QUESTION 1True or false? The Nyquist diagram is obtained by evaluating the transfer function G(s for values of S along a special contour in the complex plane.TrueFalseQUESTION 2True or false? The Nyquist diagram describes the frequency response of a transfer function.TrueFalseQUESTION 3The Nyquist diagram can be described as which of the following?O The root locus evaluated on a contour that encompasses the entire right half of the complex planeA polar plot of the Bode diagramO A Cartesian plot of the Bode diagram

State the given statements are true or false ?

True or false? The Nyquist diagram is obtained by evaluating the transfer function G(S for values of S along a special contour in the complex plane. True False QUESTION 2 True or false? The Nyquist diagram describes the frequency response of a transfer function. O True O False QUESTION 3 The Nyquist diagram can be described as which of the following? O The root locus evaluated on a contour that encompasses the entire right half of the complex plane O A polar plot of the Bode diagram O A Cartesian plot of the Bode diagram

True or false? The Nyquist diagram is obtained by evaluating the transfer function G(S for values of S along a special contour in the complex plane. True False QUESTION 2 True or false? The Nyquist diagram describes the frequency response of a transfer function. O True O False QUESTION 3 The Nyquist diagram can be described as which of the following? O The root locus evaluated on a contour that encompasses the entire right half of the complex plane O A polar plot of the Bode diagram O A Cartesian plot of the Bode diagram

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.
QUESTION: Derive the transfer function, TH(s), and find the high corner frequency from the transfer function. (You may use Miller's theorem, but not time constants)
A series RLC Circuit, shown in the Figure, is energized by a 100 V/4 kHz AC supply.The capacitance of the circuit is adjusted until resonance occurs, producing a qualityfactor of 50. Given that the impedance at the half-power points is 70.71 ohms, determine a. the power dissipated at resonance b. the inductance at resonance c. the lower -3dB frequency and the magnitude of the current at the upper -3dB frequency
-MCQ- When the lower sideband components of the Double Sideband (DSB) signal whose spectrum is given in the figure are suppressed with a filter, when the signal obtained by suppressing it with a filter is multiplied by cos(ωct) in the time domain, which of the following signals is the result? a) 0.5 cos(2ωc + ωm)t + cosωct b) 0.25 cos(2ωc - ωm)t – 0.5 cosωct c) 0.5 cos(2ωc - ωm)t + 0.25 cosωct d) 0.5 cos(2ωc + ωm)t + 0.5 cosωct
An FM radio broadcast used a modulator with a frequency deviation sensitivity of 5KHz/V, a 2Vp – 10 kHz modulating signal, and a 10Vp – 88MHz carrier Signal , determine : (a) Actual minimum bandwidth from the Bessel function table in kHz (b) Appropriate minimum bandwidth using Carson’s rule in kHz (c) Percent Modulation (d) The FM modulated waveform carrier and significant sideband components amplitudes; NOTE: Use this format in providing your answers to this problem: VJ0=x.xx v,VJ1=x.xx v,VJn=x.xx v; where VJO is the modulated carrier amplitude, VJ1-VJn is the amplitudes in significant sideband components and the number of sidebands (n) depending on your computation. (e) The unmodulated carrier power (W) for the FM modulator assumes that the load resistance is 50 Ω f) The corresponding FM modulated waveform carrier and significant sideband components power and its total power in mW. Note: Use this format in providing your answers to this problem: PJ0=xxx.xx mW,PJ1=xxx.xx…
a) For which frequency does the transfer function become zero? b) For which frequency does the transfer function become 1?
Consider the output voltage measured across the resistor in the circuit shown below. a. Find the transfer function for the filter circuit above (??/??) as a function of jω. (Leave R and C as variables) b. Transpose the transfer function to a Magnitude and Phase , that is |?(??)|??? form. c. Approximate the magnitude and phase of H(jω) as ω approaches 0; and as ω approaches infinity. d. If R = 4000 ohms, C = 2.5uF what is the corner frequency ω0 in rad/s. e. What is the corner frequency, f0 in Hz? f. Is this a high pass or low pass filter? g. What is the passband gain of the circuit in [dB]. h. Assuming C does not change, choose R for a cut off frequency of 50Hz.
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)
A series RLC circuit is formed using component values R=100 and L=1.5 mH, together with a source that provides a sinusoidal voltage Vs (t). If the quality factor in resonance condition is Q0 = 7, determine: a) the magnitude of the impedance at 500 Mrad s-1b) the current that circulates if vs (t) = 2,5V cos (425 ×10 6t) Note: Vent (input voltage). Vsal (output voltage)
Practically, the de-emphasis filter in an FM receiver unit is often a simple resistance-capacitance (RC) circuit with transfer function. Hde(f)=1/(1+j2πfRC) i) Determine the 3-dB bandwidth and equivalent bandwidth. ii) Presume the modulating signal has bandwidth W, the carrier amplitude is A, and the single-sided power spectral density of the white Gaussian noise is N0. Solve for the noise power at the output of the de-emphasis filter circuit. iii) Find the noise power without the de-emphasis filter. iiii) Supposing RC = 6 × 10−5, and W = 15 kHz. Calculate the improvement in the output signal-to-noise ratio (SNR) provided by the de-emphasis filter. Express it in decibel (dB).
3. Given a pass-band amplifier in 66MHz, design a frequency mixer that receives a 199.25 MHz signal and produce a 67.25 MHz signal