1) Basic Signals and Systems Find y(t) = x(t) • h(t) for the following signals, where u(t) is unit step signal. x(t) = 2u(t) – 2u(t – 2) h(t) = u(t + 2) – u(t – 1)

Q: The unit step response of an LTI system is given by g(t) = u(t)- 10u(t)e function of the system is…

A: Laplace transform is transformation in s domain.

Q: Use the initial- and final-value theorems to check the initial and final values of the current and…

A: Write the expression for KCL at the node.

Q: The signal is given by: f(t) = 0⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡ if ⁡t 3 (i)        Give the graphical representations…

A: According to the question, The signal is given by: f(t) = 0⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡ if ⁡t < 0 f(t) = 1 − t/3…

Q: 5) Consider a continuous time LTI system whose step response is given by s(t)=e-t u(t). Determine…

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Q: Consider the following continuous-time signal: 1 -t, 0, 0<t<1 otherwise Carefully plot x(t), and…

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Q: Graphically determine the continuous-time convolution of x(t) and h(t) for the case shown in figure…

A: We will find out convolution by graphical method , we use impulse integration property

Q: 5) Using the final value theorem, the final value of given function is 5s + 5 X(s): s(5s + 2) 1 2…

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

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

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Q: t = 0 1F 10 i.(t) 12 V 340 {2H 330 Figure 1

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Q: The systems input output equation is in the picture find the zero state response yzs(t) to x(t) =…

A: Given data, The input-output equation:- d2y(t)dt2+4dy(t)dt+3y(t)=x˙(t)-2x(t)

Q: vt) (V) 320 :1 F 10 v;(t) 10 1 1(s) (a) (b) Şekil 3

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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: 10. Solve for the initial-value problem using Laplace 4°y = 3u(t), y(0) = 1, y'(0) =- 2 dt as+bs+c…

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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: Consider the following continuous-time signal: 1 -t, 0 <t<1 X = 0, otherwise Carefully plot x(t),…

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Q: a) Sketch the block-diagram representation of the continuous-time system described by the following…

A: Block diagram representation of continuous and discrete system

Q: 5) Consider a continuous time LTI system whose step response is given by s(t)=e-t u(t). Determine…

A: Step response s(t) =e-t u(t)  Output for the x(t) input

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: For the following time domain functions: 2 sec- t (s) i(t) (A) A 2 t (s) -10v -2 v(t) (V) 1. Express…

A: The given waveforms Express the functions in terms of the singularity functions.    as per our…

Q: (3)Find I1(S) and I2(S); also calculate i,(t), and iz(t) for t > 0. Using the method that applies…

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Q: A continuous-time LTI system are given as below: y''(t) + ty'(t) + 10y(t) = 2x'(t) + x(t) in…

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

A: For a continuous-time LTI system, the step response is given as (1 - e-t)u(t). For a certain unknown…

Q: A continuous-time LTI system are given as below: y''(t) + ty'(t) + 10y(t) = 2x'(t) + x(t) in…

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Q: Homework 4 It is known that the differential equation of the system is d'y(t) +4 di dy(t) +3y(t) =…

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Q: Given C(s)/R(s) = 2/ (s+1)(s+6). The system is excited with step input. Obtain the time response,…

A: Here c(t) is the output response of the system since the system is excited by the unit step response…

Q: Find the output of the system described by the following differential equation when the input to the…

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Q: Sketch the root - locus plot for the system shown in figure below K s(s² + 4s + 5)

A: Condition for RL Part The number of poles and zero should be odd in the left side of the target…

Q: In the circuit of Figure 6.23, switch S has been closed for a long time, and opens at t = 0. Use the…

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Q: What is the value of az for the following function? for t = -T, - cos 2t for t €]- 7,0[, f (t) = for…

A: Given function is f(t) . We have to calculate a3.

Q: The unit step response of a system is s(t) = (1 – e-2t )u(t). The impulse r'esponse of the system is…

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Q: 4) Consider a continuous time LTI system whose step response is given by s(t)=et u(t). Determine and…

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Q: 1 Determine the :-transform of the following signals. (a) x(n) = {3, 0.0.0,0, 6, 1, –4) (b) x(n) =…

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Q: Laplace: the unit step function f(t) =      [1            t<1

A: In this question  we will find Laplace of given function...

Q: X(s) a. 7 %3D F(s) s² + 5s + 10

A: As per our guidelines we are supposed to be answer the first question only. Kindly repost the other…

Q: 15. If a(t) = u(t+1)u(1-t)- 2r(t- 3), then the generalized derivative of (t) is a. none of these b…

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Q: quiz Solve the following state equation and output equation for y(t), where u(t) is a unit step. -2…

A: X.  = -20-1-1 x +11u(t)Taking laplace SX(s)-x(o) =-20-1-1 x(s) +11u(s) s+201s+1X(s)⏟ϕ(s)-1 =…

Q: 3) For any continuous time signals, x(t) can be decomposed as an integral of 8(t-s) as follows: x(t)…

A: The impulse function is defined as,

Q: 4) Consider a continuous time LTI system whose step response is given by s(t)=e¬t u(t). Determine…

A: Step responses of the signal  S(t) = e-t u(t)  Output of the x(t) ?

Q: Let r(t) and y(t) be given as follows. Carefully sketch the following signals -t - 1, -1 <t <0 t,…

A: Draw the signal x(t).

Q: Find the initial value and final values of the following function 12(s+1) s(s+2) (s+3) F(s) %3D

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

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: v/{t) 1kN i(t) 5- 1ks. 100mF 5 10 The output current i(t) at t<0 is equal to zero Amperes. Determine…

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Q: Now consider the following continuous-time system with input and output specified sepa- rately,…

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Q: The block diagram of a time-invariant, linear, continuous-time system is given below. X1(s) and…

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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: the circuit below, the switch opens at t=0 after being closed for a long time. Calculate the voltage…

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Q: The convolution of x(t) and h (t) (shown below, A is 1 and B is 6) in the interval -6 < t< -5 is…

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Q: b) Find V,(s). Express your answer in terms of Vag, s, R, L, and C. dc Solution approach: Use…

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Q: t-2 The system described by y(t) = L x(1) dr has impulse response NE A) h(t) = u(t – 2) %3D B) h(t)…

A: We need to select correct option for impulse response for given system

Q: In the circuit of Figure 6.22, switch S has been closed for a long time, and opens at t = 0. Use the…

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