Consider an amplifier with the loop gain function T(f), where ßis the feedback gain and frp is the frequency of the dominant pole. (a) B(10*) T(f)=: 1+ j1+j (i) Determine ß such that the amplifier has a low-frequency closcd-loop gain of 50. (ii) Determine frp such that the amplifier has a phase margin of 45 degrees.
Q: Sketch the root locus for unity feedback system with following forward gain function: KG(S) =…
A: Write the given transfer function:-
Q: 1. Consider the unity feedback system below R(s) + E(s) C(s) G(s) K G(s) (s + 4)³ 2. Find the…
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Q: bandwidth of the closed-loop system.
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Q: EXERCISE 3.2 1. (a) Draw the block diagram of the feedback system and derive an equation to show…
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Q: Consider the root locus of a unity feedback system with loop transfer function L(s) = Ge(s)G(s) =…
A: Since you have asked multiple questions in a single request, we will be answering only the first…
Q: (a) Calculate the sensitivity of the closed-loop gain A, with respect to changes in open-loop gain…
A: a) The expression for the closed loop gain is given as, Partial differentiate AV w.r.t to A then,…
Q: I need to answer of this Control System Question
A: Given data : Gs=ks(s+3)(s+5)
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Q: Problem 2: For a unity feedback system where the plant is defined as K G(s) = s(s +3)(s +5) a.…
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Q: 1. Find the equivalent transfer function of the negative feedback system shown in R(s) C(s) K…
A: The negative feedback system is shown in figure The open-loop transfer function is G(s)=Ks(s+2)2…
Q: 1. Calculate the gain of a negative-feedback amplifier having A (gain without feedback)= -2000 and B…
A: 1) The given data's are, The gain without feedback is A=-2000, The feedback is β=-110. The formula…
Q: Q1: The open loop transfer function of unity feedback system is 3000 G(s) %3D s(s+5)(s+20) 1- Assess…
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Q: )) The Nyquist Plot of a system G(s) = in a unity feedback loop (Figure 3) is shown in Figure (s+1)²…
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Q: Q.4 Sketch the root locus of the unity feedback system shown in Figure below, where K(s + 1) s(s +…
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Q: An open-loop transfer function, KG(s) of a unity feedback system is given by: G(s) = s²–2s+4 (s+5)…
A: Part (a): Consider the open-loop transfer function, Gs=s2-2s+4s+5=s-1+j1.73s-1-j1.73s+5 The number…
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Q: The voltage gain of an amplifier is described by A(s) = 2π ×1010s /(s+2000π)(s+2π ×106) (a) What are…
A: a) Given A(s)=2π×1010ss+2000πs+2π×106A(s)=1042π×1010ss+2000πs+2π×106 Standard form of gain…
Q: B) Sketch the root locus for the unity feedback system, with , G(s) = k(s+13) s(s+3)(s+7) and find…
A: Given :G(s) =k(s+13)s(s+3)(s+7)
Q: 1. For a stable closed loop system, the gain margin at phase crossover frequency should always be:…
A: As per the guidelines of Bartley we supposed to answer first three subpart only
Q: 1. (а) Draw the block diagram of the feedback system and derive an equation to show that negative…
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Q: fi. Aclosed-loop feedback system is shown in following figure R(s) K C(s) s(s–1)(s+5) 1+s (1) Find…
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Q: Ex. 440. G (s)=k/ ( (s+2)(s+ 8)) is the FTF of a unity-feedback closed-loop system. respect to k.…
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Q: Q1] a) Design a control system such that the resulting closed-loop, unity feedback system meets the…
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Q: Determine the closed-loop transfer function of the system shown in Figure Qla. The plant transfer…
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Q: 5. A feedback system has loop transfer function K(s + 2) G(s)H(s) = s²2s + 10 - a) Sketch the root…
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Q: Q.2\ ( For the feedback circuit of Fig.Q.2, determine the topology of feedback and find: А, В, Ар,…
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Q: 3. If the unity feedback system is given by the open loop transfer function G(s) = ks2 / [(s+5)…
A: To calculate phase angle we convert the given transfer function into iw
Q: Given the forward-path transfer function of a unity feedback control systems, K(s+ 4)(s+20) G(s) =-…
A: As per our guide lines I solved only 1.
Q: Using the Routh-Hurwitz criterion and the unity feedback system below, with K G(s): s(s + 1)(s +…
A: Given that G(s) = k/ s(s+ 1)(s + 2)(s + 5)
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Q: Q1 (A): Sketch the Nyquist plot of the unity feedback system that shown in figure (1). Is the close…
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Q: Ex. 440. G(s) =k/((s+5) (s+ 6)) is the FTF of a unity-feedback closed-loop system. respect to k.…
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Q: Q5: Given the forward -path transfer function of a unity feedback control systems, K(s + 10)(s+ 20)…
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Q: 1. Calculate the gain of a negative-feedback amplifier having A = -2000 and p = -1/10. 2. Calculate…
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Q: Consider the feedback system given the open loop transfer function below G(s)H(s) = K / ( S (s+3)…
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Q: 1. For the open-loop transfer function, G(s), given below, in a unity negative feedback closed loop…
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- 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?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 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.
- 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.The classic feedback amplifier as shown has β =0.125. What are the loop gain T, ideal closedloop gain AIdeal v , actual closed-loop gain Av, and the fractional gain error FGE if (a) A =∞? (b) A =84 dB? (c) A =20?Find the loop gain, ideal transconductance, actual transconductance, input resistance, and output resistance for the feedback amplifier as shown with RI =15 kΩ, RL =10 kΩ, and R1 =3kΩ.
- An amplifier has an open-loop voltage gain of 90 dB, Rid = 50 kΩ, and Ro = 5000 Ω. The amplifier is used in a feedback configuration with a resistive feedback network. (a) What is the largest current gain that can be achieved with this feedback amplifier? (b) What is the largest transconductance that can be achieved with this feedback amplifier?A. If the forward gain is 5 and feedback gain is 1, determine the close-loop gain of a negative feedback amplifier. answer: B. For a Wien-bridge oscillator (as presented in the lecture), if the feedback resistor has a value of 10-kohm, determine the value of Ri (in kilo-ohm). answer: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.
- An op amp has a dc gain of 100 dB and a unity-gain frequency of 10 MHz. (a) What is the bandwidth of the op amp? (b) If the op amp is used to build a noninverting amplifier with a closed loop gain of 60 dB, what is the bandwidth of the feedback amplifier? (c) Write an expression for the transfer function of the op amp. (d) Write an expression for the transfer function of the noninverting amplifier.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?