determine whether the following polynomials are
stable or unstable:
pi(s) = s' + 10s + 5 = 0,
p2(s) = s'+ s' + 5s? + 20s + 10 = 0.
a. pi(s) is stable, p2(s) is stable
b. pi(s) is unstable, p2(s) is stable
c pi(s) is stable, p2(s) is unstable
d. pi(s) is unstable, p2(s) is unstable
Q3: A system has a characteristic equation s + Ks' +(1 + K)s + 6 = 0. Determine the range of
K for a stable system.
Answer: K> 2
Q4: A system has a characteristic equation s' + 10s' +2s + 30 = 0. Using the Routh-Hurwitz
criterion, show that the system is unstable.
Q5: A system has the characteristic equation s'+ 10s' + 32s' + 37s + 20 = 0. Using the Routh-
Hurwitz criterion, determine if the system is stable.
Q6: A control system has the structure shown in Figure E6.4. Determine the gain at which the
system will become unstable,
Answer: K = 20/7
R(s)
Y(s)
Figure E6.4
Q7: A negative feedback system has a loop transfer function
(a) Find the value of the gain when the of the closed loop roots is
(b) Find the value of the gain when the closed-loop system has two roots on the imaginary
L(s) = K(s + 2) (s (s - 1 )
to 0.707.
аxis.
Q8: A system has a characteristic equation
Find the range of K for a stable system.
s + 2s° + (K + 1)s+ 8 = 0.
Answer: K> 3

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The electrical model of a biopotential electrode is given belowwith the given values. (a)Plot the absolute impedance of this electrode(i.e.,|Z|) with respect to the frequency using a python script and (b) discuss the frequency range to reachthe minimum absolute impedance value on this electrode. Rd:26 kΩ Rs: 6 kΩ
Find the range of K using Routh criterion such that all the roots of the characteristic equation lie between -1 and -2 s^3+8s^2+15s+K Also find the value of K for which system is limitedly stable?
The characteristic equation of control system is given as following. S3 + 6s2 + 11s + 6(1 + Kc) = 0 Determine: 1. The Value of Kc for which the control system is stable. 2. The roots of the characteristic equation for the value of Kc for which the system is on the threshold of instability.
please write an Equation for VSG, VSD and Vout . Please label the circuit to be clear.
Consider the translational mechanical network system shown on the figure. A 1-lb force, f(t), si applied at t=0. If fv=1, find K and M such that the response is characterized by a 3-sec settling time and a 2-sec peak time. Also, what is the resulting %OS?
160 Find ¥, (1) fort > 0in the net ) {he step-by-step method. work in Fy & P00 using
The equation in Excel should be of the form: , where A and b are constants. In this case, x is the independent variable representing time, and y is your current measurements. A represents the initial value of the current from , and b represents the reciprocal of the time constant, RC. This means that b = 1/RC. Since RC = (100,000 Ω)(100x10-6 F) = 10 s, therefore the reciprocal should be: b = 0.1. It is this value that want to use to verify the theoretical equation in the Background. Please answer questions in image.
(a) Assume the resistance is constant: R = 100.Check by direct substitution that the function VC (t) = 9(1 – e^−10t ) satisfies the ODE and the initial condition. (b) Now assume that the resistor slowly degrades, so that its resistance increases with time: R = R(t) = 100 + 2t. Solve the ordinary differential equation for VC (t) with this resistance, using either separation of variables, or the integrating factor method. Make sure to also include the initial condition.
NOTE: plot the response using excel or any graphing tools and determine whether it is an undamped, critically damped, underdamped, or overdamped system.
Obtain the expressions for i0 (t) and v0 (t), for all t> 0, in the network of the figure shown. Sketch the approximate behavior, as a function of time, for each of the variables.
The structural engineering design section within the engineering department of a regional electrical utility corporation has developed several standard designs for a group of similar transmission line towers. The detailed design for each tower is based on one of the standard designs. A transmission line project involving 50 towers has been approved. The estimated number of engineering hours needed to accomplish the first detailed tower design is 126. Assuming a 95% learning curve, a. What is your estimate of the number of engineering hours needed to design the eighth tower and to design the last tower in the project? b. What is your estimate of the cumulative average hours required for the first five designs?
The translational mechanical system shown in Figure Q1 is at rest for t < 0. The force u(t) is the input to the system and the displacements x1(t) and x2(t), are measured from their respective equilibrium positions. Ifm1 is1kg,k1 =k2 =k3 is1N/mandb1 =b2=b3=is1N-s/m,determine the transfer function for the system (?(?) = ?1(?)) ?(?)