1. The system function of a causal LTI system is given by: s + 1 H(s) s2 + 2s + 2 Determine and sketch the response y(t) when the input is: x(t) = e-lti, -o < t < ∞. -00

Q: Determine the initial and final values of f(t), if they exist, given that: 5s + 3 (a) F(s) s3 + 4s2…

A: Given Functions,

Q: 3.6 Given the transfer function 121 G(s) = s² +13.2s+121 of a system. Which of the following…

A: Given transfer function, Gs=121s2+13.2s+121

Q: Compute the convolution y(t)=h(t)*x (t) where, -1 for-1<t<0- for 0≤t<1 x(t) = 1 otherwise, and h(t)=…

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Q: An 2 kΩ resistor, a 6.25 H inductor, and a 250 nF capacitor are inparallel. Express the s-domain…

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Q: An LTI system is defined by the equation d*y(t) +4 ¢y() + 4y(t) = dx(e) + 0.5x(t) dt dt dt (a) Find…

A: As per guidelines i have to answer first three sub parts . please post remaining again.

Q: A continuous-time LTI system has the input/output relationship y(t) = etx(2 - 2)da y(t)%3D Determine…

A: Given: A continuous-time LTI system has the input/output relation as: yt=∫-∞te-txλ-2dλ To find: (a)…

Q: When the unit step function is applied to the system input whose block diagram is given below, the…

A: Calculate transfer function of given system…

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: A discrete system is represented by the following difference equation: y[n + 3]– 2y[n+1]+3y[n] =…

A: The difference equation for the discrete system is, Considering the discrete ramp signal as input,

Q: 3. Determine whether or not the LTI systems with the following impulse responses are causal and…

A: 3) A causal system (otherwise called a physical or nonanticipative framework) is a system where the…

Q: y L(x,y,z) i) The function L (x, y, z) given the truth table on the right; a) Write algebraically in…

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Q: Express the following signals in terms of singularity functions: 0, t<2 0, t<2 (a) v, (1) = 3, 2<t <…

A: The given signals are to be expressed in terms of singularity function like unit step, unit ramp,…

Q: G 12 H(s) = 2. 5+1 5 S+1 G₂(S) 6 543 S+3 Yı HIS) 42 Determine a multivariate integral controller for…

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Q: The switch in the circuit has been closed for a long time before opening at t=0. 1. a) Construct the…

A: Drawing a circuit before the for t&lt;0 : As  pure dc supply is present, open circuit capacitor and…

Q: 1) The step response of an continuous-time LTI system is given by (1 – e-t)u(t). For a certain…

A: Explanation: a)

Q: Example 1 For the systems have a transfer functions G1(s) and G2(s), find: 1. Time Constant T 2.…

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Q: Q2. An LTI system is described by the equation (D + 1)(D² + 5D + 6)y(t) = Dx(t) %3D Determine the…

A: According to question: Applying Laplace transform on the LTI system equation, this will give…

Q: 3.23. An LTI system has the impulse response h(t) = t[u(t + 1) – u(t – t2) (a) For what values of t…

A: Given the LTI impulse response expression  Value of the t1 and t2 for casual and stability.

Q: 2) A continuous-time LTI system has unit step response s(t) = t[u(t – 1) – u(t –4)]. The impulse…

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Q: The following differential equation describes an LTIC system: 1y" (t) +9 (t)+1, 6(t) = x(t) Find the…

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Q: Q3 A dynamic system is represented by the differential equation, y" – 6y' + 15y = U (t), and y(0) =…

A: Transfer function-The transfer function is the ratio of the Laplace transform of output to Laplace…

Q: The following differential equation describes an LTIC system: 1, 8y" (t) + 5y (t) +1, 6y(t) = x(t)…

A: Zero input response x(t)=0 1,8y''(t)+5y'(t)+1,6y(t)=0 Put y''(t)=D^2 y(t)       y'(t)=D y(t) (1.8…

Q: Question 1 Given the two four-point sequences x[n] = [-2, –1,0, 2] and y[n] = [-1, –2, –1, –3]. find…

A: Solution 1- Given,x[n]=[-2, -1, 0, 2]andy[n]=[-1, -2, -1, -3]

Q: Evaluate f, (t)®f,(t) for the functions shown f(0) f(1) Ans: 4(t+1), -1<1s 1 4(3-t), 1<t< 3 f,(1)…

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Q: The following differential equation describes an LTIC system: 13 (t) + 9y (t) + 1, 63(t) = æ (t)…

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Q: 1. (a) Consider an LTI system described by the impulse response h[n] = 3®u[1-n] %3D Sketch h[n]. (b)…

A: As per our policy we can provide solution to first &amp; second' first three sub questions only.…

Q: Prob.19. In the network of fig. 3.31, the switch K is in position a for a long period of time. Att=…

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Q: 4) The system function of a causal LTI system is: s+1 H(s) : s2+2s+2' Determine and sketch the…

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Q: II. Solve for the initial-value problem using Laplace a'y * - 1'y = 3u(t), y(0) = 1, y'(0) 2| dt 1.…

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Q: For circuit elements shown in the time domain using the s-domain representation, determine the…

A: The correct solution is given below

Q: Q4:B. Consider a continuous-time LTI system for which the input x(t) and output y(t) are related by…

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Q: Consider a continuous-time LTI system with the input signal and impulse response: x(t) = 4(u(t) -…

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Q: Solve the given initial-value problem. Give the largest interval I over which the solution is…

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Q: Q3 Y Consider the plant with transfer function 1 s(s+2) 1- Find its controllahle state space…

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: 3. Compute and plot the output y(t) of the following continuous-time LTI system with impulse…

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Q: If y(t) is the solution of the differential equation: y"- 3y' + 2y = e-2t where y'(0) = 1, y(0) = 0.…

A: Given: In this question they are interested to know the Laplace transform of the signal y(t).…

Q: 40 - When the unit step function is applied to the system input given the block diagram below, the…

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Q: The response of the system is given by Y(s) = Find the final value of the system output. (5+3)(5+4)…

A: Given data, Transfer function, Ys=s+3s+4ss+22s+1

Q: 3. Consider a continuous-time LTI system described by 1 1+T/2 = ÷S"* :Sx(7)dr T-T/2 y(1) = T{x(1)}…

A: a) y(t)=1T∫t-T/2t+T/2xτdτ

Q: :Sketch the root locus plot for O.L.T.F. k G(s)H(s) = %3D s2(s² + 1)

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Q: + W" )" The integration in s-domain is given as, 00 F(s) ds %3D sin ot Hence, evaluate £ t

A: In this question we will evaluate Laplace transform...

Q: 1Ω 5Ω + u(t) (* 1 H v,(t) a) find V, (s) assuming zero initial conditions b) Compute the values lim…

A: The problem is from control system.

Q: The following equation defines a generalised function of the unit step function u(t) where o(t) is a…

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Q: 2.52. The step response s(f) of a continuous-time LTI system is given by s(t) = [cos w,t]u(1) Find…

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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: b) The output response y, of a discrete time system is given by Yn = 2 xn + 0.55 yn-1 – 0.1 yn-2 iv)…

A: According to question:

Q: For a continuous time LTI system, the output is given as Y(s)=10(2s+3)/(s2+4s+5).  Find out the…

A: Using final value theorem of Laplace transform, for any function y(t), the following equation can be…

Q: Assume initially relaxed, solve for the response y(n) {0, 0, 1, 0, –2, 0 3} y(n) + --1 - 0.5 - +…

A: System response

Q: Evaluate the following integrals: (a) S (312 + 1)8(1) dt (b) S (31² + 1)8(t) dt

A: According to the integral property of the delta function ∫abxtδtdt=x0 when a&lt;0&lt;b0 when…

Q: Q4 The response x(t) of a system to a forcing function u(t) is determined by the differential…

A: Given, d2xdt2+2dxdt+5x=3dudt+2u

Latches and Flip Flop

Just like logic gates, the latches and flip-flops are the important elements of an electronic circuit. The logic gates form the important part of combinatorial circuits, while the latches and flip-flops form the essential part of a sequential circuit. Sequential circuits form the important concept of automata theory in electronics and electrical engineering, these circuits are a kind of logic circuit whose output depends on both present input and past inputs, that is, the input history.