For the same differential equation as in Problem 1: * + 2a + 25 x = 25 v (t) Find the condition on a so that the zero-input response is overdamped. 0 a 70 0a>5 Ο α Σ ν 25 O a ≥ 25

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...
icon
Related questions
Question
100%

please help and clearly explain number 2. How would I find critical and underdamped?

 

Question 2
For the same differential equation as in Problem 1:
* + 2a + 25 x
25 v (t)
Find the condition on a so that the zero-input response is overdamped.
○a #0
a> 5
a > ν 25
O a ≥ 25
=
Transcribed Image Text:Question 2 For the same differential equation as in Problem 1: * + 2a + 25 x 25 v (t) Find the condition on a so that the zero-input response is overdamped. ○a #0 a> 5 a > ν 25 O a ≥ 25 =
Question 1
dx (t)
* (t)
dt
Consider the following differential equation:
25 v (t)
* + 2a + 25 x =
9
O Xz-i (s)
x (0) = 5, * (0)
Let the external input be zero. Write the Laplace transform of the zero-input-response xz-i (t),
i.e., Xz-i (s) L{xi (t)} in terms of the given initial conditions and a
O Xz-i (s)
* (t)
=
=
(Note: All given initial conditions are just before t = 0, i.e.,
x (0) x (0), * (0) * (0_ ) in all problems).
=
=
O Cannot be determined with the given information.
O Xz-i (s)
=
d² x(t)
dt²
= - 29
25
with initial conditions:
s²+2 as+25
a 5
82 +2 as+25
5 (8+2a) - 29
s2+2 as+25
Transcribed Image Text:Question 1 dx (t) * (t) dt Consider the following differential equation: 25 v (t) * + 2a + 25 x = 9 O Xz-i (s) x (0) = 5, * (0) Let the external input be zero. Write the Laplace transform of the zero-input-response xz-i (t), i.e., Xz-i (s) L{xi (t)} in terms of the given initial conditions and a O Xz-i (s) * (t) = = (Note: All given initial conditions are just before t = 0, i.e., x (0) x (0), * (0) * (0_ ) in all problems). = = O Cannot be determined with the given information. O Xz-i (s) = d² x(t) dt² = - 29 25 with initial conditions: s²+2 as+25 a 5 82 +2 as+25 5 (8+2a) - 29 s2+2 as+25
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
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,