Q1) Find the time response for the control system described by f(t) = 10/[ s(s + 2)(s+3)²]
Q: For a very long time before t = 0, the input voltage is zero. Provide the: a. Expression of the…
A: First write the input signal in terms of unit step and than using laplace transform of step signal…
Q: Problem 5. (E01) Let æ be a bounded, finite duration signal. Show that its Laplace Transform (LT) X…
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Q: 3) a) For a system with impulse response 10(s + 5) (s- 1)(s – 2)(s + 1) H(s) = ROC:-1 <a<1 Find the…
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Q: Q1): For the circuit shown in Fig.(1), the switch was in position (2) for long time, at time (t=0)…
A: For t = 0- Vc0+ = 4020∥60+4×20∥60Vc0+ = 4020×6080+4×20×6080Vc0+ = 4019×15Vc(0+) = 31.58 V
Q: 1 = 0 12 V 6 H 21,
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Q: Please accept that the RLC circuit given below is a linear time-invariant ystem in continuous time.…
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Q: Laplace differential equation specified fort 20 y(t)+ 6ý(t) + 8y(t) = e? with y(0)= -1 and y(0) = 2
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Q: A LTIC system is specified by the equation (D2 + 4D + 3)y(t) = (D+5)x(t) %3D Find the zero-input…
A: Given LTIC system D2+4D+3y(t)=D+5x(t)y(0)=1y'(0)=1
Q: 02 Answer with True (T) or False (F) 1- The ordinary automobile traffic light system is closed-loop…
A: 1)False Since it is mentioned that it is an ordinary system ,which means it has no feedback So the…
Q: When the unit step function is applied to the system input given the block diagram below, the output…
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Q: The signal below is the waveform of the input voltage to the circuit on the right. v(t) 10 20 v(t)…
A: Note :- As per guidelines we are supposed to answer only first 3 sub_parts . So I request you to…
Q: (t -t,)(u(1 + 1,) – u(t)) + - A (1 -1,)(u(1) – u(t – 1,)" x(1) =
A: Note: As per our policy, I have attempted the first three subquestions. The given function is,…
Q: If F (s) = then (s+1)2 +4
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Q: Evaluate the following continuous-time convolution integrals: (a) y(t) = (u(t) – u(t – 2)) * u(t)…
A: As per bartleby expert policy, only one individual question is to be answered. Kindly repost the…
Q: 11. Formulate and solve the 2nd order homogeneous differential equation for node voltage v(t). Given…
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Q: (2) Find the final value of the function f(t), where: 2(s+1) F(s) = - s(s+3)(s+5)²
A: Given: Transfer function, Fs=2s+1ss+3s+52.
Q: The impulse response of an LTI system is h(t). The Laplace Transform of h(t) is 2 H(s) =+ . The…
A: The solution is given below
Q: Consider a continuous-time LTI system whose step response is given by s(1) = e-'u(t) Determine and…
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Q: 2. A continuous-time signal x(1), which is zero for t < 0, has the Laplace transform s+ 2 s³ + 8s² +…
A: According to properties of Laplace transforms Time shifting Property: x(t-t0)u(t-t0)=X(s)e-st0…
Q: 5(s+2) If the response of a system in the Laplace domain is given by, F(s) : what would s(s+1)' be…
A: The solution is given below The steady state value is 10
Q: Question 5. Fig. 2 provides the block diagram for the closed-loop system by the proportional control…
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Q: A linear dynamic system is governed by the following Laplace transformed equation. (3s + 5)X(s) = =…
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Q: Consider the continuous-domain signal : t1 a(t): (1) : where t denotes time, and a > 0 is a…
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Q: An LTI system has an impulse response h(t) for which the Laplace transform H(s is 1 H(s) = | h(t)e…
A: Given H(s)=1s+1x(t)=e-t2+2e-t3
Q: A series RLC circuit has the following parameters: R = 10 2, L = 5 H, C = 40 mF and V(t) = 40e V.…
A: Given, A series RLC circuit has the following parameters, R=10 ohm L= 5 H C= 40 mF V(t)= 40e-t V…
Q: For circuit elements shown in the time domain using the s-domain representation, determine the…
A: The correct solution is given below
Q: A discrete time signal is given by: x(n) = [2, 2, 2, 2, 3] Sketch the following signals : x(n)…
A: Given: A discrete time signal is x[n] = {2, 2, 2, 2, 3} To sketch : x[n] u[n-1]
Q: 10 For the following system output described by: Y(s) = (s+10) (s+2) Find the time domain output…
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Q: Advanced electrical circuit Question # 3 s+1 Find the Laplace inverse of H(s) %3D s(s+2)? Question #…
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Q: Problem 4: Briefly answer the following question: The Fourier Transform and the Laplace Transform…
A: The time domain signals can be continuous or discrete. The time domain signals can be periodic as…
Q: Consider a continuous time system given by: d?y dt? dy dx + 3 + 2y = x + 3 dt dt (a) For input x(t)…
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Q: The following differential equation describes a water tank system 1 1 AR -h(t) ==q;(t) A where _h(t)…
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Q: A voltage signal, v(t), can be represented by the Laplace transform V(s) = 2/(s+1000). Provide a…
A: The voltage single in time domain is calculated by taking the Laplace inverse of the voltage signal…
Q: System Determine the solution of the following differential equations using Laplace Transform y" -…
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Q: c) A continuous-time system is given by the differential equation, d²y(t) + 5 dt dy(t) + 6y(t) dx(t)…
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Q: Write the differential equations of motion, convert to Laplace domain with zero initial conditions.…
A: b) Calculation of ODE of the system The mechanical system is given as Given data k1=k2=2m1=m2=1c=1
Q: Question 1 A causal Linear Time-Invariant (LTI) system with impulse response has the following…
A: Brief description : Note : According to guidelines of the company since both the questions are of…
Q: For a very long time before t = 0, the input voltage is zero. Provide the: a. Expression of the…
A: As per guidelines , we are supposed to answer 3 subpart.
Q: If we use the Laplace transformation, the solution y(t) of the following differential equation: y' +…
A: In this question we will find Laplace transform of given equation....
Q: Find f(t) if 6(s + 2) F(s) %3D (s + 1)(s + 3)(s + 4)
A: Brief description : F(s) : Is the Laplace transform of the signal f(t). Here we need to calculate…
Q: Q1 The following differential equation describes a water tank system d h(1) +/h(1)=9,(1) dt AR where…
A: 1) Given a differential equation describing a water tank system a) Write the differential equation…
Q: Evaluate the following continuous-time convolution integrals: (d) y(t) = (u(t + 3) – u(t – 1)) *…
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Q: The convolution of a continuous system is given by y(t)= f u(t-t)h(t)dt, Where u(t t) is the input…
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Q: Prob.19. In the network of fig. 3.31, the switch K is in position a for a long period of time.…
A: Here, we are given a circuit, and we have to calculate the value of voltage, v2 (t). So, for that,…
Q: 24 The initial value of f(t) is If F(s) s+4 s²+3s+2 The initial value of f(t) is......... 1 2 0 0.5…
A: Given: The transfer function, Fs=s+4s2+3s+2.
Q: 12 The impulse response of an LTI is h(t) =r(t) – 2r(t – 1) +r(t – 2) and the input is a sequence of…
A: The output of a system where the input is an impulse and all starting conditions are zero is called…
Q: Feedback and Control Systems Determine the solution of the following differential equations using…
A: As per company guidelines we are supposed to answer only one question. Kindly repost other questions…
Q: The time-domain representation of a causal signal with the following Laplace transform: 8s+76…
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Q: The convolution of a continuous system is given by y(t) = [_u(t – t)h(t)dr, Where u(t – t) is the…
A: Note: As per our policy, I have attempted the first three questions. Given data:…
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- When the unit step function is applied to the system input whose block diagram is given below, the output response takes the value c (0.2) = 0.11 fort = 0.2 s and c (infinity) = 0.333 for t = infinity. What is the time constant of the system? calculate.Q: In the network of Fig. (1), the switch is closed at t=0 and there is no initial charge on either of the capacitors. Find the resulting current ( i ). (Using Laplace Transform). 100 Fig. 1If G(s) = 1 / (s + 2), find the response c(t) if the input r(t) = u(t), a unit step, assuming zero initial condition.
- s ( s+1 ) ( s+2) (s+3)+k =0 Draw the root-locus curves of the characteristic equation . (Note: Find the equation that gives the separation points of the root locus curves, but without solving the equation, give roughly the location of these points on the axis)A)Perform the N=5 point circular convolution of x and h using DFT. B)Perform the N=5 point circular convolution of x and h in time-domain.The mathematical models of some continuous time systems are given above. x(t) is the input signal of the system, and y(t) is the output signal of the system. Which of the following systems is linear and which is nonlinear?
- When the unit step function is applied to the input of the system whose block diagram is given below, the output response takes the value c (0.2) = 0.11 for t = 0.2 s and c (infinity) = 0.333 for t = infinity. What is the steady-state error of the system? calculate.Signal and system The mathematical model of a system is y" (t) + ay'(t) + by(t) = a (t) + ca (t) where a=1, b=2 and c=1. 1) Find zeros and poles of the system. 2) Show them onto the S-Plane (the complex plane) 3) Discuss the BIBO stability of the system.Make the equation s(s+1)(s+2)+K=0 in the form of 1+KF(s) and explain the drawing of root-locus curves. (Note: Indicate the splitting points, centers and angles of the asymptotes)
- Experiment 1: Laplace transforms, Inverse Laplace transforms, and Applications Theoretical background (Provide the relevant concept s concerning the experiment.) I want Theoretical background for this experiment without Plagiarismgiven that vc=q/C. derive the expression for q in terms of time t.A discrete time signal is given by: x(n) = [2, 2, 2, 2, 3] Sketch the following signals : x(n) u(n-1)