a. What is the Transfer Function? b. What is the characteristic equation? c. What is the response of this system? (Over-damped, Critically damped, under-damped) d. If the input r(t)= 2, what is the output at t=0 the initial value and t= 5(tau) the final value?

a. What is the Transfer Function? b. What is the characteristic equation? c. What is the response of this system? (Over-damped, Critically damped, under-damped) d. If the input r(t)= 2, what is the output at t=0 the initial value and t= 5(tau) the final value?

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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A robotic system with transfer function ?(?) =(100)/(s(0.1s+1)(0.1s +1)) is controlled with gain K as shown in the figure. A)To analyze the frequency response of this system, draw the Nyquist graph. B)Apply the Nyquist stability criterion. C)Verify the stability analysis you made in part (b) by plotting root locus plots for the positive and negative values of the K gain. D)Calculate the gain value that makes this system borderline stable and show it on Nyquist and Root locus graphs. E)Calculate the gain margin, phase margin, gain crossover frequency and phase crossover frequency values. F)Explain whether the system is stable over the gain margin and phase margin values. WE NEED TO SOLVE THE PROBLEM IMMEDIATELY. PLEASE HELP.
In the circuit in the figure, Vcc= 18 V, Rs1 = 0.9 kohm, Rohm = 0.5 kQ, R1 = 75 kohm, R2 = 15 kohm, RC = 2.2 kohm, RE = 1 kohm and B = 120. It is also known that Cwi = 6 pF, Cwo = 10 pF, Cbc = Cu = 7 pF, Cbe = C = 44 pF and Cce = 11 PF. Accordingly, considering the frequency response of the circuit, what would the high cutoff frequency (fH) be? NOTE-1: The output impedance of the transistor is ro = 20 k and will be taken into account in the calculations. NOTE-2: high frequency dependence of hfe, B. will be taken into account.
a. In an RC circuit supplied with AC power, a 500 ohm resistor is used to create a system with a crossover frequency wc =440 rad/s. What capacitance is the capacitor in this circuit? b. If an inductor is to be added to this circuit to make the resonant frequency equal to the crossover frequency, then what inductance must this inductor have? c. If, near a particular time t1, the instantaneous voltage drop over the resistor is given by v(t1)=0.65V cos(440t), then what is i(t1) (the function of instantaneous current with respect to time) for its capacitor? d. What would the Irms value be based on the sinusoidal function you found in part c? (Pick off Ipeak from the function, then plug in to rms equation) Since this is multi-part, answers to later parts will be graded based on your answers to previous parts when necessary.
a) In an RC circuit supplied with AC power, a 500 ohm resistor is used to create a system with a crossover frequency wc =440 rad/s. What capacitance is the capacitor in this circuit? b. If an inductor is to be added to this circuit to make the resonant frequency equal to the crossover frequency, then what inductance must this inductor have? c. If, near a particular time t1, the instantaneous voltage drop over the resistor is given by v(t1)=0.65V cos(440t), then what is i(t1) (the function of instantaneous current with respect to time) for its capacitor? d. What would the Irms value be based on the sinusoidal function you found in part c? (Pick off Ipeak from the function, then plug in to rms equation)
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).
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a system whose closed-loop transfer function is given by G(s)=K/s(s^2+s+1)(s+2)+K derive a Routh-Hurwitz array to determine the stability of the system.
3. The __________ is, in essence, a switch which closes for a brief period oftime and then open, closing and opening many times a second. 4. The ___________ is a way to tell how many frequency components are neededto make up a signal.
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Measurements conducted on a servomechanism show the system response to be: C (t) = 0.3 e 60t + 1.5 e 10t, when subjected to a unit step input. [1].Obtain the expression for the closed-loop transfer function. [2].Determine the undamped natural frequency and damping ratio of the system.
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