Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
ask z Show that the LRC circuit given below can be described by the differential equation L d²i + R di + 1 = 0 dt² dt C If L = 0.192 Henry; C = 30 x 106 farads and R = 160 ohms, solve the equation given that when time t= 0. i = 0 and di = 50 dt E C

ask z Show that the LRC circuit given below can be described by the differential equation L d²i + R di + 1 = 0 dt² dt C If L = 0.192 Henry; C = 30 x 106 farads and R = 160 ohms, solve the equation given that when time t= 0. i = 0 and di = 50 dt E C

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

Q2 Redux

 

Task 2 Show that the LRC circuit given below can be described by the differential equation L d²i + R di + 1 = 0 dt² dt C If L = 0.192 Henry; C = 30 x 10-6 farads and R = 160 ohms, solve the equation given that when time t = 0. i = 0 and di = 50 dt E R C
Transcribed Image Text:Task 2 Show that the LRC circuit given below can be described by the differential equation L d²i + R di + 1 = 0 dt² dt C If L = 0.192 Henry; C = 30 x 10-6 farads and R = 160 ohms, solve the equation given that when time t = 0. i = 0 and di = 50 dt E R C
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

It makes sense up to that point but I'm getting a little confused on how you got C1 & C2.

Solution of differential equation will i(t) = C₁e At t = 0, i(0) = C₁e 0 = C₁+C₂ i(t) dt 50 1250 3 = Solve both equation, we get Differentiate i(t) w. r. t time, we get 1250, -t C₂e-t 1250 3 1250 3 C₁ C₂ -XO 1250 3 -t = = + C₂e-t + C₂e-⁰ (1) C₁e 3 C₁ - C₂ 150 1247 150 1247 - (2)
Transcribed Image Text:Solution of differential equation will i(t) = C₁e At t = 0, i(0) = C₁e 0 = C₁+C₂ i(t) dt 50 1250 3 = Solve both equation, we get Differentiate i(t) w. r. t time, we get 1250, -t C₂e-t 1250 3 1250 3 C₁ C₂ -XO 1250 3 -t = = + C₂e-t + C₂e-⁰ (1) C₁e 3 C₁ - C₂ 150 1247 150 1247 - (2)
Solution
Bartleby Expert
SEE SOLUTION
Similar questions
  • SEE MORE QUESTIONS
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