Concept explainers
(a)
How much is the energy stored in the inductor initially?
(a)
Answer to Problem 56P
The energy stored in the inductor initially is
Explanation of Solution
Write the equation to find the energy stored in an inductor.
Here,
Write the equation to find the current flowing through the inductor.
Here,
Substitute equation (II) in (I) to get
Conclusion
Substitute
Therefore, The energy stored in the inductor initially is
(b)
What is the instantaneous rate of change of inductor’s energy initially?
(b)
Answer to Problem 56P
The instantaneous rate of change of inductor’s energy initially is
Explanation of Solution
The instantaneous rate of change of energy is otherwise called the power of the inductor.
Write the equation to find the power of the inductor.
Here,
Write the equation to find the emf in the inductor.
Here,
Conclusion:
Substitute
Substitute
Therefore, The instantaneous rate of change of inductor’s energy initially is
(c)
What is the average rate of change of the inductor energy between time
(c)
Answer to Problem 56P
The average rate of change of the inductor energy between time
Explanation of Solution
Write the equation to find the average power between time
Here,
Conclusion:
Substitute
Therefore, The average rate of change of the inductor energy between time
(d)
How long does it take for the current in the inductor to reach
(d)
Answer to Problem 56P
It lakes
Explanation of Solution
Let
Write the equation to find the current after time
Here,
Take log and simplify equation (I) to get
Conclusion:
Substitute
Therefore, it lakes
Want to see more full solutions like this?
Chapter 20 Solutions
Loose Leaf For Physics With Connect 2 Semester Access Card
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON