An inputr(t) =t, t ≤0, is applied to a black box with a transfe cunction H(s). The resulting output response, when the initial conditions re zero, is + y(t) = e²+ = ½ e ² etermine H (5) for this system. =-2+ = =+ 2 +₁ + ≥ 0₁

An inputr(t) =t, t ≤0, is applied to a black box with a transfe cunction H(s). The resulting output response, when the initial conditions re zero, is + y(t) = e²+ = ½ e ² etermine H (5) for this system. =-2+ = =+ 2 +₁ + ≥ 0₁

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: Answer the following: Find the convolution of the two finite-length sequence: 8 x(n) = Σ 2n[u(n) –…

Q: From the given circuit, determine v, for all time interval when V, = 30 [u(-t) + u(t – to)] V -{ to…

A: In this question, We need to determine Vc for all time interval. Unit step u(t) = 1 for time…

Q: Find the zero state response of y[n+2] -0.6y[n+1]-0.16y[n]=x[n], when x[n]=8[n].

Q: The value of 'a' for which system shown below is having zero steady state error for a step input is…

Q: 2. Find out the circular convolution of the following sequence from calculating the linear…

A: Convolution Integral- Convolution is used to find the output of any LTI system for any arbitrary…

Q: c) Compute the convolution y[n] = x[n] *h[n] of the following signals: x(n)= [1 2 3 4] and h(n)-[2-3…

Q: For each of the following 2nd order systems, find S, W 16 s² + 3s +16 T(s) = T(s) = 0.04 s² +0.02s…

A: For the given transfer function, the value of damping ratio, natural frequency, rise time, peak…

Q: The system y(t)=x(t)+A where A is a constant is linear time invariant nonlinear time variant O…

A: System is said to be time invariant when input is shifted by some to than output also shifted by…

Q: 5) The following system is: R(S) a) Type one-second order c) Type two-second order 100+2x+5)…

Q: Determine and sketch convolution sum of the following two sequences. x[n] = 0.7n , 0 ≤ n ≤ 5 h[n] =…

A: The input sequence x[n] is x[n]=0.7n for 0≤n≤5x[n]=0↑, 0.7, 1.4, 2.1, 2.8, 3.5 Number of samples…

Q: 12. The switch in the following figure moves from position A to position B at t=0. Determine i(t)…

A: In this question we need to find the current I(t) for t>0

Q: Question 3 From the convolution of the sequences, what is term at n = -1 (Hint: use ^ raise to and w…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: The switch in the figure below has been in position A for a long time and is moved to position B att…

Q: Q1): Find the T.F of DE (h[n]) Engineering Analytics Transform Y[n]=2X[n] -Y[n-1] +X[n-1] -Y[n-1]+…

Q: h[n]=u[n+1]-u[n-2]-8[n-1] x[n] H y[n] x[n] 4 1 |-4 00 1 -3 -2 -1 2 3 4 -1 -2 -3 -4 -5 3.

Q: Consider the following second-order system: U(s) Second Order Y(s) Step System Response The step…

A: Given data:

Q: Please provide a step-by-step computation for this problem. An opamp monostable multivibrator…

A: We need to find out the pulse duration for monostable multivibrator .

Q: Q2/ Find the output of an LTI system with impulse response h(t) = e-a'u(t) when %3! driven by an…

Q: the circuit shown below, the value of vc (t) for 0 ≤t< 1 is equal to which of the

A: In this question , we will find voltage across capacitor for t= 0 to 1..

Q: 2. Find the complete solution for the difference equation y[n] - 0.6y[n-1] = x[n] with the input…

A: A simple problem on signals , look below for solution:-

Q: Solve for the output voltage, Vo (+), for t>o in the following transient circiut, after the switch…

Q: 2) jabäi For the following comparator, if the inputs: A=8 and B=3, the outputs are СOMP Ao A1 A2 A3…

A: If we see the circuit carefully it is a 4bit comparator. In the given condition : A=8 & B=3

Q: 7. Find the dual of a. F= A'B + B'C' + D'

A: Given function: F=A'B+B'C'+D'

Q: Problem 5. Solve the following initial value problem dy dx dt dt Justify your answer with work. da…

Q: A temperature probe having a first order response with a time constant of 1 s is given a step input…

Q: Prob. 4 at t=0 JOKS2 when the auitch VELE) closes. 10kn 3AF what is the time constant of the circut…

A: The given circuit diagram is:

Q: Find the mathematical expression for iC(t) on the interval t0 < t < t1. Provide your answer in amps…

A: To find the mathematical expression for iC(t) on the interval .Here, the given circuit is,

Q: Find the equivalent closed loop transfer function for the system R(s) E(s) Y(s) 3 K s+2 10 s+10

Q: R = 2 Q, C = 1/5 F e L = 5 H, v.(0) = 4V e iį(0) = –1A (1)a R L v(0)

Q: Determine the power of x[n] where x[n]=u[n] where u[n] is the unit step function.

A: The power (P) of any discrete time signal x[n] can be computed using the following formula:

Q: _et x[n] = 0.8¹u[n − 1] & h[n] = 0.4”u[n]. Find their convolution. Answer: (2(0.8¹) — 2(0.4″))u[n −…

Q: The system y(n)=D2x(n+4) is said to be Predicted No operation Delayed None of the mentioned

Q: a systems imput answer is= h[n]=0.7^n(u(n+2)-u(n-3)) calculate the x[n]=u[n-2] input and output

A: 1st we will represent h(n) in the form of impluse function then we will use impulse function…

Q: The given circuit can be minimized to: × > X A XY B X CY D XY

A: Given circuit:

Q: Q (s) = s 4 +s 3 + 2KS2 + (-4 + 3K)s + 5

A: From the R- H criteria

Q: Determine the range of gain K for stability (theoretically) R(s) C(s) s +1 K s+5 ² (s + 2)

Q: The input and corresponding output of a certain continuous-time LTI system is shown below. 0 2 0 4 2…

A: In this question We need to choose the correct option We know, The convolution property of the unit…

Q: 4S2 Rz L = 0. 5H 652

A: State variables :uc,iLinput :v(t)output: uR2

Question

### Problem Description

An input \( r(t) = t \), \( t \geq 0 \), is applied to a black box with a transfer function \( H(s) \). The resulting output response, when the initial conditions are zero, is

\[ y(t) = e^{-t} - \frac{1}{4} e^{-2t} - \frac{3}{4} + \frac{1}{2} t, \quad t \geq 0 \]

Determine \( H(s) \) for this system.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Summarize the details given:

VIEW

Step 2: Find the transfer function.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 6 images

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

What can be said for the self-relation function at to = O of any sign x(t)? Is infinite Cifira equals O equals the mean voltage of the sign equals the average strength of the sign
The system y(n)=x(n)-2x(n-3) is Non-causal Time invariant Time variant O None of the mentioned
A causal linear time invariant system obeys the difference equation: y[n] - 2y[n-1] + 2y[n-2] - y[n-3] +0.2y[n-4] = 3x[n] + 5x[n-1] + 7x[n-2] + 5x[n-3] + 3x[n-4] (x[n] is the input and y[n] is the output) i) is the system stable? ii) Is this system minimum phase? Explain.
The function O of the next circuit is A B O O=(A+B)+ (A+B) O O-(A+B')+ (A+B) O O=(A+B) (A'+B') OO-(A'+B) (A+B') D
For the below system, find the rang of ? that make the below system stable
Q Find Hn response (the Cument )t the RLC in frgure below, where EG)is 3inuseidal if osts 27 if Et)= too sin y0ot も> t ECH) = and initial condition cre Zero- E4)
Solve the below questions
find total Puwer f (t) st Isec 2 Solution/ 2t-2 f(t) = 2 2t-6 2
QUESTION 7 What is the output "Q" if input A is False(0), B is False(0), and C is False(0)? Σ I A B O True O False D E Proctoria
202 Vo 1 riscuit H 个 4N BI M FIND the FANGE of B at which the CIRCUIT is STABLE. 22 HAS A TRANSFER FUACTION H(S) = 52 +4 5²+45 +3
None
Please answer it asap i will like