English
Hindi

Question

Download Solution PDF

The transfer function of the network shown above is:

(Assuming T=RC)

This question was previously asked in
ESE Electrical 2013 Paper 1: Official Paper
Download PDF Attempt in App
View all UPSC IES Papers >

Answer (Detailed Solution Below)

Option 2 :
Free Tests
View all Free tests >
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins
Start Now

Detailed Solution

Download Solution PDF

By applying KCL at node A,

      …1)

By applying KCL at node B,

     …2)

From equation 1) and 2)-

      …3)

As we can see from the circuit diagram, VB = e0

Time constant, T = RC

Download Solution PDF
Latest UPSC IES Updates

Last updated on Jul 2, 2025

-> ESE Mains 2025 exam date has been released. As per the schedule, UPSC IES Mains exam 2025 will be conducted on August 10. 

-> UPSC ESE result 2025 has been released. Candidates can download the ESE prelims result PDF from here.

->  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.

Exams Tests Super Practice

More Mathematical Modeling and Representation of Systems Questions

Q1.By considering standard notations, the transfer function of a tachometer is of the form
Q2.Solid modeling technique uses boolean set operations to create complex objects is _______.
Q3.Which one of the following statements related to modeling of system dynamics is NOT true?
Q4.Which of the following modelling methods uses Boolean operations?
Q5.The mechanical system shown in the figure below has its pole(s) at:
Q6. The transfer function of the network shown above is: (Assuming T=RC)
Q7.Let a causal LTI system be characterized by the following differential equation, with initial rest condition \(\frac{{{d^2}y}}{{d{t^2}}} + 7\frac{{dy}}{{dt}} + 10y\left( t \right) = 4x\left( t \right) + 5\frac{{dx\left( t \right)}}{{dt}}\) where x(t) and y(t) are the input and output respectively. The impulse response of the system is (u(t) is the unit step function)
Q8.For a tachometer, ie θ(t) is the an rotor displacement in radians, e(t) is the output voltage and kt is the tachometer constant in V/rad/sec, then the transfer function \(\frac{{E\left( S \right)}}{{\theta\left( S \right)}}\) will be:
Q9.The transfer function of tachometer is of the form 

More Basics of Control Systems Questions

Q1.Non-minimum phase transfer function is defined as the transfer function
Q2.By considering standard notations, the transfer function of a tachometer is of the form
Q3.Which of the following terminologies is used in the rotational mechanical system?
Q4.Which statement about comparision for open loop and closed loop system is not correct?
Q5.The Laplace of the response is the same as the system function for:
Q6.Which of the following is not a characteristic of open loop system?
Q7.Which of the following is not an example of open loop system?
Q8.Solid modeling technique uses boolean set operations to create complex objects is _______.
Q9.A unity-gain negative-feedback control system has a loop-gain 𝐿(𝑠) given by \(\rm L(s)=\frac{6}{s(s-5)}\) The closed-loop system is ________
Q10.The input 𝑥(𝑡) to a system is related to its output 𝑦(𝑡) as   \(\rm \frac{dy(t)}{dt}+y(t)=3x(t-3)u(t-3)\) Here 𝑢(𝑡) represents a unit-step function. The transfer function of this system is ________ 
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) Electrical Mock Test Series
68 Total Tests with   0 Free Tests
Start Free Test

UPPSC AE Important Links

VacancyEligibility CriteriaExam PatternSyllabusSalary & Job ProfileResult

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
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
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
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti joy vip teen patti app teen patti joy 51 bonus teen patti online