Please answer in typing format 7-a. Write the two simultaneous differential equations that describe the circuit shown in Fig.below in terms of the mesh currents i, and i2.b. Laplace-transform the equations derived in (a). Assume that the initialthe circuit is zero.c. Solve the equations in (b) for I₁(s) and I2(s).energystored in100 Ω10 H40 Ωww180 V15 H20 H160 Ω

The given circuit isa. We need to write the differential equations in terms of mesh currents i1 and…

Answered: 7- a. Write the two simultaneous…

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

Show that a system of differential equations that describes the currents i(t) and i3(t) in the electrical network shown in the figure below is di 3 dt 9 = so E(t) = Li₁' + L diz L dt di 2 -R₁ dt diz dt diz -R1 dt Ai₁ E + L Then 13 = 9' = CR₁12 - CR₂13' + R₂ 00000 L Using Kirchhoff's first law we have i₁ = 12 + 13. By Kirchhoff's second law, on each loop we have E(t) = Li₁' + +L + R₂ so that in terms of C, R₁, R₂, 12 and 13 we have the following. di3 dt di 3 dt + di 3 dt + R₁₂ = E(t) iz R₂ 1/13 R₁ + R₁/2 = E(t) + = 0. = 0. C
Determine a system of first-order differential equations that describes the currents i, (t) and i,(t) in the electrical network shown in the figure below. ww R1 E L2 R2 R3 D2 + R,i3 = E + dt dig + R,i2 + dt | )» = e
Find the damping ratio for V, for the following circuit given the following parameters. Solve for the differential equation symbolically so that you can use the same result in the next question. Otherwise you will have to repeat the process with new numbers. Also be wary of the given units. C = 2mF, L = 1mH, R₁ = 40, R₂ = 72 and R3 = 79 12v R₁ C= t=0 t www R₂ www R3 celler
A linear system is described by the differential equation dy² dy du +5 +6y=2- +1 dt² dt dt Find the system poles and zeros and plot their diagram.
Given that: R1=9420, R2=9531, R3=9803, Vs=2.6, The circuit shown below is at a steady-state before the switch closes at time t=0. Find Rth for t>0 R1 2 VsV R22 250 mF v(t) R32 Select one: O a. 6371.788725 O b. 4832.543343 O c. 19334.000000 O d. none of the above
Find the damping ratio for V, for the following circuit given the following parameters. Solve for the differential equation symbolically so that you can use the same result in the next question. Otherwise you will have to repeat the process with new numbers. Also be wary of the given units. C = 6mF, L = 7mH, R₁ = 6, R₂ = 90 and R3 = 50 12v R₁ t=0 * R₂ R3
Indicate the minimal circuit that implements the behavior of the equation below. F<= Ā-C + B-C + A-B-Č + Ā·B-C + A•C A A A B B A В C D I AC
Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min A B C a gal b gal c gal mixture mixture mixture 4 gal/min 4 gal/min 4 gal/min Use the information in the figure to construct a mathematical model for the number of pounds of salt x, (t), x,(t), and x,(t) at time t in tanks A, B, and C respectively. (Assume a = 300, b = 150, and c = 50.) dx1 dt dx2 dt = dx3 dt Without solving the system, predict limiting values of x,(t), x,(t), and x3(t) as t → co. lim x,(t) = t- 00 lim x,(t) = t- 00 lim x3(t) =
I. From the given block diagram below, find the following: a) the total output of the system. b) the error ratio due to R₂. c) the differential equation due to R₁. d) the characteristic equation of the system. s + 1 R₁ + + R3 35² 4 2s - 1 + - 1/s s - 1 1/s² R₂ 2/s
Find the damping ratio for V. for the following circuit given the following parameters. Solve for the differential equation symbolically so that you can use the same result in the next question. Otherwise you will have to repeat the process with new numbers. Also be wary of the given units. C= 1mF, L = 2mH, R1 = 82, R2 = 72 and R3 = 6N t=0 R. R2 12v R3 eer
determine the equations for vL(t) and i(t) for the following RL circuit when the switch is closed at t = 0 seconds. what are the values for vL, vR1 and i just before the switch closes, just as the switch closes (initial) and after a long time (steady state)?
of on In order to change the behavior of a 2nd order underdamped system, we need to move its closed-loop poles on the s-plane happened to the damping ratio? it......... Select one: O a. stayed the same O b. none of these O c. increased O d. decreased jo M 14 x +11 # H

SEE MORE QUESTIONS

Recommended textbooks for you

Introductory Circuit Analysis (13th Edition)

Electrical Engineering

ISBN:

9780133923605

Author:

Robert L. Boylestad

Publisher:

PEARSON

Delmar's Standard Textbook Of Electricity

Electrical Engineering

ISBN:

9781337900348

Author:

Stephen L. Herman

Publisher:

Cengage Learning

Programmable Logic Controllers

Electrical Engineering

ISBN:

9780073373843

Author:

Frank D. Petruzella

Publisher:

McGraw-Hill Education

Introductory Circuit Analysis (13th Edition)

Electrical Engineering

ISBN:

9780133923605

Author:

Robert L. Boylestad

Publisher:

PEARSON

Delmar's Standard Textbook Of Electricity

Electrical Engineering

ISBN:

9781337900348

Author:

Stephen L. Herman

Publisher:

Cengage Learning

Programmable Logic Controllers

Electrical Engineering

ISBN:

9780073373843

Author:

Frank D. Petruzella

Publisher:

McGraw-Hill Education

Fundamentals of Electric Circuits

Electrical Engineering

ISBN:

9780078028229

Author:

Charles K Alexander, Matthew Sadiku

Publisher:

McGraw-Hill Education

Electric Circuits. (11th Edition)

Electrical Engineering

ISBN:

9780134746968

Author:

James W. Nilsson, Susan Riedel

Publisher:

PEARSON

Engineering Electromagnetics

Electrical Engineering

ISBN:

9780078028151

Author:

Hayt, William H. (william Hart), Jr, BUCK, John A.

Publisher:

Mcgraw-hill Education,

SEE MORE TEXTBOOKS