6Given differential equation of a dynamic system below. Please obtain analytical expression forthe system frequency response in the polar form and show the magnitude: *d'y(1)5d y(1)+di24dy(t)2d²x(1)7dx(t)+ 16y (t) =+ 20x (t)dtdtdi?М (w) -(20-2w² )+49w²(16-5w2)²+(4–jw³)²(20-2w2)² +49w²M (w) =(16–5w²)² +(4w-jw)²(20-2w?)M (w) =(16-5w2)²++(4w-jw³)²(20-w²)² +7w?(16-5w?)²+(4w-jw³)²O M (w) =

Answered: Image /qna-images/answer/23c57d80-8322-4176-99fc-0f4c5f06bccd.jpg

6 Given differential equation of a dynamic system below. Please obtain analytical expression for the system frequency response in the polar form and show the magnitude: * d'y(1) 5d²y(t) 4dy(t) 2d²x(1) 7dx(t) + 16y (1) = + 20x (t) dt dr2 dt dr? (20–2w²)+49w² (16-5w²)² +(4–jw³)² M (w) = (20-2w2)+49w2 M (w) = (16-5w²)² + (4w-jw*)² (20–2w²) (16-5w²)²+(4w-jw³)? M (w) = О М (w) — (20-w²)²+7w² (16–5w²)²+(4w-jw³)²

6 Given differential equation of a dynamic system below. Please obtain analytical expression for the system frequency response in the polar form and show the magnitude: * d'y(1) 5d²y(t) 4dy(t) 2d²x(1) 7dx(t) + 16y (1) = + 20x (t) dt dr2 dt dr? (20–2w²)+49w² (16-5w²)² +(4–jw³)² M (w) = (20-2w2)+49w2 M (w) = (16-5w²)² + (4w-jw*)² (20–2w²) (16-5w²)²+(4w-jw³)? M (w) = О М (w) — (20-w²)²+7w² (16–5w²)²+(4w-jw³)²

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...

See similar textbooks

Similar questions

The time-domain signal shown in the top plot is comprised of the sinusoidal waveforms shown in the second plot i.e. it is the sum of those sinusoids. Which of the three frequency-domain representations, A,B, or C, corresponds to the time-domain plot. Amplitude B 10 of -10 0 Amplitude 2050 Magnitude Magnitude Magnitude Lo LO 0.1 0.1 1 0.2 0.2 2 2 2 0.3 0.3 4 3 3 ↑ 3 4 4 4 0.4 0.5 0.6 Time (seconds) 0.4 0.5 0.6 Time (seconds) 6 5 Frequency (Hz) 5 6 Frequency (Hz) 5 6 Frequency (Hz) 7 7 7 0.7 0.7 0.8 8 4 da 8 0.8 8 9 9 9 0.9 10 10 10 1 1 11 11 11 A B C
Consider the sinusoidal voltage v(t)=100cos(1000nt-65°)V. A. What is the maximum amplitude of the voltage? B. What is the frequency in HERTZ and in RADIANS PER SECOND? C. What is the phase angle in RADIANS and in DEGREES?
Thanks for help
The impulsive response of a certain continuous system is the sinusoidal signal sin (t). Determine the system transfer function.
Explain what is going on?
! Required information A parallel resonance circuit has a resistance of 2 KQ and half-power frequencies of 84 kHz and 92 kHz. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the capacitance. The value of the capacitance is nF.
Construct a double sided frequency spectrum consisting of both magnitude and phase spectra of the given continous-time signal x(t). Plot the spectra as a function of cyclic frequency. Be sure to label the axes. x(t) = 2 + 2cos((1000*pi*t) + (pi/3)) - 4cos((200*pi*t) - (pi/3)) + cos(500*pi*t) Please show work
Please solve very soon
transmission medium, The soipnal 6) has atrequencr The diagram below is a refresentation. transmission medium, The propagstal a Signal has å freguencyD), acer The phase angle O and the pariod is t If sCt) = Ssinca TfEt 45) cangle Af Time 2TL 37 47 find the amplitude of The Signal i khat is the phase alue o o i Cakulate the Kalue of E e the snal at a period tzo period t-o in find the Take Y as 3xlo E and f the walcelengthl = 1550nm. it J(=180° $ Amplitnade
Electronic Since k = 0.35x10^3, VGSQ = 6.2 V, VGS(Th) = 2.4 V, RF = 100 MΩ, RG = 10 MΩ, RD = 7.6 kΩ, RS = 2.2 kΩ and RL = 21 kΩ in the circuit in the figure, the output voltage In which option is the amplitude value (Vout) given correctly? NOTE-1: E-MOSFET output impedance is rd = 70 kΩ and should be taken into account in calculations. NOTE-2: Capacitors are of negligible size at mid-band frequency. NOTE-3: It is within the 5 kHz mid-band frequency.
IN Consider the discrete-time sinusoid x[n] = cos 8 a. Plot x[n] for n = 0,..., 48. b. Is this discrete-time sinusoid periodic? If so, what is the period? c. Find and plot another discrete-time sinusoid y[n] = cos(w₁n) with a different frequency (w₁ ) that yields exactly the same values as x[n].
Consider the CT sinusoid x(t) = sin 4t. What are the frequencies of its sampled sequences if the sampling period T are 0.3, 0.6, 0.9, and 1.2? Do they equal the frequency of sin 4r? Under what condition on 7 will the frequency of sin 4nT equal 4 rad/s?