1. Electrical circuits can usually be considered as an interconnection of lumped elements. FIGURE Q1 shows a R-L-C circuit where V, is the input voltage source and V, is the output voltage. R1 Vi R2 Vo FIGURE Q1 The equations based on electrical laws are the following: VR = İR R1, VR, = iRR, dV ic =C dt dt i = i, = iR , VR =Vc=V. V =VR +Vz +Vc, i=ic, +ig Note that the currents and voltages through the elements (capacitor, inductor and resistor) are expressed through the appropriate subscripts. а. Solve a state space representation using the following variables as states: [VRi,İR:]. b. Develop an s-domain transfer function for the system using the state space representation obtained in part (a).

1. Electrical circuits can usually be considered as an interconnection of lumped elements. FIGURE Q1 shows a R-L-C circuit where V, is the input voltage source and V, is the output voltage. R1 Vi R2 Vo FIGURE Q1 The equations based on electrical laws are the following: VR = İR R1, VR, = iRR, dV ic =C dt dt i = i, = iR , VR =Vc=V. V =VR +Vz +Vc, i=ic, +ig Note that the currents and voltages through the elements (capacitor, inductor and resistor) are expressed through the appropriate subscripts. а. Solve a state space representation using the following variables as states: [VRi,İR:]. b. Develop an s-domain transfer function for the system using the state space representation obtained in part (a).

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...

See similar textbooks

Similar questions

Refer to the circuit of figure below, find ZT. R2 = 20 k2 %3D 1 µAZ0° RIS 400 k2 Xc 50 k X2 40 k2 I3
3Draw the circuit diagram an solve using ohms law asap pls 3. Two lamps rated 100W and 200V areconnected in series across 200V supply . Find the power consumed by each lamp
Shown in the figure below is an electrical circuit containing three resistors and two batteries. I₁ 0= 4 + L . ww R3 R₂ ww 1₂ R₁ ww Write down the Kirchhoff Junction equation and solve it for I, in terms of I₂ and I3. Write the result here: 1₁ = 12-13 R₂=552 R₂ = 132 13 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise. - IzR3 − LR₁ + 14 + 10 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components 4V, R₂, and R₁. 0 = 4-1₂R₂-11R₁ The resistors in the circuit have the following values: R₁ = 12 Solve for all the following (some answers may be negative): I₁ = 27.78 X Amperes 1₂ = 28.84 X Amperes 13 = 1.060 X Amperes NOTE: For the equations, put in resistances and currents SYMBOLICALLY using variables like R₁,R₂,R3 and 11,12,13. Use numerical values of 10 and 4 for the voltages.
In the circuit shown V 100 V, C1 =1u F, R1=29.9 Kohm and %3D R2=100 Kohm. Find value of Vci at t-20msec. the switch is connected to a for long time and at t-0 is connected to b. Figure 1
Application: Construct the circuit in figure. R= 2,2KN, L = 1 mH, and C= 10 nF. L Necesssary Formulae: 1 Xc 2.π.f.C X.-2. π.f. L By using the formulea perform the calculations of Xc and XL then fill the table. f (Hz) Xc XL 50000 60000 70000 80000 90000 100000 110000 120000 130000 140000
-9158388cmid%3D3385218&page%3D15 For the circuit shown in the figure, the Norton current (IN) at terminals a-b is: 32 16V 60 2 2V O a. 12 A b. 5.3 A Oc. 5.67 A Od. 4 A. e. -8 A ge
Find the current I2 4= ? V = ? R = 1.00 ) %3D V = 12.0 V R2 = 6.00 () R= 13.00 2. V2 = ? Select one: a. 12 A b. None of them C. 2.4 A O d. 1 A e. 1.6 A O O O
It is Basic electrical engineering subj. Show your complete and step by step solution. Show the illustrations abd limit the answer into 3 decimal points.
Are R4 and R6 in parallel or in series? Why? Refer to voltage-current measurements for your answer to justify, include a solution.
3) +5V O. SmA 3V R2 M1 R1 1K for M1= Kn= 2MAIVZ 0-7V %3D How should the relation ship between R1 and R2 ressstors be in ofder for the MOSFET to wort?
3. For 6 = 100, VBE = 0.7 V and VE = 4 V, determine a. Ic b. VB C. VCE d. R2 VCc 18V Vcc R1 R3 :1 ΜΩ 2kQ 2 Q1 BJT_NPN_VIRTUAL 3 R4 1.0kQ R2 -w-
. For the circuit given in figure 6, find V_ ms and I_rms on R3. R, R3 ww 10 20 R4 R2 C 40 5Vp Figure 6 ww ww