5. The characteristic equation of a system is given as s³+25s²+10s+50=0. What is the number of theroots in the right half s-plane and the imaginary axis respectively?b) 0,0d) 1,2а) 1,1c) 2,1The stability of closed loop control system whose characteristic equation iss+s*+2s³+2s²+11s+10=0.6.a) Stablec) Unstableb) Marginally stable( margin stable means has conjugate roots )d) None of the mentioned7.If the system is represented by characteristic equation s° +s² + s + 3 = 0, then the systemisa. Stablec. Marginally stableb. Unstabled. Unpredictable8. The no. of roots of S³ + 5S² + 7S + 3 = 0, in the right half of the s-plane isa) 2c) 0b) 3d) 1

Answered: 5. The characteristic equation of a…

5. The characteristic equation of a system is given as s³+25s2+10s+50=0. What is the number of the roots in the right half s-plane and the imaginary axis respectively? a) 1,1 c) 2,1 b) 0,0 d) 1,2

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.45P

See similar textbooks

Related questions

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: RI The state equations of the given RLC circuit are given by Equation 2 below. HE C3 e(t) R2 L4 i(t)…

Q: lle = 2+ (5 – 2)e-15t = 2+ 3e-15t A, %3D t > 0 %3D Example At t= 0, switch 1 is closed, and switch 2…

Q: P6.1. Ulilizing the Routh-Hurwitz criterion, determine stability of the following polynomials: (d)…

A: Control system stability problem . Look below for the solution..

Q: Given A = Axax +Ayay + Azaz (in cartesian coordinates) and A = Apa, +Aqaq + Azaz (in cylindrical…

A: Solution :- In above diagram it can be clearly seen that the y axis in cartesian coordinate is…

Q: Find the solution :

Q: Use Routh-Hurwitz method, characterize the system defined by the polynomial equation: P(s) = 3s6 +…

A: When a system is disturbed from its original state and comes back to its original state, then it is…

Q: The range of K for which all the roots of the equation s3+3s2+2s+K=0 are in left half of the complex…

Q: D3.9. Given the field D = 6p sin o a, +1.5p cos o a, C/m2, evaluate both sides of the divergence…

Q: The polar coordinates (r,) of the point with the cartesian coordinates (2,-23), where rco and os AS…

Q: 1) The function (g) is defined by: g(1) = cos(0,5(). 1G). where II (t) denotes the rectangular…

Q: The range of K for which all the roots of the equation s3+3s2+2s+K=0 are in left half of the complex…

A: Given characteristic equation, s3+3s2+2s+K=0

Q: Given the following two rectangular sequences n = 0,1,2 n = 3,4 otherwise -2 x(n) =} 1 n = 0 n = 1,2…

Q: ▪ Q/ (a) Give the rectangular coordinates of the point C(p = 4.4, Ø =-115•, z= 2). (b) Give the…

A: Distance between two points: Here we can use Euclidean distance between two points in terms of…

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

Q: 2.1 For the following polynomial for 1+ G(s)H(s) = 0 and using Routh's method for stability, is this…

Q: 2. Analyze the given circuit by the Laplace Method using the ambient currents method, and Find the…

A: For the given circuit, we need to perform a steady-state analysis to determine the voltage vo(t). We…

Q: Choose the correct Answer of the following: i-The insulation used in high voltage circuit breakers…

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: The characteristic equation of a system is given by S5+3S4+3S³+9s²+6S+1=0 Determine (i) Stability of…

Q: Q3. Let V = x +e sinzx. a) show that V is satisfying the Laplace's equation, b) find E at P(0.5,1,3)

Q: The switch in the circuit shown has been closed for a long time. At t=0 it opens. Use Laplace…

A: when the switch was closed the current I1 is given as ; i1=100/10 i1=10 A Thus after the switch is…

Q: Q2): Sketch the root locus for the system shown below and find the points intersection with the…

Q: Problem 3. (A08) Given the signals x and y as shown below, let z 4 wy. Express z in case-defined…

Q: Given G(s) = s(s^2+25)/ (s^2+8s+16). Therefore, this system has, a. repeated zeroes b. repeated…

Q: PRACTICE EXERCISE 2.1 (a) Convert points P(1, 3, 5), T(0, –4, 3), and S(-3, -4,-10) from Cartesian…

A: In this question 3 points P,T and S given in Cartesian coordinate system....We have to convert them…

Q: Given G(s) = s(s^2+25)/ (s^2+8s+16). Therefore, this system has, a. imaginary zeroes b. repeated…

A: There are two repeated poles and zeros at origin and imaginary axis of s-plane.

Q: Use the Routh-Hurwitz criterion to determine the number of roots in the left hand plane, in the…

Q: The characteristic equation of a system is given as s^3+25s^2+10s+50=D0. What is the number of the…

Q: 5. Squaring both sides and substituting for i1 + ip2 = | gives ipi – 2/ipiiD2 + ip2 1 knT Vid 2 inim…

A: Transistors : A semiconductor device that is used to boost electronic signals and electrical power.…

Q: For L1=13, L2=18, L3=15, L4=33, L5=78, L6=32, L7=15, L8=59, L9=34 in the circuit shown below, Find…

A: In the circuit Inductance are connected in series parallel combination. Find the equivalent…

Q: Quèstion 5 In Cartesian coordinates, the position vector at point (3, 60, 1) is represented by…

A: In the question, choose the correct option, The position vector at the point P(3, 60,1) is?…

Q: Determine the Laplacian of the scalar fields of Practice Exercise 3.3, that is, (a) U = x'y + xyz…

A: find laplacian of the scalar fields in cartesian, cylindrical and spherical coordinates ?

Q: Prove a systems³ – 3s² + s + 5 is unstable using the S-Plane and the Routh Hurwitz criterion. (c)

A: In this question, Check the given system is stable or unstable using the routh Hurwitz. Number of…

Q: 5.5 Complex poles and zeros. Sketch the root locus with respect to K for the equation 1 + KL(s) = 0…

A: Part (a): Consider the given transfer function, Ls=1s2+3s+10=1s-1.5+j2.78s-1.5-j2.78 There are no…

Q: control system

A: (a) Draw the free-body diagram of mass and shaft.

Q: ▪ Q/ (a) Give the rectangular coordinates of the point C(p = 4.4, Ø =-115°, z= 2). (b) Give the…

A: Given, a) C(p=4.4, phi= -115°, z=2) b) D(x=-3.1, y=2.6, z=-3) C) distance means here we can use…

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: Assuming all conditions to be zero, the unit step response of the system described by the difference…

A: According to the context of the given question, The difference equation is given as follows:- y(n)…

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

Q: Characteristic equation of a system is given by S+6S4+15S³ +30S?+44S+24=0. Determine the stability…

A: Given characteristic equation of a system CE=s5+6s4+15s3+30s2+44s+24=0

Q: D3.9. Given the field D = 6p sin o a, +1.5p cos o a, C/m2, evaluate both sides of the divergence…

A: According to the divergence theorem ∮∇D dv = ∮D dρ

Q: Q1) A-Show that V = V, (1 – )p sin(Ø), where V is constant, satisfies Laplace's equation. B-…

Q: * + Ax f(t) Delta function / distribution ... Consider i + Ax = f(t), A > 0, with various input…

A: Given differential equation is - dxdt+λx=ftWhere,λ>0xo=0

Q: Use the differential equation method to find i(t) for t>0 in the circuit above, given that C, = 0.23…

A: We are given a circuit: Given: Ix=7 mA; Cx=0.23 mF (a) We have to find i1t for t>0 using…

Q: The characteristic equation of a system is given by S5+2S4+S3+2S2+S+5=0 Determine (i) Stability…

Q: 1. Evaluate the following characteristic equations using both Hurwitz criterion a) s3 +2s2…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Consider a point Po (4, w/3, w/4) in spherical coordinates. The point Po in rectangular coordinate…

Q: Q3: Analyze the system G(s) =; , and replace the poles by the desired poles -1, -3, -5. (C4)…

A: We are authorized to answer one question at a time, since you have not mentioned which question…

Question

5. The characteristic equation of a system is given as s³+25s²+10s+50=0. What is the number of the
roots in the right half s-plane and the imaginary axis respectively?
b) 0,0
d) 1,2
а) 1,1
c) 2,1
The stability of closed loop control system whose characteristic equation is
s+s*+2s³+2s²+11s+10=0.
6.
a) Stable
c) Unstable
b) Marginally stable( margin stable means has conjugate roots )
d) None of the mentioned
7.
If the system is represented by characteristic equation s° +
s² + s + 3 = 0, then the system
is
a. Stable
c. Marginally stable
b. Unstable
d. Unpredictable
8. The no. of roots of S³ + 5S² + 7S + 3 = 0, in the right half of the s-plane is
a) 2
c) 0
b) 3
d) 1

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

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

03: (A): Using Routh's criterion, determine the stability of the closed-loop system that has the following characteristic equation: S4 + 2S³ + 10S² + 20S + 5 = 0
The block diagram of a mechanical transmission system shown in Figure Q11, where K is a positive gain. K (s+20) s(s+1)(s+10) Figure Q11
Given the closed loop system determine the a) number, location of the poles in the S-plane b) number of asymptotes c) number of zeros d) intersection of asymptotes. Draw the corresponding S-plane showing the poles and the zeros.
The characteristics equation for a closed- loop discrete- time system is given by P(Z) = 3Z4 – 2Z3 +Z2 -2Z+1 Comment on the stability of the system using Jury stability criterion.
11) In a reversible adiabatic process the ratio (T2/T1 ) is equal to (P2/P1 )^((y-1)/y) ) TRUE FALSE
A certain servomechanism system has dynamics dominated by a pair of complex poles and no finite zeros. For this system, do the following.
The value of d28/dt2 for a synchronous machine, rated 50MVA, 60HZ, M = 1.06MJ.s/degree, and Pa = 2.5MW, machine is %3D a. 0.424 rad/s2 O b. 3.356 rad/s2 c. 2.358 rad/s2 d. 0.4.356 rad/s2
At one time, three phases symmetrically connected by a proverb, according to the figure on the next slide, are linear currents: Ia 100445° A I, = 1502 – 60° A A) Obtain the symmetric components of linear currents and fuzzy currents. B) Calculate the fuzzy currents passing through the Z impedance. la lab- Ibe le
Discuss the pressure response in figure I after using the PID controller in tems of the Rise Time, Steady State Error, Settling Time, and Overshoot. Pressure vs Time Setpoint Actual 1532 26 15:1241 15:256 Time ARKR ES (ed)
2-The Magneto motive force of a steel-ring of 25 cm mean diameter- If it is wound uniformly with 700 turns of wire carrying a current of 2 amp. a-1500 AT b-2000 AT c-1800 AT d-1400 AT 3-The self-inductance cocfficient of a d.c. electromagnet- whose field winding is wound with 960 turns and has resistance of 50 2 when the exciting voltages is 230 V and the magnetic flux linking the coil is 0.005 Wb. a-10.43mH b-10.43H c-1.043H d-0.1043 H 4- An iron rod, 2 cm in diameter and 20 cm long is bent into a closed ring and is wound with 3000 turns of wire. It is found that when a current of 0.5 A is passed through this coil, the flux density in the coil is 0.5 Wb/m2. The magnetic field intensity of it -- a-300AT/m b-30AT/m c-3000AT/m d-300AT/cm
Nyquist criterion, how many closed loop poles are in the right half plane (1st picture) Nyquist criterion, how counter-clockwise encirclements of -1 made mapping are in the system (2nd picture)
1- Please, Derive Equation of Motion for the 2DOF system with Harmonic force due to the Shaker in the Magnetostrictive Energy Harvesting. Note: I want EOM in Matrices form to get Natural frequencies and mode shapes + Steady-State Response of Spring-Mass System