Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More

Question

Download Solution PDF

For a critically damped second order system, if gain constant (K) is increased, the system behaviour 

This question was previously asked in
ESE Electrical 2013 Paper 1: Official Paper
Download PDF Attempt Online
View all UPSC IES Papers >
  1. becomes oscillatory
  2. becomes under damped
  3. becomes over damped 
  4. shows no change 

Answer (Detailed Solution Below)

Option 2 : becomes under damped
Free Tests
View all Free tests >
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
6.2 K Users
20 Questions 40 Marks 24 Mins
Start Now

Detailed Solution

Download Solution PDF

Concept:

We know that for second-order system damping ratio

\(ζ = \frac{1}{{\surd K}}\)

K = gain constant

Now for a critically damped system if we increase gain constant K then decreases in damping ratio

K ↑ → ζ ↓ 

then system behaviour becomes underdamped

Download Solution PDF
Latest UPSC IES Updates

Last updated on May 28, 2025

->  UPSC ESE admit card 2025 for the prelims exam has been released. 

-> The UPSC IES Prelims 2025 will be held on 8th June 2025.

-> The selection process includes a Prelims and a Mains Examination, followed by a Personality Test/Interview.

-> Candidates should attempt the UPSC IES mock tests to increase their efficiency. The UPSC IES previous year papers can be downloaded here.

More Standard Second Order System Questions

Q1.For a critically damped system, the type of closed loop poles are:
Q2.Which of the following conditions is true for over-damped systems?
Q3.The second derivative input signals modify which of the following?
Q4.The critical damping is said to occur when the frequency of damped vibration is
Q5.A two stage amplifier with negative feedback has an overshoot when damping factor K is:
Q6.Overall transfer function of a system is given as \(G(s) = \frac{{(2s + 1)}}{{({s^2} + 2s + 5)}}\).The system is characterized as
Q7.For a critically damped second order system, if gain constant (K) is increased, the system behaviour 
Q8.A unity feedback system has an open-loop transfer function  \(G\left( s \right) = \frac{K}{{s\left( {s + 10} \right)}}\) If the damping ratio is 0.5, then what is the value of K?A unity feedback system has an open-loop transfer function If the damping ratio is 0-5, then what is the value of K?
Q9.For an overdamped system consisting of poles at -4 and -6a/4 the poles can lie at (-3 + j4) if the damping ratio is
Q10.When two identical first order systems have been cascaded non-interactively the unit step response of the system will be

More Time Response Analysis Questions

Q1.A unity feedback system is characterized by the open-loop transfer function \(G(s)=\frac{100}{s(5 s+10)(2 s+10)}\) The steady-state errors for unit-step and unit-ramp inputs are :
Q2.In the circuit shown switch is closed at t = 0. The time constant of the circuit is :
Q3.Consider a causal second-order system with the transfer function \(G(s)=\frac{1}{s^2+2 s+1}\) with a unit-step \(R(s)=\frac{1}{s}\) as an input. Let c(s) be the corresponding output. The time taken by the system output c(t) to reach 94% of its steady-state value \(\displaystyle \lim _{t \rightarrow \infty} c(t)\), rounded off to two decimal places, is
Q4.The output of a standard second-order system for a unit-step input is given as \(y(t)=1-\frac{2}{\sqrt{3}} e^{-t} \cos \left(\sqrt{3} t-\frac{\pi}{6}\right)\). What is the transfer function of the system?
Q5.A second-order system has a closed-loop transfer function given by \(G(s)=\frac{25}{s^2+8 s+25}\). The settling time for 5 percentage band in tolerance error is
Q6.A second-order system has a transfer function given by \(G(s)=\frac{25}{s^2+8 s+25}\). If the system, initially at rest, is subjected to a unit-step input at t = 0, the second peak in the response will occur at
Q7.Steady state error is the value of error signal when:
Q8.A closed loop system is shown in the figure where k > 0 and α > 0. The steady state error due to a ramp input (R(s) = α/s2) is given by 
Q9.The nature of the response shown below is:
Q10.When the damping ratio ζ (zeta) lies in between 0 < ζ < 1, then the circuit classification comes under:
Crack GATE Electrical with
India's Super Teachers
Explore Supercoaching For FREE
Suggested Test Series
View All >
UPSC ESE (IES) Civil Mock Test Series
116 Total Tests with 1 Free Tests
Start Free Test
UPSC ESE (IES) Prelims Paper 1 Mock Test Series
54 Total Tests with   1 Free Tests
Start Free Test
Suggested Exams
Exam-Logo
UPSC IES

UPSC IES Important Links

More Control Systems Questions

Q1.A unity feedback system is characterized by the open-loop transfer function \(G(s)=\frac{100}{s(5 s+10)(2 s+10)}\) The steady-state errors for unit-step and unit-ramp inputs are :
Q2.In the circuit shown switch is closed at t = 0. The time constant of the circuit is :
Q3.The loop transfer function of a closed-loop control system is given as : \(G(s) H(s)=\frac{k(s+1)}{s(s+2)(s+3)}\) The centroid of the asymptotes in root locus is :
Q4.For a control system having fourteen poles and two zeros, the slope in its magnitude plot for high frequency asymptote will be :
Q5.The Routh Array is as below : \(\begin{array}{lllll} \mathrm{S}^{6} & 1 & 8 & 20 & 16 \\ \mathrm{S}^{5} & 2 & 12 & 16 & \\ \mathrm{S}^{4} & 2 & 12 & 16 & \\ \mathrm{S}^{3} & 0 & 0 & & \end{array}\) The row of zero of this array will be replaced by coefficients of 
Q6.The number of roots in the left half of the s-plane for a system having characteristic equations : s3 + 5s2 + 7s + 3 = 0 is : 
Q7.Explain the pattern and trend of public expenditure on social services in the post reforms period in India. To what extent this has been in consonance with achieving objective of inclusive growth? 
Q8.The Nyquist criterion for stability states that an amplifier is unstable if the Nyquist curve encloses the -1 + j0 point, and the amplifier is stable if the curve does not enclose this point. If Aβ
Q9.The phase margin of a system with the open-loop transfer function \(G(s) H(s)=\frac{1-s}{(s+1)(s+2)}\) is
Q10.The phase margin of a system having the loop transfer function \(G(s) H(s)=\frac{2 \sqrt{3}}{s(s+1)}\) is
Important Exams
Super Coaching
Exams
Test Series
Previous Year Papers
Objective Questions
Testbook USA SAT Exam
Testbook USA ACT Exam
US College Admissions Guide
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti boss teen patti master plus real teen patti