Get a state space model for the following electrical system. Make sure to clearly definethe states and input(s) using state space notation (x1,x2, ... , Xn for state variables,u1, U2, ... , Um for inputs, and so on). There are two outputs: the voltage of the capacitorC, and the current of the inductor L2. It is given that R1 = 5 N, R2 = 3 N, C = 10 F,L1 = 4 H, L2 = 7 H.%3DelllR2R.Vs

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Answered: Get a state space model for the…

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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For the circuit, now keep switch J2 closed, close switch J1. Determine the expressions for the voltage across the capacitor and the current delivered by the source. Find the time it takes for the capacitor to reach its final voltage and what value it is.
a. As capacitor charges, describe the behavior of: i.current with time ii. the voltage across the resistor with time iii. capacitor voltage withtime Explain the reason for each behavior.
A capacitor can be used .............................................. in electrical circuits. Which of the followings fit? To regulate the currents To regulate the voltages To store energy by deposition of electric charges To provide energy as passive circuit element To store energy in the form of magnetic field To create time varying voltages and currents To dissipate energy To convert elektrik energy into heat or light
R₁ (10 m) 0.2 H ми 00000 &₁ = 50V R₂ (200) E₂ = 30V
4. Voltage across capacitor is vc. With ve and it as a set of state variables derive the state model. $4, R₁ vic R₂
Complete this Compound circuit with equations....
+ M V1 Li L V2
An RC circuit includes a basic switch. In position "a", the battery, resistor and capacitor are connected in series, and the capacitor charges. In position "b", the battery is replaced with a short, and the capacitor will discharge. Two voltmeters and an ammeter have been added to the circuit. A) Enter an expression for the charge as a function of time. B) What is the maximum value of the current after the switch is closed? C) Enter an expression for the current as a function of time. Your answer must explicitly reference the maximum current, Imax, that was determined in the previous step. D) Enter an expression for the voltage measured across the resistor, VR, as a function of time. E) Enter an expression for the voltage measured across the capacitor, VC, as a function of time. F) Add an expression for the sum of the voltages across the resistor and the capacitor as a function of time, VR + VC
3. For the R-C circuit in below figure, composed of standard values: a. Determine the time constant of the circuit when the switch is thrown into position 1. b. Find the mathematical expression for the voltage across the capacitor and the current after the switch is thrown into position 1. c. Determine the voltage Vc and current éc the instant the switch is thrown into position 2, t-1s. d. Determine the mathematical equation for voltage Ve and current zc for the discharge phase. R=4.7KO, C=56µF, E=22V + 'R 29 ve (a)
QUESTION 1 a) State two (2) main properties or acts of each capacitor and inductor in RL and RC cireuit analysis ( voltage and current ). b) Define what is capacitor and inductor. Support the answers with an appropriate illustration of capacitor and inductor basic structure. c) Natural response happens to all passive storage element component. Explain natural response for circuit behaviour for a capacitor with an appropriate illustration. d) The switch in circuit Figure 1 has been closed at t 0. 6 A 10 0 i(t) 7.5 H Figure 1: First Order RL Circuit
The value of the Inductance can be determined by V2 E2I, if 'E' is energy stored in inductor and 'I' is current flowing through inductor. Select one: O True O False
An inductor is "charged" to some value, then connected in series with a 1002 resistor and allowed to "discharge". A measurement of the potential difference across the resistor is shown in the figure below. Compute the time constant of the circuit, the inductance of the inductor, and the initial current through the inductor. 12 10 8 6 Potential across resistor (V) 2 0 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 time (s)

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