Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Figure 1 shows an electric circuit that can be represented by a system of differential equations.

Figure 1 shows an electric circuit that can be represented by a system of differential equations.

Introductory Circuit Analysis (13th Edition)
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
icon
Related questions
Question
Question 4 Figure 1 shows an electric circuit that can be represented by a system of differential equations. Ic R2 la E R1 FIGURE 1. Electric circuit If I, and I. describe the currents of the circuit, by Kirchhoff's first law, we can write Ia (t ) = I½ (t) +Ie ().
Transcribed Image Text:Question 4 Figure 1 shows an electric circuit that can be represented by a system of differential equations. Ic R2 la E R1 FIGURE 1. Electric circuit If I, and I. describe the currents of the circuit, by Kirchhoff's first law, we can write Ia (t ) = I½ (t) +Ie ().
(a) Applying the Kirchhoff's second law, show that the system of differential equa- tions is dlb +L dt dIc L +R¡I½ = E (t), dt -R1 dlh R2 dle 1 = 0. dt Use the Laplace transform to solve the system in (a) if R1 = 102, R2 = 52, L= 1H, C= 0.2F, I,(0) = 0, Ic(0) = 0 and (b) 120, 0<t<2, E (t) = 0, t > 2. (c) Calculate the current Ia(t).
Transcribed Image Text:(a) Applying the Kirchhoff's second law, show that the system of differential equa- tions is dlb +L dt dIc L +R¡I½ = E (t), dt -R1 dlh R2 dle 1 = 0. dt Use the Laplace transform to solve the system in (a) if R1 = 102, R2 = 52, L= 1H, C= 0.2F, I,(0) = 0, Ic(0) = 0 and (b) 120, 0<t<2, E (t) = 0, t > 2. (c) Calculate the current Ia(t).
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Electric heating unit
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS