What's the Z-Transform of the signal x(k) = 2* for k < 0 and x(k) = (1/3)*k for k 2 0 %3D z/ ((z - 3) (2 - z)) .a z / ((z + 3) (2 - z)) .b - z/ ((z + 3) (2 + z)) others .d - z/((z - 3) (2 - z))

Q: What is the importance of Laplace transforms in the Control system? Write Initial value theorem and…

A: By using Laplace transformer we can analyse the LTI system response in frequency domain . Laplace…

Q: The z-transform of the sequence u(k)={0,0,-3,-3,-3,-3,..} is: Select one: O a. U(z) = -3z z-1 -3 O…

A: Let us find the z-transform if the given infinite sequence using the standard formula for…

Q: A discrete sequence is given by r(n) = 1, 1,0, 1. Find the z-transform of this sequence r(n). %3D

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Q: 2) Given CT signal x(t) and its Laplace transform X(s) with ROC (o ), please find the inverse…

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

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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

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Q: What is mean by ROC on Z plane? Consider X(z) of your own which has the poles to cover all three…

A: ROC or Region Of Convergence is the range of complex variable 'z' in Z plane for which Z transform…

Q: The state space model of a system is given by: d px, dt li] = [, u; Where: x, and x, are the state…

A: Given: Note: It is the kind notice that according to  guidelines of the company if we have sub parts…

Q: . Can you obtain the z-transform of u[n] at z = 0? If you can, what is its value? If you cannot, why…

A: For z-transform of u[n] at z=0

Q: Find the z-transform of the signal x[n] = (-1)^u[n] + ( )¹u[−n − 1]. a. x[n] does not have a…

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Q: 2. What is the Laplace transform of the function f(t) defined by : f(t) = 0, - sin (ar + 0), for t <…

A: Given:  f(t)=0,for t&lt;0sin (ωt+θ),for t≥0

Q: (a) Derive the equivalent transfer function, Heg(8), for the system shown below. The Laplace…

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Q: 1) Using Laplace transform table solve following equations Y(s) => y(t) =? %3D (s + K)? s + A Y(s) =…

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Q: 3.3. Determine the z-transform of each of the following sequences. Include with your answer the ROC…

A: (a). The z-transform of the signal is:

Q: . If a system function has zeros at the origin of the z-plane then the system function is a proper…

A: Inverse Z transform is the process of finding the time domain from its z transform .In the inverse Z…

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

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Q: 9. The Laplace Transform of the function -1 A. H(s) = s(s+1) 1 B. H(s)= ,-1< a<0 %3D s(s+1) С. H() -…

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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: The input-output relationship of a first order system is described by the differential equation,…

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

Q: The charge of the condenser Q(t) = S,1(t)dt is the rate of change of the current I. In dQ other…

A: The Laplace transform is written for continuous time aperiodic signals. If Laplace transform of x(t)…

Q: 1. Solve the following differential equation using the Laplace transform method. d²v(t) du(t) +4…

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Q: What is the purpose of applying the Laplace Transform in electrical circuit analysis?

A: LAPLACE TRANSFORM: Laplace Transform is  very useful for electric circuits.In Laplace Transform the…

Q: 3.1 Find the Laplace transform of the following: (a) anticausal signals indicating their region of…

A: The answer as given below:

Q: The Z-Transform of x(n) = u(n) – u(n – M) is A. X(z) = 1+z¬M 1 В. Х(2) — %3D 1-z-1 С. Х(2) %3 1-2-1…

A: In this question, we have to find the Z transform of x(n)   xn=un-un-M →      1

Q: Q1 (a) Use Laplace Transform to find the response x(t) of the system governed by the following…

A: (a) Given system governed by the equationd2x(t)dt2+5dx(t)dt+4x(t)=6.5dy(t)dt+4y(t)x(0)=0,x˙=0y(t)=2…

Q: Q2. Apply Laplace Transform method to solve the following second order differential equation: y" (t)…

A: Laplace transform is used to solve physical problems, Laplace transform is also called integral…

Q: Evaluate the inverse z-transform of  of the functions given below by the three methods described in…

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Q: Q5 The charge of the condenser q() = [ 163) I(x)dx %3D is the rate of change of the current I.…

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Q: The z-transform of the sequence æ [n]is given by: X (2) + 1-2z-1 The region of convergence includes…

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Q: 3a. Explain T Wo merits and THREE demerits of open- loop control systems. 3b. Prove that, the…

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

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: Q1): For the circuit shown in fig.(1),there is no init transform method to find the currents i(t)…

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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: Given

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…

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Q: 4.5-3. Find the modified z-transform of the following functions: 6 4 (a) E(s) = (b) E(s) %3D (s +…

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

Q: If x(n) is an absolutely summable sequence with a rational 2-transform that has poles at z = } and :…

A: xn can be a right sided signal as xnn is an absolutely summable sequence ROC  must include full…

Q: The inverse Laplace transformation of the function F(s) = (1 - e") s is %3D s+B f(t) = 2 cos cos (Bt…

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

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Q: Find an expression of (V2/V1) using Laplace Transform. 1Ω M = 9 H v1 = 10 cos 10t V H 100 H iz 400 N…

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Q: Given the series RLC circuit of Figure in which L = 1 H, R = 2 k, C = 1/401 µF, i(0) = 2 mA, and…

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Q: 1. A function e(1) is sampled, and the resultant sequence has the z-transform z3 – 2z E(2): z* -…

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Q: The z-transform of the sequence u(k)={0,1,1,1,1,1,0,0,...} is: Select one: -1 O a. U (z) = Z-1 O b.…

A: In this question we need to find a z transform of the given sequence

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

A: The given output waveform of voltage is shown below:

Q: We are given the following five facts about a real signal a(t) with Laplace transform X(s): • X(s)…

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Q: 1. Using Laplace transformation method, find y(t) for the given differential equation; а) y" – 4y' +…

A: In this question,  Find the y(t) of the differential equations using the Laplace transform.

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

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Q: „v-,5 a. If the Laplace Transform of tcos(at) = 2, then show that the Laplace Transform of,tcos? (t)…

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Coulomb’s Law

Coulomb's law states that the attraction or repulsion force between two charged things is proportional to the product of their charges and inversely proportional to the square of their distance. It has an effect along the line that connects the two-point charges.