Suppose the system x'= Ax has the solution; Find x1 (t), x2 (t) and x3 (t

Q: In the circuit shown, the switch is moved from a to be at t=0. Find v(t) for t > 0.

A: In this question,  We need to determine the voltage across the capacitor.  We know Inductor act as…

Q: B) f(t) = [t²-4t +4 + e¯(¹-2)] u(t-2) C) f(t) = eat sinot u(t) D) f(t) = cos(wt-w) u(t-1) E) f(t) =…

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Q: 1. The switch has been opened for a long time. It closes at t=0. Find i(t) for t>0. 3i 12 V

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Q: Differential equation of a system is represented by d²y dy +5- + 115 y = 0 dt The value of damping…

A: For this problem we can easily found the value of damping ratio from standard equation.

Q: 4-by using Laplace find v, (t) fort > 0?

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Q: Express the signals shown in terms of unit step functions

A: Step 1: Step 2: Step 3: Step 4:

Q: A causal system is given the input x₁(t) = 5 + u(t) and the output is y₁(t)e-2tu(t). Let y2 (t) be…

A: To find for , we need to determine the response of the system to the input  for .

Q: A) For what range of (K) is the system stable. K(s+3) s+7s3+14s2 +(8+k)s+3k G(s) 3D

A: The Routh array is used for deciding the stability of the system. The Routh array is written as…

Q: For a continuous-time system with input x (t) output y (t) = x (t) u (t): a- Is the system changing…

A: Given: A system yt=xtut According to question: a) The system is changing over time or not is…

Q: Find iL(t) and V1(t) for t > 0 in following circuit. t = 0 of 12 N w + 10 v (+ 4 A (1) v;(t) (1)'a…

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Q: /Express the following signals in terms of singularity functions. 0 t < 0 -10 1<t <3 10 1- x(t)= 2-…

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Q: a t= 0 R i(t) L The switch moves to position b at t = 0. a) Find I(s) b) Use the final-value theorem…

A: We need to analyse the series RL circuit .

Q: Q5\ check the folowing systems is (Linear, causal stable) 1-Y(t)= Sintx(t) 2-Y(1)-tX(t)…

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Q: is x(t)=3rect(t/2) causal and BiBo-stable? show steps

A: For signal to be causal its value should be zero for t&lt;0. For stable it should be absolutely…

Q: Plot y(t): y(t) = [u(t) – u(t - 2)] * 2[u(t) – 2u(t – 2) + u(t – 6)] %3D

A: Here it is asked to find out the convolution of two signals. Here the properties of convolution of…

Q: n the circuit shown, switch S1 is closed at t = 0 and switch S2 is opened at t = 0.2 second. Find…

A: Inductor is an element which does not allow a sudden change in current.  The circuit comprises of…

Q: 2. Two signals, x,(7) and x₂(1), are defined as follows, 0 = {6 x₂(t)= 3 1 -2.5 x3 (1)= and are…

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Q: s + 2 T(s) s2 + 9

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Q: (1)x" 2 6 8 Thesignxft) is given above. Which of the following is the sign x(2t - 4)? x(214) 10…

A: In the question, Choose the correct option.  Signal x(t) is given and choose the signal x(2t-4)…

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: For the circuit in the figure, determine the response of i(t), valid for all t, if at t=0+, the…

A: An RLC circuit is excited by two sources: a 10 V constant voltage source and  A current source.We…

Q: In the figure i1(t) = 4u(t) , i2(t) = ix(t)/2 , R1 = 1 ohm , R2 = 1 ohm , L1 = 1 H , C1 = 1 F , C2 =…

A: The circuit in the Laplace domain will become as below.

Q: Differential equation of a system is represented by d²y dy + 100 y = 0 +11 dt The value of damping…

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Q: Problem 4 Controllability and Observability Consider the following continuous-time state space…

A: For the given state space model of the system, the system is whether controllable and observable…

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

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Q: Calculate the currents I1, I2 and I0, as well as the active power supplied to the load secondary sid

A: Considering vueltas as turns  N1 = 200 turns N2 = 80 turns

Q: Based from the number 1 precaution of our experiment, what is the main reason why while doing the…

A: Diodes are very sensitive instruments even the slightest change of parameters will affect its…

Q: a) Plot x(t) x(1) = u(t-2) - u(t+1) b) Plot y(t) where x(t) is given in branch (a) above. y(t) =…

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Q: In the circuit given above, the switch was opened at t=0 after being closed for a very long time.…

A: The circuit diagram,

Q: 2. Find iL(t) and V1(t) for t > 0 in following circuit. t = 0 12 N i(t) ww 10 v (+ 4 A v;(t) 320 2H…

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Q: i,(1) 2H 10 20 4u(t) v (+ Oeu(t) A 1F: 10 Figure 1

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Q: Question 11 Determine the an for the function g (t) = t² , 0<t< 2r. n2 O 4n2 O 2n2

A: Given: g(t)=t2,  0&lt;t&lt;2π   Formula to calculate an is:an=2T∫0Tg(t)cos2πntTdt

Q: #2): Evaluate the followings: a) (t³+2)8(t+1)= b) c) J. [(sin2t)/t]8(t-1)dt- 1.₂²(t³+2)8(t+1)dt=

A: In this question x We need to determine the value of the given signals.  We are solving this problem…

Q: espectively, 1 1 1 A: 2 1 r(t) B: -(t) C: zr(t) D: none of these E: -(t) 2' 2' 2'

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Q: Example 3: Find and sketch y(t)= x(t)*h(t) Where x(1) = 2[u(1-2) – u(1-4)] and h(t) = [u(1) –…

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Q: 4. Given the function x(t) and h(t) below: x(t) h(t) 2 a) Determine y(t) = x(t) + h(t) graphically.…

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Q: 2. Find the convolution of x1(t) and x2(t): x1 (1) 2 1.5 0.5 O 2 3 x2(1) 1.5 1 0.5 01 2 3 -

A: Given:Signals x1(t) and x2(t) as,To find:Convolution of above signals.

Q: Draw h1 (t) and h2 (t). b- Is h1 (t) causal and BIBO stable? c- y (t) Obtain and draw

A: Given h1(t)=u(t)-u(t-2)           h2(t)=rectt-24x(t)=δ(t) In the first part we need to draw h1(t)…