3. The loop gain of an amplifier is given by: В x (5 x 10) (1+ j) (1 + j) (1 +j it) The pole at fpi = 10' is to be moved such that the feedback amplifier with a closed-loop low-frequency gain of 50 has a phase margin of 55 degrees. (a) Find the value of 3.
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- Consider the feedback system given the open loop transfer function below G(s)H(s) = K / ( S (s+3) (s+2)) a) Using the Routh-Hurwitz criterion, for which value of K, the poles of the closed-loop system take the pure imaginary value.b) What will be the maximum value of K for the system to be stable?c) Calculate the value of K, where the real value of the complex root of the system is Re{s}=-1. Tip 1: Closed loop transfer function T(s) = G(s) / ( 1+ G(s)H(s)) .Routh HurwitzIn order to perform the criterion analysis, the denominator of the closed-loop function will be examined. Tip 2: The real value of the system complex root Re{s}=-1 is expressed by the following formula f^2(s) = p(s-1) p(s) is the payoff of the closed-loop function.The margins of stability for K = 12 of the unit feedback system shown in the figure are given below. Phase crossover frequency : Wfc = 2rad/s Gain crossover frequency: wgc = 1.4rad/s Phase Margin = 16.8 degree Amplitude Margin Kg = 6dB (NOTE: Use 3 decimal places in your operations.) a) Calculate the amplitude margin for K 60. b) Calculate the point where the KG(jw) Nyquist Diagram intersects the negative real axis for K 60.A unity-feedback system has forward transfer function (see attached). a) Sketch the root locus for this system as K varies from 0 to ∞; b) Use the Routh-Hurwitz test to determine the range of K for the system to be stable; show this value of K on the root locus plot.
- For the feedback amplifier circuit shown below, find the output voltage if the parameters of the circuit are as follows: R1 = 5.3 kΩ, R2 = 5.5 kΩ, V1 = 3.8 mV, V2 = 6.6 mV. Give the answer calculated to 1.d.p.The voltage gain of an amplifier is described by A(s) = 2π ×1010s /(s+2000π)(s+2π ×106) (a) What are the mid-band gain and upper- and lower-cutoff frequencies of this amplifier? (b) If this amplifier is used in a feedback amplifier with a closed-loop gain of 100, what are the upper-and lower-cutoff frequencies of the closed-loop amplifier? (c) Repeat for a closed-loop gain of 40.Sketch the root locus for unity feedback system with following forward gain function: KG(S) = K(S+1)(S2+2)/S2-9 For what range of K is system stable & unstable.
- Consider the unity feedback system with the following root locus for K>0. Find the approximate value of K which leads to the maximum possible overshoot of the closed loop system. Also, find all ranges of K for which the system is overdamped and as well as the steady state error to a unit step input.BelowIn the unit feedback system given the shape, G(s),is given as. When a unit ramp is applied to the input of the system, 2% of the steady-state error and unit to the inputWhen the step is applied, it is desired that the percentage exceedance rate is 9.25% and the settling time is 0.58 s.1-In this case, which of the following is the approximate value of the constant a? 2-In this case, which of the following is the approximate value of the constant b? 3-Looking at the unit step response of the systemWhat is .peak time?The unity feedback system with loop transfer function is given as . Gc(s)G(s)=50/s(s+40) the bandwidth of the closed-loop system. 6.4 rad/sec3.2 rad/sec12.8 rad/sec1.29 rad/sec
- a : for the unity feedback system G(s)=k/s(s+n). determine k and n such that the response for the input R(s)=1 has form: c(t)=(co+cit)eª ?and evaluate c, and c, when all initial condition are zero? Q3 b: for a unity feedback system G(s)=2/s(s+3) ,determine Ess when the input equal to: 1. Step 2. Ramp 3. parabolicBelowIn the unit feedback system given the shape, G(s),is given as. When a unit ramp is applied to the input of the system, 2% of the steady-state error and unit to the inputWhen the step is applied, it is desired that the percentage exceedance rate is 9.25% and the settling time is 0.58 s.1-In this case, which of the following is the approximate value of the constant a?The circuit as shown is a shunt-shunt feedback amplifier. Use feedback analysis to find the midband input resistance, output resistance, and transresistance of the amplifier if RI = 500 Ω, RE = 2 kΩ, β0 = 100, VA = 50 V, RL = 5.6 kΩ, and RF = 47 kΩ, when vi and RI are replaced by a Norton equivalent circuit. What is the voltage gain for the circuit as drawn?