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3. You are given the following Bode diagrams for different systems. Find the transfer function for...
A bode plot of the transfer function, GS = - 25 $2+45+25, is shown as below. Bode Diagram System sys Frequency (rad/s): 7 Magnitude (dB): -3.4 Magnitude (dB) Phase (deg) Systemt sys Frequency (rad/s): 7 Phase (deg): - 130 - 135 - 180 10 Frequency (rad/s) Determine the frequency response y(t) when a sinusoidal function, X(t) = 10 sin (7t +30) is applied to the transfer function as an input signal. (20 points)
Problem 3. Sketch the Bode plot (magnitude only) for the following transfer function. Label all slopes (dB/dec): (s 1000)(s 10,000) (s/100+1) (s/1000+1)(s/10,000+1) 7(s) T(s)- 0 dB 20 dB 0 40 dB 3 60 dB -80 dB -100 dB 10 10 103 104 105 106
System dynamics course. Let a transfer function H be 1000s + 10) 100+1000 Use H to respond to the following questions and imperatives a. Write H as a product of standard-form transfer functions Find the frequency response function H(jaw) without simplifying c. Use the axes below to sketch the Bode plot of H. 20 -20 10-1 10° 101 102 103 10 w (rad/s) 90 45 45 -90 -135 -180 10-T 100 101 102 103 101 w (rad/s) Let a transfer...
Problem Three: Estimating a Transfer Function from a Bode Plot Based on the Bode Plot below, estimate the transfer function for this system. magnitude plot 20 0 2010g, ((w)) 40 -60 -80 10-2 10-1 10° 101 102 w (rad/s) phase plot 100 50 © -50 -100 102 10" 10° 102 10 101 (rad/s]
-... Find the transfer function H(w) with the Bode magnitude plot shown in Fig. 14.74 H (dB)参 20 20 dB/decade 0 -20L 2 20 100 a) (rad/s)
12.18 Find the transfer function G(0) using the Bode magnitude plot shown below. Hw G/dB) -20 dB/decade 40 20 100 20 (rad/s) Figure P12.18 12.26 For the following circuit determine the resonant frequency and quality factor. c = 10 nF 2mA R,2k L0.1 mH c
Find the transfer function H ) that corresponds to the following asymptotic Bode plots. The gains are in dB while the frequencies are in rad/s. Write the transfer functions in the form shown in Problem 1(a)-(h) 2GB +200B/dec/ -2021B/dec 201B/dec IB -201B/dec +10dB/dec/ -OIB/dee 10 104 104 104 10 104 104 104 +204B/dec A +20<B/dec -102B/dec -20B/dec - B OB 2013/dee 10 102 104 10 10 10 10 10 10
Prepare the Bode Plot of the following transfer function (show only the asymptotes Gls)-1,000 s (s 1)s+1000PV (s+10P (s+10011 The amplitude at w-0.1 rad/sec the slope between 0.1 rad/s and 1 rad/s db db/dec, db/dec the slope between 1 rad/s and 10 rad/s the slope between 10 rad/s and 100 rad/s db/dec db/dec the slope between 100 rad/s and 1,000 rad/s db/dec, the slope between 1,000 rad/s and 10,000 rad/s phase angle at 0.001 rad/s degrees, phase angle at 10,000...
Determine DC gain and crossover frequency from the following Bode plots. Magnitude (dB) Phase (deg) -180 10-1 100 103 10 Frequency (rad/s) DC gain = 10.8, cr = 1.2 rad/s DC gain = 2.5, wc = 4.2 rad/s DC gain = 5.0 dB, -2.5 rad/s • DC gain = 1.8 dB, -2.1 rad/
Sketch the bode plot of a signal conditioner with the transfer function G(s) in the provided graph and calculate the bandwidth of this signal conditioner. GO 10s +1 S2 + 10s + 24 Table 2 Components in G(S) Asymptotes for Magnitude Asymptotes for Phase 20 log,0 1G(jw) Frequency-rad/sec Phase - degrees Frequency - rad/sec