How many poles at the origin can be estimated from the bode plot?
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- semi-log facsimile and draw asymptotic Bode plots (magnitude & phase).Question 1 Magnitude (dB) Phase (deg) 20 10 0 -10 -20 -30 -40 0 -45 -90 -135 -180 10 -1 Bode Diagram O a, 5 rad/s O b. 1.72 rad/s O c. 0.72 rad/s O d. None of the above 10° Frequency (rad/sec) The gain crossover frequency using the figure above is: 10Bode Diagram 20 10 -10 -20 -30 40 -50 -60- -70 -80 -45 -90 -135 -180 102 10 100 Frequency (rad/s) 10 102 103 a) Explain what is gain margin, phase margin, gain crossover frequency and phase crossover frequency b) Find the gain margin, phase margin and the gain crossover frequency for the bode plot shown above. c) Comment on the stability of the system. Phase (deg) Magnitude (dB)
- 7. 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) unstableEill in the blank with corect answers B Frequency Series Resonance - Impedance vs. Frequency. The graph of impedance against frequency for an RLC series resonance circuit is shown in the picture. At which point the current will be maximum At point A At point C At point B At point D The inner most layer of an optical fhotI Is cantu ImpedanceA parallel resonant circuit has a resistance of 2 k2 and half-power frequencies of 86 kHz and 90 kHz. Determine: (a) the capacitance (in nF) (b) the inductance (in uH) (c) the resonant frequency (in krad/s) (d) the bandwidth (in krad/s) (e) the quality factor
- Given the following transfer function, use the Bode plot paper and draw the asymptotic amplitude/magnitude Bode plot, as well as phase plot. Show all values on sketchesThe 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)In a series RLC circuit, the applied voltage is 108V. At resonance, the frequency is 200rad/sec, and the circuit current is 8.38 A. What is the resistance of the circuit (in Ohms)?
- Determine the transfer function that produced the following Bode plot. (Note: the values here were chosen so that this transfer function could be determined exactly): 120 Bode Diagram 100 80 60 40 20 45 -90 -135 -180 100 10 102 10 Frequency (radis) 10 (ge) pronbep (Bop) oeA parallel RLC resonator with an external load is shown below. Find the loaded Q factor. R = 696 Q, RL = 1146 Q, L = 16 nH, C = 10 pF. on RL R O a. 68.02 O b. 28.65 O c. 10.83 d. 0.09 O e. 17.40HA 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) ** 105 106