An industrial plant is governed by the the following differential equation(adıdu(t)dt+bu(t)1)).d³y(t) _d²y(t)dt3+c+dd¹y(t)dt²dt¹,where u is the input and y the output.R(s)E(s)U (s)Y(s)C(s)G(s)Derive the transfer function G(s) from the input u tothe output y.k=

Answered: Image /qna-images/answer/9b1187e7-6529-4577-a3c2-fff4730513c4.jpg

An industrial plant is governed by the the following differential equation kladu du(t) dt +bu(t) ₁)) = = d³y(t) d²y(t) d¹y(t) dt3 +c +d dt² dt, where u is the input and y the output. R(s) E(s) U (s) Y(s) C(s) G(s) Derive the transfer function G(s) from the input u to the output y.

An industrial plant is governed by the the following differential equation kladu du(t) dt +bu(t) ₁)) = = d³y(t) d²y(t) d¹y(t) dt3 +c +d dt² dt, where u is the input and y the output. R(s) E(s) U (s) Y(s) C(s) G(s) Derive the transfer function G(s) from the input u to the output y.

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: 5. Derive an equation for the output voltage, vo(t), in terms of vi(t) and v₂(t). M R₂ vi(t) R₁ M…

A: In this op-amp circuit we need to calculate the Vo(t) in terms of V1(t) and V2(t). Circuit:-

Q: Get the total response of the LTI system step input and initial conditions y(0) + 3 dy(t) d²y(t) dt²…

Q: A system is described by the following differential equation: d³y +3d²y + 5d + y = dy d³x dt ³ dt dt…

A: A system characterized by a differential equation, we need to find the transfer function, .

Q: Consider the signal: x(t) = exp(-rt) cos(t) u(t) where u(t) is a step function. The signal x(t) will…

Q: Select all the terms that are part of the minimum Sum of Products for the following 4-variable…

A: Given: The 4-variable function, fa,b,c,d=∑m2,3,4,6,7,10,11+∑d5,12,13

Q: C. x(t) = e-2'u(t)

Q: 11. Is the signal x(n)=u(n+ 4)– u(n– 4) causal? a) YES %3D b) NO

A: 11. The signal X(n)=u(n+4)-u(n-4) X(n)=u(n+4)-u(n-4)n=0X(0)=u(0+4)-u(0-4)X0=u4-u-4The response of…

Q: 2) Analyze the linearity, time-invariance, BIBO stability and causality of the system with input…

Q: Find total response Y(s) if input signal x(t) = 2e¬3(t-3)u(t – 3). Initial conditions are v"(0-) =…

Q: 4. A continuous-time linear system with input r(t) and output y(t) yields the following input-output…

A: In this question, Choose the correct options What is output if input is x1(t) We know cos at= (ejat…

Q: Signals and Systems

Q: (a) Perform second-order difference operation using the following equation, and sketch the result…

A: The solution is given below

Q: Please answer with detail of step by step ( for mathematic so find the value) a.Find the response…

Q: Problem 1 v(t) +1] Find the transfer function R₁ www i₁(t) 0000 12 (s) V(s) R₂ www i₂(1) C + vc (t)

Q: The block diagram of a time-invariant, linear, continuous-time system is given below. X 1 (s) and X…

Q: a) 8 S COOH k a x k=" 100

A: We need to find out the transfer function and difference equation for given system .

Q: r(t) 10 d(t) a. Damping ratio b. Natural frequency c. Final value of the output + a) Obtain the…

Q: 7. What is the response to unit step function input when all initial conditions are zero. R + 2 C…

Q: a, (t) = 0.5e(180nt+ ) + 0.5e¬j(180zt+4) is sampled at F, 300 Hz.

Q: Q\ Compute the convolution of the following signals for n 2 0 = (u)'x ()" for n<0 and X2(n) = ()"…

Q: The function f(A, B, C, D) = Em[6, 7, 8, 9, 13, 15] The number of essential prime implicants are

A: This question belongs to digital electronics . It is based on the concept of counting number of…

Q: For the following differential equations find the state and outpul By(1) dt (b) 25 +34y@ +542 +2yr)…

Q: This is a practice question from the Signal and Systems course of my Electrical Engineering Program.…

A: The input x(t) for the given LTI system has been calculated . A detail explanation has been provided…

Q: A linear time invariant system is described by the following differential equation: Find out the…

A: The input-output relation of the linear time invariant system is given as

Q: Convert differential equations to transfer function

A: For the calculation of transfer function one needs to know about the input and output of the system.…

Q: -2et + 2e-2t V.(t) + 1.5 e=t = dV.(t) + 0.5- dt? d?V.(t) dt 2 O a. -2t O b. -2e-t + 2te-t c. C.…

Q: (2t+2)8(t-1) =. cos (t) 6(t+) S (e*) o(t+1)dt S (?-2) 8(2-t) dt

Q: Solve the given initial-value problem. Give the largest interval I over which the solution is…

Q: Determine the transfer function Vout (S) of the electrical circuit given below. Vin (S)

A: Given- RLC in series with Input voltage = VI(t) Output voltage = Vo(t) To find- Transfer function…

Q: al CT LTI system has the following transfer function. (S-2)s2+8s+50 step x(t) = u(t) is applied to…

Q: 7. Obtain the transfer function E (s)/E;(s) of the electrical circuit shown below. ei R₁ ww i₁ L R₂…

Q: Calculate the transfer function from the following state space representation. [o o BHE 1 1 X2 +0 1…

A: Option B Answer shown below

Q: For a closed loop system, the transfer function is 00 02 02 O ∞ 2 X(s) 3²+75 - What is the steady…

Q: The following are the impulse responses of continuous time LTI systems. Determine whether each…

Q: X(s) a. F(s) s + 5s + 10 7 %3D X(s) b. 15 F(s) (s+ 10)(s+11) X(s) c. F(s) s+3 3+11s² + 12s+ 18

A: Poles are the points on s plane where denominator of transfer function is zero. Zeroes are the…

Q: デジタル形式で段階的に解決ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT Consider series LRC circuits that are…

A: calculations:**A) Determining the Characteristic Equation:**We have the characteristic equation:\[…

Q: A sequential circuit with two FFs A & B , two inputs (XY) , and output Z has a state table given…

Q: Sketch the continuous-time signal below and specify if the signal is: a. Causal/ non-causal/ anti…

A: Given: ft=1t<-1-t-1<t<1-1t>1

Q: Consider the discrete-time convolution y[n] = x[n] + h[n]. What is the number of non-zero values of…

A: If length of sequence x is L And length of sequence h is M Then length of sequence y is L+M-1

Q: Below is the differential equation of a system. d df 2 (t) d dt == x₁ (t) = x₂(t) 704x₁(t) x₂(t) +…

A: We need to determine the transfer function Y(s)/U(s) using Mason's Gain Formula by drawing a signal…

Q: Solve correctly please. Problem 6: The transfer function of a certain system is given: a) Write the…

A: In this question, We need to determine the differential equation if output is x and input is u(t).…

Q: Which of the following statements is incorrect about the function f(n)= 100n6+n5+3n2+5000? O…

A: Given function is f(n)=100n6+n5+3n2+5000 First option is f(x)=○x6 i.e; f(x)≤c.n6 ∀x≥x∘ [Where c and…

Question

An industrial plant is governed by the the following differential equation
(adı
du(t)
dt
+bu(t)
1)).
d³y(t) _d²y(t)
dt3
+c
+dd¹y(t)
dt²
dt¹,
where u is the input and y the output.
R(s)
E(s)
U (s)
Y(s)
C(s)
G(s)
Derive the transfer function G(s) from the input u to
the output y.
k
=

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Different Types of System and Its Property

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

Please do a,b,e,f,h asap please
For the system shown, a =236.6 and b =131.3, what is the steady-state error to a constant reference input, r(t)=1.4? R(s) C(s) s + a s + b
Simplify
SOLVE STEP BY STEP IN DIGITAL FORMAT DONT USE CHATGPT 21. In the circuit of the following figure. Find V(t) and i(t) for t>0. Suppose that V(o) = OV and i(o) = 1 A. 4u(t) A 292 www + pl 0.5 F ell i 1 H
Given the following transfer function, what is the unit step response? y(0-)=0 a) y(t)=e¹ b) y(t)=(1-e¹)u, (1) c) _y(t)=e¹+(1-e¹²¹) 1 Y(s) U(s) s+1 d) Ran out of time or don't know how to do this
Kindly solve what is ask with complete solution so that I can understand. I want a handwritten solution. Thank you!!!!
Required information Consider the CTFT pair. u (t – 10) – u (t + 10) → A sinc (b@) The numerical values of the literal constants are A = |and b=
signals and systems
What is value of steady state error if input is step input u(t).
V1(s)/I1(s)
Find the transfer function x2/F and x1F. Where, K= 1/2, K2= 1, K3= 3+c fv1=1, fv2= 1+b, fv3= 3/2 M1= 5+a, M2 = 4 Represent a=2, b=1, c=4
Introduction The Riemannian Sum is a discrete-time approximation of integration (which is a continuous time operation). The discrete-time approximation is useful because it allows integration to be performed on computer systems which are based on digital electronics. Digital electronics can only have discrete states (1s and Os) therefore all continuous-time signals are represented as a discrete-time signals on a computer system. Knowledge of the following topics is required to complete this assessment: Sampling - Converting x(t) to x[n] Converting between sample number (n) and time taken to reach that sample. This is discussed in Lecture 1. Nyquist Sampling Theorem - Discussed in Lecture 1. Overall Objective The objective for this assessment is for the student to write a C/C++ program that will generate a signal x[n]. The values (t) will be sent to a text file. This text file will then be used in MS Excel to plot the signal. each sample of the signal and the value of the time The area…