Q2: For the unity feedback second order system shown below, if R(s) is a unit step, trace R(s), E(s) and C(s). Take a. K=50 and kl=10 b. K=k1=10 c. K=25 and kl=10. Comment on the results in each case. R(s) E(s) K: C(s) (s +. kl)s
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- Given in the figure is a two-stage amplifier design that employs negative feedback. Answer the following questions. Use the notation (R1 + R2 + ... + Rn) for series resistors and (R1 || R2 || ... || Rn) for parallel resistors for clarity and ease. Assume that the transistors are already biased properly in the saturation region and ro1 = ro2 → ∞. Also assume that the capacitors have infinite capacitance. 1.) Find the expression for the open loop gain Av 2.) Derive the resistance Rin which is the resistance that can be seen at the input port of the amplifiera) Design an inverting amplifier with a gain of 4. Use an ideal op amp, a 30 kohm resistor in the feedback path, and +-12 v power supplies. b) Using your design from part a, determine the range of input voltages that will keep the op amp in it's linear operating region. c) suppose you wish to amplify a 2 V signal, using your design from part a, with a variable feedback resistor. What is the largest value of feedback resistance that keeps the op amp in its linear operation region? Using this resistor value, what is the new gain of the inverting amplifier?2-) The AC equivalent of a feedback amplifier circuit is given in the figure on the right. (Hfe100, Va = ∞, Ic1 = 15 mA, Ic2 = 5mA and Ic3 = 5 mA) a) State the type of feedback used in the circuit, explaining the reason. b) Draw the small signal equivalent of the amplifier circuit. c) Calculate the value of β for the feedback by drawing the β circuit. d) Find the Avf = Vo / Vs closed loop gain of this circuit. e) Find the Rif and Rof values.
- Find the desired values below in the feedback amplifier circuit in the figure. a) Voltage and current in amplifier circuit when Rf resistor is open circuit and RL resistor is present Show step-by-step the formula that gives the profit. b) Step of the formula showing the feedback current gain Ai when the Rf feedback resistor is connected find step.The transistor parameters for the circuit shown are VTN = 0.4 V, Kn =0.5 mA/V2, and λ = 0.(a) Discuss the feedback topology, show the input ant output connections (series orshunt)(b) Find the feedback factor β (find the transfer function without feedback first)Find the desired values below in the feedback amplifier circuit in the figure. a) Find the no-load voltage gain in the amplifier circuit when the Rf resistor is open circuit. b) Voltage and current in amplifier circuit when Rf resistor is open circuit and RL resistor is present Find your earnings. c) When the Rf feedback resistor is connected, the Rf value that makes the feedback current gain Ai/3 find it. Indicate the assumptions you take in your transactions.
- Question 2 Part (A) Design an inverting amplifier with a gain of 4. Use an ideal ops amp, a 30kΩ resistorin the feedback path, and ±12V power supplies. Part (B) Using your design from part (a), determine the range of input voltages that will keepthe op amp in the linear operating regions. Part (C) Suppose you wish to amplify a 2V signal, using your design from part (a) with avariable feedback resistor. What is the largest value for the feedback resistance thatkeeps the op amp in the linear operating region? Using this resistance value, what isthe new gain of the inverting amplifier.Assume for a moment that perfectly accurate resistors were available for feedback networks; that is resistor tolerance is 0%. Then any deviation from the value set by the feedback resistor ratio is caused by insufficient raw op-amp gain. What minimum raw gain would be needed to get within 1% if an intended overall gain of 10? What if the intended gain is 100 instead?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?
- 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.Compare the closed-loop voltage gain, k = Vo/Vs, for the loaded and unloaded dependent source model of the Voltage Follower with the ideal model of the Voltage to examine the impact of the load, RL on k. - Using any circuit analysis method, derive expressions for the closed-loop gain, k = Vo/Vs, for the ideal opamp Voltage Follower ,both the unloaded ,loaded Voltage Follower using the dependent source model. simplify both of the closed-loop gain expressions for the dependent source models by applying the ideal opamp parameters: A --> infinity , R_i -->infinity and R_0 --> infinity.For the open-loop system G(s) = 3/s^2 + 2s - 3 assume there is a feedback with a proportional gain, K. And sketch a locus of closed-loop rootsverse K. What is the minimum value of K to achievea stable system?