please clearly Consider the system shown in Figure 2G1R(s)C(s)GHFigure 2a. Obtain natural frequency (@n) and damping ratio (5) for G,(s) ==, G,(s) = -4s+2'G,(s) = 4 , and H (s) = 0.5b. Obtain inverse Laplace transform of the system for the unit step input (c(t)=?)

Consider the system shown in Figure 2 G1 R(s) |C(s) G3 G2 Figure 2 1 . Obtain natural frequency (@n) and damping ratio (5) for G,(s)==, G,(s) =- 4s+ G,(s) = 4 , and H(s) = 0.5 Obtain inverse Laplace transform of the system for the unit step input (c(t)=?)

Consider the system shown in Figure 2 G1 R(s) |C(s) G3 G2 Figure 2 1 . Obtain natural frequency (@n) and damping ratio (5) for G,(s)==, G,(s) =- 4s+ G,(s) = 4 , and H(s) = 0.5 Obtain inverse Laplace transform of the system for the unit step input (c(t)=?)

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: 1) 1) Given that L{f(t)} = F(S) = s+2 s2+4s+5 Without taking the inverse Laplace transform, write…

Q: a) The Laplace transform of a function, F(s), is given by 2s F(s) = s2 + s – 6 Determine the inverse…

Q: Find the laplace transform s3 + 5s? + 3s + 6 B(s) F(s) = A(s) s3 + 6s² + 11s + 6

A: Inverse laplace transform

Q: 2- Find the inverse Laplace transform of the following functions 1 (a) G(s) = s (s+2)(s+3) 100(s +2)…

Q: 1 If the Laplace transform of function f(t) is F(s) = Then this system is s2 +4s +3 Select one: O…

Q: f(t) 3 a Piecewise representation of f(t) using a set of linear 2 equations (??, а <t <Ь ??, c<t< d…

Q: 6) Consider the system G(t). Assume the Laplace transform of G(t) is given by G(s). Assume u(t) is…

A: a) If Ut=δt then Us=∫-∞∞δte-stdt since δt is defined at t=0, so Us=∫-∞∞δtdt=1

Q: the given circuit, where R = 1 ohm and and L=1H, solve for i(t) using the Laplace

Q: The Laplace transform of the function f (t) = cos(t – t) e sin(t) dt is: Select one: O a F(s) = 1).…

Q: Find the inverse Laplace-transform of X(s) given below using partial fraction method. s + 3 X(s) =…

A: Inverse Laplace transform

Q: 11. Formulate and solve the 2nd order homogeneous differential equation for node voltage v(t). Given…

Q: Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the…

A: It is given that: Differential equation:d2ydt2+3dydt+2y=1+tInitial Conditions:y0=0 and…

Q: Applications of the Laplace Transform The following circuit is given an input v:(t) that is 2V for t…

A: "According to the Company's policies, we will solve only the first three sub-parts of the question".…

Q: 1. (a) find laplace transform f(t) = 2u(t+1) sin2t + e2t δ(t+3)

A: Since you have posted a question with multiple subparts, we will solve the first sub-part for you.…

Q: Q1): For the circuit shown in fig.(1),there is no initial charge on the capacitor, use the LAPLACE…

Q: 11. Formulate and solve the 2nd order homogeneous differential equation for node voltage v(t). Given…

Q: Q1): For the circuit shown in fig.(1), use the LAPLACE transform method to find the currents i..(t)…

Q: Sketch the given function, which is assumed to be zero outside the given interval. Find its Laplace…

Q: a) Find the Laplace transform of f(t)= t²sin3t . u(t) b) Find the inverse Laplace transform of Y(s)=…

Q: Q1): For the circuit shown in Fig.(1), the switch was in position (2) for long time, at time (t-0)…

A: Given that, At t=0 the switch is moved to position 1

Q: Q1: Obtain the unit-step response and unit-ramp response of the 9ollowing system: C(s) R(s) s2 + 2s…

A: In this question, We need to determine the unit step and ramp response of the given transfer…

Q: A series circuit contains a resistor and an inductor as shown in Figure below. Determine a…

A: Write the expression for KVL in the given loop. And determine the differential equation.

Q: Q1: Obtain the unit-step response and unit-ramp response of the following system: C(s) 36 %3D R(s)…

A: In this question we need to find a output of the given system for unit step and unit ramp input.

Q: For the circuit shown in Figure, the switch in the circuit has been closed for a long time and is…

A: The laplace transform converts the time domain into frequency domain. The impedance for inductor is…

Q: The Laplace transform of the function f (t) = cos(t – t) e" sin(t) dt is: Select one: Оа. F(s) (s2…

A: The Laplace transform of given function f (t) can we find as shown below.

Q: The Laplace transform F(s) of the signal f (t) is given by: F(s) = | f(t)e¯stdt %3D (a) Using this…

A: Laplace transform is a method by which a function in continuous time domain is converted to a…

Q: Q1/ Find Inverse Laplace Transformation function of ? 6s2+10s+2 F(s)- s3+3s2+2s

Q: 5s? + 8s is s3 + 3s The inverse Laplace transfrom, x (t), of 8 [5 cos(3t) + 8 V sin(3t)]u(t) [5…

A: This a question of Laplace transform. Solution is given below.

Q: Q/2 In the circuit in Fig., by means of the Laplace transform Determine : 10 i(t) ww - i(t). u(1) 1…

A: Drawing the circuit after taking the transform, the transform of the functions are:

Q: The following differential equation describes a water tank system 1 1 AR -h(t) ==q;(t) A where _h(t)…

Q: 10. Circuit Analysis using Laplace Transform a. Refer to the circuit shown below. Use Laplace to…

A: The circuit as shown above in the question has two mesh having current I1 and I2 in the two…

Q: The signal below is the waveform of the input voltage to the circuit on the right. v(t) 10 20 v(t)…

A: Given

Q: (a) Express the h(t) as the convolution integrals for 1 H(s): (s² + a²)² (b) Find the inverse…

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

Q: Consider the circuit below, which was assembled at f-0 without any initial energy in the elements.…

Q: Consider Figure 3 with I = 6 A, R = 12 N, L = 2 H, C = 0.02 F. Assume i (0-) = -4 A and vc(0-) = 10…

Q: Q/2 In the circuit in Fig., by means of the Laplace transform Determine : ww- - K). IF - v(t) at 1…

Q: Q/2 In the circuit in Fig., by means of the Laplace transform Determine : 1n 1(1) ww - i(t). u(t) 1…

A: According to question: a) The current i(t) is calculated as ∵ut=1×it+11∫i(t)dt+1×di(t)dtApplying…

Q: In the following problems we use the inverse Laplace transform and the relation between input and…

A: In order to solve differential equations, the Laplace transform is employed. It is widely accepted…

Q: a) Consider a causal continues-time system characterized by the following differential equation:…

Q: 19. Find the Laplace transform of [1 +sin 2t cos2t]u(t). s2 +2s+16 a) s(s2 -4?) s2+2s+16 b) s(s²…

A: Laplace transform of a general signal is given by Fs=∫-∞∞fte-stdt…

Q: Given the Laplace transforms of the causal functions f (t) and g(1) have regions of convergence o >…

A: We need to determine the region of convergence of three signals: b ft-aut-a,c eatft,d tnft; where…

Q: Q/2 In the circuit in Fig, by means of the Laplace transform Determine: ww - i(t). 1F - v(t) at 1 H,…

Q: For the circuit shown below, find the following and show your detailed solution: Knowing that…

Q: Q1: Obtain the unit-step response and unit-ramp response of the following system: C(s) R(s) 36 %3D…

A: In this question we need to find a response of the given system for unit step and unit ramp input.

Q: A signal generator is programmed to output a voltage waveform, f(t), pictured on the right.…

Q: Step Response of 1st Order System Consider the following 1st order system K R(s)- » C(s) Ts +1 1…

A: We will break the given function into partial fraction expansion with help of two constants.

Q: 2. Find the inverse Laplace transform of the following function: 20(s+2) (a) F(s)= s(s² +6s+25) 6s²…

A: (a) Function is given, Now, using partial fraction to solve the equation.

Q: A series circuit contains a resistor and an inductor as shown in Figure below. Determine a…

A: Write the expression for KVL in the given loop. And determine the differential equation.

Q: S Q4 (a) Calculate the inverse Laplace transform by completing the square. s² + 2s+4 (b) Evaluate…

Q: The Laplace transform of a function f(t) is 5s2+23+6 F(s) : %D s(s²+2s+2) ' As t oo, f(t) approaches…

A: The time domain signals can be continuous or discrete. The time domain signals can be periodic as…

Concept explainers

Methods of Wiring

Electrical wiring is the way of integrating cables and wires to interconnected equipment such as fuses, switches, sockets, lights, fans, and so on to the main distribution board, which is a specific structure attached to the utility pole that ensures a constant power supply.

Question

please clearly

Consider the system shown in Figure 2
G1
R(s)
C(s)
G
H
Figure 2
a. Obtain natural frequency (@n) and damping ratio (5) for G,(s) ==, G,(s) = -
4s+2'
G,(s) = 4 , and H (s) = 0.5
b. Obtain inverse Laplace transform of the system for the unit step input (c(t)=?)

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 3

VIEW

Step by step

Solved in 3 steps with 13 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

complete 4- The z-transform converts the ............ equations to ............ equation. Check if the following statements are True (T) or False (F): 1. The z-transform converts the differential equations to algebraic equation. 2. The digital system can be reconstructed using sampler.
1. Find z-transforms for the following functions: a) Éo.5" , use Summation property. b) 5e" sin(0.3n)
HW: Find the Z-transform of f[k] = e-2k + k 2-3k + 4 k z d d F(2) +4 dz dz F(z) = *.... .................... ............
Determine all possible signals that have the following Z-transform: X(z) = 1 1-2-¹-2 Hint: X(z) has three poles at p₁ = 1, p2 = P3 = - - colt N -2 - 1 67 52 -3
Q4. Based on the waveform and circuit in Figure Q4, please answer the questions: 12 ell 3 V v,(1) IF vt) 20 0 1s (b) (a) Figure Q4 (a) Find the Laplace Transform of the voltage shown in Figure Q4 (a) (b) Using the value of vs(t) in the circuit shown in Figure Q4(b), determine the value of v.(t).
A. Find the Z transform of 1. x(k) = (" k = 1,5,9,13,. .. 2. x(k) = (2)*sink B. Find the inverse Z transform of 1. X(Z) = tanh-z 2. X(Z) = 2-2-2 Z-1
Find the z-transform and its region of convergence (ROC) for each of the following sequences:..a) x[n] = δ[n]+δ[n-5]b) x[n]= (-0.5)nu[-n-1]
1. A function e(1) is sampled, and the resultant sequence has the z-transform z3 – 2z E(2): z* - 0.9z2 + 0.8 Solve this problem using E(2) and the properties of the -transform. a. Find the :-transform of e (t – 2T) u (1 – 27). b. Find the -transform of e (t +2) u(1). c. Find the z-transform of e (t -T) u (1 – 27).
Determine the z-transforms of: i. x(n) = (-"u(n – 1) + 3(-2)"u(-n-1) ii. x(n) = )" nu(n + 1) – ()" u(n – 2)
1. Explain in not less than 7 sentences with mathematical equations the relationship of z-transform and convolution sum. 2.Some transforms in the z-transform pairs are exactly the same. How would did they differ in other parts? What would be its implication when solving z-transforms?
3. Find the inverse z-transform of each of the following z-transforms. Determine the poles and zeros of each z-transform. a) X(z) = b) X(z) = c) X(z) = d) X(z) = 1-z-1 1-42-2 1-z-1 1-42-2 |z|>2 |z| 3 1 (1-32-1)2 12>2
Home Work Find the Z- Transform and mention the Region of Convergence (ROC) for the following discrete time sequences. 1. x (n) = 8(n-2) 2. x (n) = 8(n)