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s +15s+50 Problem 3. Determine the impulse time-domain response and stability of a VCvS circuit with:...
a. (10) For the circuit below, draw the s-domain equivalent circuit and show that H(S) =...
a. (10) For the circuit below, draw the s-domain equivalent circuit and show that H(S) = 2 2 . 2321H 0.5F V b. (10) Using Inverse Laplace Transforms, find the impulse response (1) c. (5) Briefly tell me in your own words what an impulse response is. d. (15) For an input, vt) = 2e- Transforms to find vo(t). use Laplace Transforms to find V.(s) and then use Inverse Laplace e. (5) Briefly discuss how convolution could have been used...
Problem #5 (20 points) For the circuit show below determine: a) The s-domain expression for V....
Problem #5 (20 points) For the circuit show below determine: a) The s-domain expression for V. b) The time-domain expression for v (t) for t> 0. 7Ω + 15u(t) A 311 0 .1F v
2. For the circuit in problem 1 above: a) Transform the circuit into the s-domain b)...
2. For the circuit in problem 1 above: a) Transform the circuit into the s-domain b) Using Laplace transform techniques applied directly to the circuit (not applied to the differential equation found in problem 1), find iz(t), t > 0. No credit for time- domain techniques. IX V 40 + - 5+10u(t) 10 H 1/4 F 2. For the circuit in problem 1 above: a) Transform the circuit into the s-domain b) Using Laplace transform techniques applied directly to the...
LTI Systems-Stability Consider an LTI system with system function: s-1 H (s) = If the system...
LTI Systems-Stability Consider an LTI system with system function: s-1 H (s) = If the system is non-causal and un-stable, determine the time domain impulse response
Problem 3: /25 For the circuit shown below, use frequency-domain circuit analysis techniques to determine (a)...
Problem 3: /25 For the circuit shown below, use frequency-domain circuit analysis techniques to determine (a) the voltage transfer function Ho) of the circuit; (b) the magnitude response H(@) of the circuit; and (c) the phase response (0) of the circuit. (d) Based on the results of parts (a) - (c), identify the type of filter circuit shown. с R + + Vin(t) 0000 L Vout(t)
Problem 1: For the circuit below, use TIME DOMAIN TECHNIQUES. a) Find v, i, and the...
Problem 1: For the circuit below, use TIME DOMAIN TECHNIQUES. a) Find v, i, and the time constant. Clearly show your work in the document that you submit after the test. b) Enter the time constant, v(O), and i(0) into Blackboard. c) Sketch the time response of this circuit. Remember to label your axis!!! 312 10u(-t) V (+) 0.1 F + WWW (4) lut)A
Purpose: Use Laplace transforms to find the time domain response of a RLC band-pass filter to...
Purpose: Use Laplace transforms to find the time domain response of a RLC band-pass filter to step and impulse inputs Vout Vin L=27 mH For the RLC circuit above Find the s-domain transfer function: Find the impulse response h(t) H(s) = Vout(s)/Vin(s) · These operations must be performed by hand using Laplace transforms, do not use MATLAB or a circuit simulator. We will verify your hand calculations in lab. Hints: To find the transfer function, find the equivalent impedance of...
s +1.3 For the following questions, suppose G(s)=3x (s +1.4)(s? +2s +1.49) 3. Determine the system...
s +1.3 For the following questions, suppose G(s)=3x (s +1.4)(s? +2s +1.49) 3. Determine the system impulse response in time domain. (30 marks) 4. Draw its root locus and comment on system stability. (60 marks) 5. If the system can be simplified using the system dominant pole technique into Gi(s) below, obtain the system response for a unit step input, and estimate the overshot and settling time. (50 marks) 3.9 3x(0+1.3) G(S)= (0+1.4)(s? + 25 +1.49) 1.4(s2 + 25 +1.49)
s +1.3 For the following questions, suppose G(s)=3x (s +1.4)(s2 + 2s +1.49) 3. Determine the...
s +1.3 For the following questions, suppose G(s)=3x (s +1.4)(s2 + 2s +1.49) 3. Determine the system impulse response in time domain. (30 marks) 4. Draw its root locus and comment on system stability. (60 marks) 5. If the system can be simplified using the system dominant pole technique into Gi(s) below, obtain the system response for a unit step input, and estimate the overshot and settling time. (50 marks) 3.9. 3x(0+1.3) G(S) = (0+1.4)(s? + 25 +1.49) 1.4(32 +28...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus Plots and Routh- Hurwitz Criterion ofStability A unit feedback control system is to be stabilized using a Proportional Controller, as shown in Figure Q2.1. Proportional Controller Process The process transfer function is described as follows: Y(s) G(s) s2 +4s 100 s3 +4s2 5s 2 Figure Q2.1 Your task is to investigate the stability of the closed loop system using s-domain analysis by finding: a)...
a. (10) For the circuit below, draw the s-domain equivalent circuit and show that H(S) = 2 2 . 2321H 0.5F V b. (10) Using Inverse Laplace Transforms, find the impulse response (1) c. (5) Briefly tell me in your own words what an impulse response is. d. (15) For an input, vt) = 2e- Transforms to find vo(t). use Laplace Transforms to find V.(s) and then use Inverse Laplace e. (5) Briefly discuss how convolution could have been used...
Problem #5 (20 points) For the circuit show below determine: a) The s-domain expression for V. b) The time-domain expression for v (t) for t> 0. 7Ω + 15u(t) A 311 0 .1F v
2. For the circuit in problem 1 above: a) Transform the circuit into the s-domain b) Using Laplace transform techniques applied directly to the circuit (not applied to the differential equation found in problem 1), find iz(t), t > 0. No credit for time- domain techniques. IX V 40 + - 5+10u(t) 10 H 1/4 F 2. For the circuit in problem 1 above: a) Transform the circuit into the s-domain b) Using Laplace transform techniques applied directly to the...
LTI Systems-Stability Consider an LTI system with system function: s-1 H (s) = If the system is non-causal and un-stable, determine the time domain impulse response
Problem 3: /25 For the circuit shown below, use frequency-domain circuit analysis techniques to determine (a) the voltage transfer function Ho) of the circuit; (b) the magnitude response H(@) of the circuit; and (c) the phase response (0) of the circuit. (d) Based on the results of parts (a) - (c), identify the type of filter circuit shown. с R + + Vin(t) 0000 L Vout(t)
Problem 1: For the circuit below, use TIME DOMAIN TECHNIQUES. a) Find v, i, and the time constant. Clearly show your work in the document that you submit after the test. b) Enter the time constant, v(O), and i(0) into Blackboard. c) Sketch the time response of this circuit. Remember to label your axis!!! 312 10u(-t) V (+) 0.1 F + WWW (4) lut)A
Purpose: Use Laplace transforms to find the time domain response of a RLC band-pass filter to step and impulse inputs Vout Vin L=27 mH For the RLC circuit above Find the s-domain transfer function: Find the impulse response h(t) H(s) = Vout(s)/Vin(s) · These operations must be performed by hand using Laplace transforms, do not use MATLAB or a circuit simulator. We will verify your hand calculations in lab. Hints: To find the transfer function, find the equivalent impedance of...
s +1.3 For the following questions, suppose G(s)=3x (s +1.4)(s? +2s +1.49) 3. Determine the system impulse response in time domain. (30 marks) 4. Draw its root locus and comment on system stability. (60 marks) 5. If the system can be simplified using the system dominant pole technique into Gi(s) below, obtain the system response for a unit step input, and estimate the overshot and settling time. (50 marks) 3.9 3x(0+1.3) G(S)= (0+1.4)(s? + 25 +1.49) 1.4(s2 + 25 +1.49)
s +1.3 For the following questions, suppose G(s)=3x (s +1.4)(s2 + 2s +1.49) 3. Determine the system impulse response in time domain. (30 marks) 4. Draw its root locus and comment on system stability. (60 marks) 5. If the system can be simplified using the system dominant pole technique into Gi(s) below, obtain the system response for a unit step input, and estimate the overshot and settling time. (50 marks) 3.9. 3x(0+1.3) G(S) = (0+1.4)(s? + 25 +1.49) 1.4(32 +28...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus Plots and Routh- Hurwitz Criterion ofStability A unit feedback control system is to be stabilized using a Proportional Controller, as shown in Figure Q2.1. Proportional Controller Process The process transfer function is described as follows: Y(s) G(s) s2 +4s 100 s3 +4s2 5s 2 Figure Q2.1 Your task is to investigate the stability of the closed loop system using s-domain analysis by finding: a)...
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