a) Find the transfer function G(s) = Vo(s) /Vi(s) of the RLC circuit shown in Fig 2Vo (s)below.Vi (s)i+ >i.ii.RFigure 2.b) With a sketch, discuss the following with respect to Time Domain Analysis ofControl SystemswwwwwLmTransient responseSteady state responsec) Obtain and draw the analogous electrical circuit of the system drawn in figure3.K HDCTFigure 3

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Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Given responses in a first-order RC or RL circuit, (a) describe how you would find the circuit parameters or other responses. (b) How would you find the circuit’s natural frequencies and initial conditions (if not given)?
Q3: In term ofR, L, and C of the circuit shown in figure Q3, answer the following 1- Derive an expression for the transfer function Y (s) /U (s). 2- The condition for underdamped response and the expression for Wa. 3- The condition for critically damped response. 4- The condition for overdamped response. 5- The condition for undamped response.
R(s) G₁(s) G₂(s) G4(S) G6(s) G3(s) G5(s) - H₁(s) G7(s) b) Find the equivalent transfer function of this system. -H₂(s) C(s) - H3(s) a) Convert the signal flow graph into an equivalent block diagram, no simplification needed
QUESTION 3 Which of the following best describes the relationship between state-space and transfer function modeling? O State-space modeling is more accurate than transfer function models. The two models are complementary. The two models are inconsistent. State-space models are derived from physical laws, whereas transfer functions are not. QUESTION 4 Which of the following could be elements of the state of an RLC circuit with applied voltage V(t)? The values of R and L The initial value of the current, i(0), and the voltage across the capacitor V(0). The applied voltage v(t) and the voltage across the capacitor V(t). The current i(t) and the voltage across the capacitor vc(t). O The current i(t) and the voltage across the resistor Ri(t).
For an electrical circuit system shown in Figure Q1, analyze the circuit and then describe the transfer function, G (s) = Eo (s) / Ei (s). R1 R2 V(s) Vo(s) I(s) V(s) R3 V2(8) C
Problem 3. Reduce the system shown in Figure P.3 to a single transfer function, T(s) = C(s)/R(s). R(S) O G₁(s) G3(8) G₂(s) H(s)- Figure P.3 Ga(s) C(s)
Q3. Consider a system with the mathematical model given by the following differential equation. Find the transfer function of the system d²y dt + 10 + 5- + 2y = u(t). di? di
Given a second order system defined by the transfer function 1600 s2 + 32s + 1600 Damping Ratio Normalized Rise Time 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.104 1.203 1.321 1.463 1.638 1.854 2.126 2.467 2.883 Determine the FF: a) natural frequency b) damping ratio c) settling time d) peak time e) percent overshoot f) rise time.
Find C(s)/R(s) for the system using Block Diagram Reduction and Signal Flow Graph.. R(s) + G₁(s) H₁(s) G₂(s) H₂(s) C(s)
Electrical Engineering 1) For the following RLC circuit • Specify the dynamics for the system (write N coupled differential equations) Express these dynamics in state-space form Determine the transfer function from Vin to Y 2) For the transfer function from Vin to Y • Determine a Ist or 2nd-order approximation for this trasfer function • Plot the step response of the actual 5th-order system and its approximation 3) For this circuit. • What initial condition will the energy in the system decay as slowly as possible? • What initial condition will the energy in the system decay as fast as possible? 0.1H 30 l 0.01F V2 40 0.02F V3 Vin 0.2H Problem 1 - 3
Q1: (a) Determine the transfer function relating V2(s) and V2(s) for the passive electrical network shown in Figure (b) When C=2 uF and RI = R2 1 M2, Find an expression for the unit step response. R1 R2 V2(t)
Explain, with the use of appropriate diagrams, what is meant by the term “transfer function”. What is meant by the terms “dynamic and steady-state response” and “time constant” (again, use appropriate diagrams as necessary) Calculate the transfer function of the system shown in an image:

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a) Find the transfer function G(s) = Vo(s) Vi(s) of the RLC circuit shown in Fig 2 below. Vo (s) Vi (s)