2.33. Consider a system whose input x(t) and output y(t) satisfy the first-order differentialequationdy(t)dt+2y(t)= x(t).(P2.33-1) Problem 1 (3 pts each). Consider the CT system defined in textbook page 146, problem 2.33,i.e., Eq. (P2.33-1).(a) Determine the impulse response function h(t) of the system, and calculate the value ofh(t) at t=0.01 (Q1), t=1 (Q2), and t=3, (Q3).(b) Determine the system output y(t) if the input signal is x(t) = e−2tu(t), and calculate thevalue of y(t) at t=0.01 (Q4), t=1 (Q5), and t=3, (Q6).(c) Determine the system output y(t) if the input signal is x(t) = etu(t), and calculate thevalue of y(t) at t=0.01 (Q7), t=1 (Q8), and t=3, (Q9).(d) Is the system memoryless? (Q10)(e) Is the system invertible? (Q11)(f) Is the system causal? (Q12)(g) Is the system stable? (Q13)(h) Is the system time-invariant? (Q14)(i) Is the system linear? (Q15)

Step 1: an answer Step 2: b answer Step 3: remaining above Step 4: submited

Answered: 2.33. Consider a system whose input…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Analogue 2
ii. G(s) = 29 s²+6s+58 a) Find the location of the poles, natural frequency and damping ratio values...... b) Determine the forms and write the general expression for the unit step response. c) Find Css (steady state value) and Peak value:.... d) Revise each transfer function to produce unit step response double approximately two tim slower.....
b) Figure Q3(a) shows a simplified waveform generator. i) Name the op-amp configuration. ii) If the input voltage, v (t) is a square wave, draw the expected output voltage, vo(t), v,(1) Vo(s) Vs(s) R₁ VsowW R c) Based on the circuit shown in Figure Q3(b), produce an equation expressing the transfer function H(s) = in terms of R₁, R2, R3 and C₁. C₁ R₂ A V₂0 Figure Q3(a) R₁ C R₂ R₁ Figure Q3(b) d) Figure Q3(c) is a model of an op-amp stage with the following characteristics: input bias current, IB = 0.5 µA, input offset current, Iio = 0.5 µA and input offset voltage, Vio = 10 mV. Consider the resistances R₁ = 10 kQ2 and R₂ = 200 kn, i) calculate the output offset voltage Vos(Vio). ii) calculate the output offset voltage Vos (¹) iii) compute the overall worst-case output offset voltage. R₂ -ovo(1) R₂ Figure Q3(c) Vo
(ВЕКС 2433) QUESTION 2 Most of the circuit are performed using the linear and time-invariant properties. Due to these properties, it can be simplified as a linear-time invariant (LTI) system. The LTI system is performed using a convolution operation that comprises an input signal, an output signal and impulse response as shown in Figure Q2. From the figure, the system is represented as impulse response, h(t). The input signal, x(t) is given to the system to produce the output signal, y(t). Answer all the question below: x (t) y(t) h(t) Figure Q2 (a) Given an impulse response, h(t) as shown in Figure Q2(a) and an input signal, x(t) as expressed in equation (2), use the convolution operation to analyze the output signal, y(t). Sketch the graph of output signal, y(t). x(t) = u(t) – u(t – 1) (2) h(t) 4 Figure Q2(a)
The waveforms shown in figure are applied to the inputs at A, and CLK. Sketch the resultant waveforms at Q0, Q1 and z, (assume Q0=Q1=0, show steps, tables etc. to find the solution) CLK Sp Jo CLK A K Fp 1 Rp
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6. Consider the circuit depieted in the figure below, R V,eiut where we shall assume that the input voltage can be written as Vin(t) = Re{Voet} with complex-valued Vg, and likewise that the output voltage Vout(t) = Re{Vje*} with complex-valued Vị. With j = V-1, the complex impedances of resistors, ca- pacitors, and inductors in this case are respectively given by ZR = R, Zc = ZL = jwL. (a) Determine Vı/Vo as a function the angular frequency w given the parameters R and C. (b) Evaluate Vi/Vo in the limit w +0 and in the limit w + o0. Is the circuit above a low-pass filter, a high-pass filter, or something else? w
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For the pole-zero plot shown in figure Q2, answer the following a- Find the time response (y(t)) for a unit-step input. b- Find the time response (y(t)) for a unit-impulse input. Im K=1 Re
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