Problem 6: Gain Given the transfer function of an amplifier is j0.003 G(w) = 600 ·...
Problem Consider a voltage amplifier having a frequency response of the low-pass STC 1ype with a de gain of 60 dB and a 3-dB frequency of 1000 Hz Find the gain in dB at f- 10 Hz, 10kHz, 100 kHz, and 1 MHz Problem For the circuit shown below first, evalusteand the coresponding comer froquency. Second evalmt and the corresponding comer froquency. At the end caloulate overall transfer function T(w)= and reurite it in the standard fom ( and draw...
QUESTION 1 Given the transfer function for a control system: 10 G(s) (1 + s)(0.5s + 1) 1.1 Determine the polar representation: Magnitude (gain) and Phase (polar form), as a function of angular frequency w. Show steps. (6) 1.2 Make use of the table below and determine the Magnitude, Magnitude (in dB) and phase for the indicated frequencies. (rad/sec) G(jw)- Magnitude Gain [dB] = 20 log10 Magnitude Phase [degrees] 0.5 5 50
4. Vo(s) Find the transfer function g(s) and find the frequency is rad/s at which the magnitude in Decibels (dB) is equal to 0. i,0 50 k 0,)0.5pF Enter answer...
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
1. (a) sketch the Bode magnitude and phase plots of a transfer function T(W) = Vo(w) given Wo = 27x1oʻrad/s. Vi (w) (l+ges/wo2 g (6) Calculate the half-power or 3-dB Cut-off frequency of the above transfer function, and the phase LT(W) at the 3-dB cut-off frequency.
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
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
For the system transfer function given by: s +10 $2 x (82100.+10) 1. Identify each term in the transfer function (constant, poles, zeros) (a) For any constant terms, what is the dB magnitude? What is the phase angle? (b) For any real poles not at the origin, what is the break frequency? (c) For any real zeros not at the origin, what is the break frequency? 2. Give the value of the DB magnitude and phase angle at w =...
Please do part a only a) For the common source amplifier below, calculate the small signal gain Av-Vovi (from the transistor gate to the output node), the input resistance Rin, the output resistance Rout, and the overall voltage gain Gv-Vo/Vs (from the voltage source to the output node. Assume that the capacitors act as AC shorts and that the transistor's ro is infinite (can be neglected). Note, you can use the small signal parameters that you solved for in Problem...
3. You are given the following Bode diagrams for different systems. Find the transfer function for each one of the systems considering the asymptotes and breaking points. 2.5 An C. - - - Magnitude (dB) Magnitude (dB) 10-1 100 101 10% 10° Frequency (rad/s) Frequency (rad/s) Magnitude (dB) Magnitude (dB) 100 101 101 Frequency (rad/s) 100 101 10² Frequency (rad/s) 103 104