At time, t = 0 the current in an RL - series circuit is zero Amperes. Suppose that a variable resistor, R = N and a 4 - Henry inductor are connected in series with constant electromotive force of Evolts. Determine E so that i = 10A when t = 10sec.
At time, t = 0 the current in an RL - series circuit is zero Amperes. Suppose that a variable resistor, R = N and a 4 - Henry inductor are connected in series with constant electromotive force of Evolts. Determine E so that i = 10A when t = 10sec.
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
Related questions
Question
The topic is about Applications of First Order Differential Equations. The problem given is about RL Circuits. The first image attached is how I want to answer the given problem which can be seen on the second image attached.
Please provide a complete solution. (of how I want to answer it) Thanks! Will give you a thumbs up.
Transcribed Image Text:At time, t = 0 the current in an RL - series circuit is zero Amperes. Suppose that a variable resistor, R =
3t+34
N and a 4 - Henry inductor are connected in series with constant
electromotive force of E volts. Determine E so that i = 10A when t = 10sec.
![A battery giving a constant voltage of 40 V is connected in series to a
resistor of resistance 20 Q and an inductor of inductance 1 H. If the
i = Ke-20t
+ 2
initial current in the circuit is 3 amperes, find the current after t
seconds. What is the steady state current?
i(0) =
3D ЗА:
K
= 1.000
-20t
.: i(t) = e
+ 2
di
+ Ri = E
dt
Given:
Solution:
E = 40 V
-20t
di
+ 20i = 40
dt
B] lim i(t) = lim e
+ lim 2
R = 20 N
1
L = 1 H
P(t) = 20;
Q(t) = 40
lim i(t)
+ 2
-20(0)
e
i(0) = 3 A
Ø = eS 20dt
= e20t
lim i(t) = 2 A
Required:
| e 20t dt
20t
a) i(t)
.. i· e
= 40
Transient Term: e-20t
b) lim i(t)
i• e20t = 2e20t + K](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F848fc417-4af3-48b9-8aae-84f98009e11e%2Fd11e4d03-a53c-499e-bbb4-e028be17c5d6%2Fzupqwzo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A battery giving a constant voltage of 40 V is connected in series to a
resistor of resistance 20 Q and an inductor of inductance 1 H. If the
i = Ke-20t
+ 2
initial current in the circuit is 3 amperes, find the current after t
seconds. What is the steady state current?
i(0) =
3D ЗА:
K
= 1.000
-20t
.: i(t) = e
+ 2
di
+ Ri = E
dt
Given:
Solution:
E = 40 V
-20t
di
+ 20i = 40
dt
B] lim i(t) = lim e
+ lim 2
R = 20 N
1
L = 1 H
P(t) = 20;
Q(t) = 40
lim i(t)
+ 2
-20(0)
e
i(0) = 3 A
Ø = eS 20dt
= e20t
lim i(t) = 2 A
Required:
| e 20t dt
20t
a) i(t)
.. i· e
= 40
Transient Term: e-20t
b) lim i(t)
i• e20t = 2e20t + K
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
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
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning