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- The Bode diagram of a system with transfer function GH(s) = shown in figure below. Then, n and K are: K "(45 +1)(8s+1) Bode Diagram 100 75 50 25 -25 -50 -75 -198 -100 -90 -180 -270 103 102 101 Frequency (rad/s) 10° 10 Phase (deg) Magnitude (dB)The signal-to-noise ratio in dB for the following are: 1. Vin=0.001 and Vout= 0.1V is 2. Vin = 0.1V and Vout = 2V is 3. Pin = 0.5 W and Pout = 0.25 W is 4. Pin = 1 W and Pout = 4 W is %3DProblem 1: Below shows the Bode plots of a second order system. Find the transfer function associated with the plots. magnitude (dB) phase (degrees) -10 -20 -30 -40 -50 -60 -70 -80 ● -50 -100 -150 -200 10 10 frequency 100 100 - YO U(s)
- b) Consider the Bode magnitude plote shown in the figure. The transfer function H(s) is odtal/dec ↑ 29.544 dB ↓ -20 dB/dec 2 -40 dB/dec7. The bode plot of a certain transfer function is given below. From the plot determine; Bode Diagram Magnitude (dB) Phase (deg) 40 20 -20 -60 -80 -100 0 -45 -90 -135 -180 -225 -270 10-2 10-1 10⁰ 10¹ Frequency (rad/s) a) Phase cross over frequency b) Gain cross over frequency c) Phase margin d) Gain margin e) Based on the bode plot the system is f) Number of poles g) Number of zeros a) Stable 10² 10³ b) unstableDetermine the Cross-Over Frequencies, Phase margin and Gain margin of the following system then Comments on the stability of the system Bode Diagram Magnitude (dB) Phase (deg) 40 20 0 -20 -40 -60 -80 -135 -180 -225 10-1 10⁰ Frequency (rad/s) 10¹ 10²
- HA Find the phase margin of this system: Magnitude (dB) Phase (degree) 100 50 0 -50 -100 0 -50 -100 -150 -200 10° Select one: O a. -58° O b. -180° Oc. -30° O d. 90° O e. 28° ... 10¹ 21 .. .. .. *** .... 10 Bode Diagram 10 10 Frequency (rad/sec) ** 105 106E: The Bode Plot shown is for the circuit below. The capacitor value is doubled. Will the 3db frequency be higher, lower, or stay the same? Va R1 Vb C1 Odb -3db Gain 200 Hz FrequencyB: For the circuit shown, is this a possible Bode Plot? Va R1 Vb I C1 www 40db Gain Frequency
- For the following Bode diagram please indicate the following a) maximum amplitude b) cutoff frequency c) Range of frequencies in which there is no amplification d) final phase angle e) phase angle at maximum amplitude Bode Diagram -20 -40 60 45 -90 -135 -180 10-1 100 10 Frequency (rad/s) 102 (6ap) aseud Magnitude (dB)Compute the transfer function H(s) for the asymptotic magnitude Bode di gram sketched below. All the zeros and the poles should be considered with a negative real part. Magnitude (dB) 130 120 110 100 90 80 10¹2 10-1 Page: Bode Diagram 10⁰ 10⁰¹ 10² 10³ Angular Frequency (rad/s) 104 105F: The Bode Plot shown is for the circuit below. The capacitor value is doubled. Will the 3db frequency be higher, lower, or stay the same? C1 Vb Va + R1 Gain OdB- -Stop Band Frequency 10k Hz -Pass Band Frequency -3dB