Question 03: a) - The following RC circuit is described by a constant coefficient differential equation.v,(t)v,(t)+-vc(t)OutputInputdv,(t)RC:dtdv,(t)+ v,(t) = RC -dtAssuming the behavior of this circuit as an LTI system, Identify its frequency response.

Answered: Image /qna-images/answer/64214dc2-a5ff-4e31-92aa-3f6c189c3ed4.jpg

Answered: v,(t) v,(t) +vc(t) Output Input dv,(t)…

v,(t) v,(t) +vc(t) Output Input dv,(t) RC- + v,(t) = RC dt (1)*ap° dt Assuming the behavior of this circuit as an LTI system, Identify its frequency response.

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: 4. Find the steady state periodic response to input given by u = 3 + 2sin²t, if the system transfer…

A: The transfer function is, X(s)U(s)=100s+4s2+10s+50 The Laplace transform of the input is calculated…

Q: The transfer function of an RC circuit is given as G,(s) = RC- where R= 100 x 102 and C = 0.1 x…

A: Voltage across the capacitor during charging is vC(t) = V (1 - e-tRC) ... (1) Voltage across the…

Q: Transfer function of an LTI continuous time system is given in the following form e-2s (s + 2) (s…

A: Control systems are represented by transfer function. This can be written in both time domain and…

Q: The input signal to an LTI system is given by x(1) = 2 cos(2t +) The system has impulse response…

Q: The transfer function of a system is T(s)3= %3D (s+3)(s+6) The damping ratio and natural frequency…

A: In this question we will find damping ratio and natural frequency..

Q: The transfer function of a system is T(s)3= || (s+3)(s+6) The damping ratio and natural frequency…

A: In this question , we will find damping ratio and natural frequency..

Q: DSP system is described by the difference equation y(n)=0.2y(n-1)+x(n), find the impulse response…

Q: 5) A linear system is modeled by the transfer function Y(s) 1 U(s) s +5s+4 Find the response p() to…

A: By using Laplace transform

Q: A causal, LTID system is described by the impulse response: h[n] = {2,2, –2,–2} i) Find the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine the impulse response and frequency response of the LTI system defined by, y(n) = x(n) + b…

Q: The unit impulse response of a second order system is te-0.st sin 0.6t. The natural frequency and…

A: Damping ratio is system parameter. It is represented by Zeta ζ. The poles of transfer function is…

Q: Q: For a given impulse response of LTI system h(n), determine the response of the system to the…

A: Given: Input xn=un-4 Impulse response of the LTI system is

Q: Consider a linear time-invariant system. It is known that when the input is u(t) = tu,(t) and the…

Q: A system with zero initial conditions has the closed loop transfer function, s? +4 T(s) = (s+3) (s +…

A: Given closed loop transfer function is - Ts=s2+4s+3s+5

Q: Problems: *. 1. find the frequency response of the system defined as y(n) - 0.5 y[n - 1] = 2x[n].…

Q: An attitude control system on an aircraft has a transfer function given by s+5 G(s) = (s+1)(s…

Q: Transfer function of an LTI continuous time system is given in the following form e-25 (s + 2) H(s)…

A: "Since you have posted a question with multiple sub parts we will solve first three subpart for you…

Q: 4. The input to a system with impulse response h(t) is x(t), both functions are given below. Find…

A: In this question we need to find a output of the given system.

Q: Consider a continuous-time LTI system with impulse response, h(t) and input signal, x(t) as given…

Q: s+3 What are the angles of the asymptotes of the root locus plot of G (s): (s? +3s+2)(s? +7s 60°,…

Q: Evaluate the time response of the RC contrel circuit, when the inputs applied are:) Vi (t)=5, (ï) Vi…

Q: The forward path transfer function is given by G(s) = 9/s(s+8). Obtain an expression for unit step…

A: Given open loop forward gain G(s) = 9s(s+8)

Q: Consider a causal second-order system with the transfer function 1 G(s) = 1+2s+s² with a unit-step…

Q: You have the transient response of a closed-loop system as shown in the figure, the entry being a…

Q: Obtain the zero-state response of a stable LTI system having a frequency response given by H(s) = 25…

A: Zero state response

Q: (A) 4.24, 2.12 rad/s The transfer function of a system is T(s)= (s+3)(s + 6) The damping ratio and…

Q: 5. For a LTI system whose impulse response h(t) is plotted as below, h(t) 1/2 cycle of 2 sin mt Find…

Q: 1 A system with transfer function G(s) = ,a>0 is subjected an input 5cos3t. (s+ 1) (s+ a)' cos(3t -…

Q: The impulse response of a discrete system is given by h(n)= {1, 2, -1}, Find its output for an input…

A: given convolution problem

Q: Ex. 1 a. Find the Laplace (frequency domain) expression for vC in the RC circuit below. The input is…

Q: As shown in Figure 1, a RC network is given with the input voltage Vin(t) and b) the output voltage…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: In first order systems, the rise time T, of thq following output response xt) where, z(t) = 1-e will…

Q: 12. Let f: {0, 1} → {0, 1}. Give the circuit for Uf when (a) f(0) = f(1) = 0 (b) f(0) = 0 and f(1) =…

A: Given, Some possible combinations of inputs and outputs. We have to find the Circuit. Please find…

Q: An LTI system has the impulse response h(t) u(t)e-24. If an input signal x(1), as shown in the…

A: Find the convolution of given two signals within the interval 0 to 1.

Q: Determine the impulse response and frequency response of the LTI system defined by, y(n) = x(n) + b…

A: To find the impulse response and frequency response of the given discrete system

Q: In the root locus of the system given by the open-loop transfer function G(s)= K(s+1) / s^2 + 4s +5,…

Q: A closed-loop transfer function is given as Y(s) 3(s+10) R(s) s+35s +300 Calculate the response in…

A: We will find out output for given system and given input

Q: Transfer function of an LTI continuous time system is given in the following form e-2s(s + 2) H(s)…

A: Laplace transform is used to convert time domain function in to frequency domain. Some Laplace…

Q: Consider the block diagram shown below. At a certain point in the s-plane G (s) H (s) = 5Z180°, what…

A: The solution is given below

Q: Determine the impulse response of the series system S 1(t)y2(t) shown below consisting of two…

A: The given cascade system consists of two linear systems. Firstly, the convolution of each system is…

Q: The open loop transfer function of a system is as follows; G(s)= 100(s+4)/(s(s+2)(s+1)) Determine…

Q: The question is in the attached file.

Q: Consider a causal second-order system with the transfer function 1 G(s) = 1+2s+s² 1 with a unit-step…

Q: 6.76. Consider a continuous-time LTI system with the system function H₂(s)=_=_=_ s+1 Determine the…

A: According to the question, for the given continuous-time LTI system as shown below Hcs=1s+1 We need…

Q: 2. For the given transfer function, find the locations of the poles and zeros, plot them on the…

A: poles are the roots of denominator polynomial and zeroes are the roots of numerator polynomial .…

Q: 3. If an LTI system has its LT as H(s)== A. 2cos(2r)u(-t)- sin(2t)u(t) 2s +4 ,o>0 , then the impulse…

Q: Consider a causal second-order system with the transfer function 1 G(s) = 1+2s+s² with a unit-step…

Question

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

Circuit analysis 2 In the circuit shown below, ic (t) value for t <0 is equal to which of the following?
Why should the pole of a first order system be in the negative real axis and cannot be positive? Usestep response plots to justify your response.
A discrete time signal is given by: x(n) = [2, 2, 2, 2, 3] Sketch the following signals : Even Samples of x(n)
If ? = 50Ω, L = 1.5H, what value of C will cause a sourceless series RLC circuit to be a) overdamped ?, b) critically damped ?, c) underdamped?
4. Find the Transfer Function of the given circuit. (Kindly provide a CLEAR and COMPLETE solution also the answer should be TYPEWRITTEN)
Samples of the discrete-time signal x[n] are given as x[n] = [-1, 2, 0, 3, -7, 6]. a) Calculate the odd and even components of x[n] b) Calculate the energy of the signal, y[n].
The transfer function of a Causal LTI system is given below. impulse of the LTI system Calculate the answer.
A discrete time signal, its x(n) value is 1 for n > = 0, while other values of x(n) = 0 for n < 0 : الاجابات DC Signum Function Delta Function Unit Step ================================ السؤال Analog Time Systems which both input and output signals are Discrete Time Signals? الاجابات True False
a. Find the circuit’s input, or driving-point, impedance, Zi, in the s-domain.
Circuit analysis 2 Which of the following is the derivative of the function given below equal to?
A second order discrete time system is described by the transfer functionG (Z) =Y (Z)/R (Z) =1/Z2+3/4Z+1/8Determine the response of the system to a unit sample sequence.
Root Locus Question Utilizing root locus techniques (by hand) prove that for the transfer function K*G(s) where G(s) = 1/(s^2+s+10) there is no value for K that will allow for less than 16% overshoot. Sketch the region of allowance on the root locus which would give less than 16% overshoot as added proof to the statement 5