Handwrite and step by step solitions Consider a stable system with rational transfer function H(s) whose pole-zeroplot is shown in Figure(a) (True or False) The system is causal. Justify your answer.(b) Sketch the normalized power gain G(w) = |H(jw)|²/|H(0)|² versus w ≥ 0, clearly labelingthe values at w = 1 and w 2, and the asymptote as w →∞.Note: This is a linear plot rather than a Bode plot.(c) Assuming that H(0) = 3, find an explicit expression for H(s).(d) Denoting the input and output of the system as x(t) and y(t), respectively, specify a differ-ential equation relating them. X-1XFigureIm(s)2+1Re(s)

As per Bartleby guideline we need to answer the first three questions only. Kindly repost the rest…

Answered: Consider a stable system with rational…

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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Consider a closed loop system with zero order hold.consider Gp(s)=400/s2+400.determine the closed loop transfer function T(z) for the system at T=1sec
For the circuit shown below, the initial conditions are zero, Idc is a current source continuous and switch S is open at t = 0.a)Determine the equivalent impedance to the right of points a and b of the circuit, Z(s).b)Obtain the voltage between points a and b of the circuit in the frequency domain, V(s). Employ the initial and final value properties and calculate the values of v(0) and v(∞).c)Find the expression for v(t). Check that the values of v(0) and v(∞) agree with those calculated in the previous item.d)Obtain currents i1(t) and i2(t).
At t=0, a 1 pound force, denoted by f(t), is applied to the translational mechanical system. Determine K and M such that the response has a 1 second peak time and 4 second settling time if fv = 1. Additionally, what is the resulting overshoot percentage? Determine also the resulting transfer function as well as the steady state error for step input.
Open loop transfer function G(s) = K/ s(s+3)(s+4) for a system with a) Using the Routh Hurwitz criterion, the poles of the closed-loop system are only purely imaginary. Calculate the value of K for it to have roots on the axis. b) Calculate the maximum value of K for the system to be stable. c) Calculate the values of K for the system to have roots at the value of -1 on the real axis.
Consider the circuit depicted in Figure. If vs(t) =−8 + 2u(t) V, determine Vc(0+)
The closed-loop transfer function of a system is given by G(s) = 14.145 / (s+5)*(s^2 +0.842s+2.829). Which of the following is true for this system? I. The damping ratio is given by 0.25. II. Its natural frequency is given as 1.682 r/s. III. Exceeding the percentage is given with 44.4%. IV. The peak time is given as 1.93 s. a) I only b) I, II, II and IV c) II and III only d) I, II and IV only
From a compliance transfer function of a spring-mass–damper system, the stiffness is determined to have a value of 0.6 N/m, a natural frequency of 0.50 rad/s, and a damping coefficient of 0.089 kg/s.1. Neatly derive the expressions of the magnitude and phase of the mobility transfer function
1.Find the impulse response of the equivalent system (i.e,, find h[n]) such that y[n]=x[n]∗y[n]holds where h1[n]=h[n]+0.5drag[n−1], h2[n]=0.5drag[n]−0.25drag[n−1], h3 [n]=(0.5)n u[n]with u[n]denoting unit-step function. this is a signal systems question
Assume that the signal to be measured is displayed in the following form. y(t)=5sin1000t mV The time constant of the 1st order device is 100ms, K=1 V/V and its output is transferred to the 2nd order amplifier. The natural frequency and damping ratio of the amplifier is 15,000Hz and 0.8, respectively. Then, determine the expected output signal of y(t). And calculate the dynamic error and phase delay on the output. Is the chosen metrology system reasonable? If not, suggest a way.
a linear time-invariant systems |z|>0.5 zone of convergence and transfer function H(z) is system causal ? (true/false)
Show that the derivative of a 1-D signal, I=I(x), amplifies the higher frequency components of the signal. Then, prove that even a slight amount of noise n=n(x), can be responsible for a large difference between the derivative I and I+n (Hint: Assume that n can be written as εsin(ωx) for some very small ε and very large ω).
4. The front end of a television receiver, having a bandwidth of 7 MHz andoperating at a temperature of 27° C, consists of amplifiers having a gain of 15, followed by a mixer whose gain is 20. The amplifier has a 300Ω input resistor and a shot noise equivalent resistance of 500Ω . For the mixer; these values are 2.2kΩ and 13.5 kΩ, respectively, and the load resistance of the mixer is 470 kΩ. Calculate the equivalent noise resistance for this television receiver.5. A receiver connected to an antenna whose resistance is 50Ω has an equivalent noise resistance of 30Ω. What is the receiver’s noise temperature?

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