Find the transfer function H(w) from the magnitude Bode plot shown below. H (dB) -20 dB/decade 40 20 20 2 20 100 w (rad/s)

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For the attached transfer function, can you please design a compensator that will cause the system to have a phase margin of at least 60 degrees. But the gain at low frequancys must not be changed (less than 0.1 rad//s). Draw a straight line bode approximation of the compensator and the transfer function seperatly, and then show the added compensated system to show it meets the first requirments.

8 A voltage v(t) = 100 sinot is applied to a series RLC circuit. At the resonant frequency of the circuit, the maximum voltage across the capacitor is found to be 400 V. The bandwidth is Ans: 382 Hz, 477.5,368. 91,0.16H, 1.04µF known to be 600 rad/sec and impedance at resonance is 100 Q. Find the resonant frequency and compute the upper and lower limits of the bandwidth. Determine the values of L and C of the [2073 Shrawan] circuit.

Express the transfer function (Vo(w)/Vin(w)) and draw the bode plot of both magnitude and phase of it.

For this problem, let x(t)= tri(t/T), where T-1msec. . Find the energy in xt), (t). J-00" b. Find the spectrum, X(f) = F(x(t)}. c. Find the absolute bandwidth in Hz. d. Find the null bandwidth in Hz. e. Find the equivalent bandwidth in Hz. f. Find the 98% energy bandwidth in Hz. Find the -20dB level bandwidth in Hz.

Please assist with question 7 d, e, f, g with details on how to do it. Thank you.

In the RLC parallel circuit below, Q-50. Determine the resonant frequency (in rad/s), BW (in rad/s), and R. At resonance, what is the current going through the inductor? 0.120A CFIUF L 21H √1,=?

A series R-L-C circuit when excited by a 10 V sinusoidal voltage source of variable frequency, exhibits resonance at 100 Hz and has a 3 dB bandwidth of 5 Hz. The voltage across inductor L at resonance is ?

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) unstable