Understand the basic questions and solutions for transient phenomena. Understand not only mathematical interpretation but also physical meaning. Three types of circuits will be covered:
(1) Single-energy circuits (R-L circuits, R-C circuits)
Understand and solve single energy circuits.
(2) Multiple-energy circuits (R-L-C circuits)
Multiple types of energy questions. Basic design knowledge of oscillation circuits.
(3) Distributed-element circuits
Understand the basic properties and the association with real-world lines such as communication lines and transmission lines.
Outline:
In this course, we will clarify the difference between steady-state and transient phenomena, and learn about the transient phenomena of single- and multiple-energy circuits and distributed-element circuits. We will describe how to solve differential equations using Laplace transform for such transient phenomena.
Style:
Students who miss 1/3 or more of classes will not be eligible for evaluation.
100% on periodic exams.
The minimum score for a pass will be 60 marks on the above exams.
The criteria for a pass is the following three points:
(1) Understand the basic questions and solutions for transient phenomena.
(2) Understand and can analyze transient phenomena in single- and multiple-energy circuits and distributed-element circuits
(3) Understand not only mathematical interpretation but also physical meaning.
Notice:
Since the course will mainly involve solving differential equations using Laplace transform, students need to study the Laplace transform and inverse conversions of various mathematical functions.
Students who miss 1/3 or more of classes will not be eligible for a passing grade.
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Theme |
Goals |
| 1st Semester |
| 1st Quarter |
| 1st |
The basics of transient phenomena and question solving
Describe the basic concepts of transient phenomena and provide learning guidance on how to handle them. Explain how to solve transient phenomena questions in a single-energy R-L circuit. |
Can explain how to solve transient phenomena questions in a single-energy R-L circuit.
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| 2nd |
Transient phenomena in single-energy circuits (1)
In general, transient phenomena in R-L or R-C circuits do not cause vibrations because only one of the electrostatic or magnetic field energies exists. Learn about such circuits. |
Understand that a transient phenomenon in an R-L or R-C circuit does not cause vibration because only one of the electrostatic or magnetic field energies exists.
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| 3rd |
Transient phenomena in single-energy circuits (2)
Following the previous week, explain how to solve basic questions using Laplace transforms that are handful for handling initial values. |
Use the Laplace transform to solve basic questions.
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| 4th |
Transient phenomena in single-energy circuits (3)
Learn about transient phenomena in single-energy circuits when an alternating electromotive force is applied. |
Understand transient phenomena in a single energy circuit when an alternating electromotive force is applied.
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| 5th |
Definition of Laplace transforms, theorem and inverse conversion of Laplace transforms
Define Laplace transforms and provides guidance on how to use it to solve questions. Explain and do exercises on the various theorem and the inverse conversion of the Laplace transform that is necessary to solve actual questions. |
Can use the various theorems and the inverse conversion of the Laplace transform.
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| 6th |
The basics of circuit analysis using the Laplace transform
For a basic circuit containing L or C, explain how to use the Laplace transform to determine the general solution for voltage and current. |
Can find the general solution for voltage and current by using the Laplace transform.
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| 7th |
Exercise
Do exercises on transient phenomena in single-energy circuits. |
Exercise
Do exercises on transient phenomena in single-energy circuits.
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| 8th |
Transient phenomena in multiple-energy circuits (1)
In a circuit where magnetic field energy and electrostatic energy both exist, in other words, a circuit that consists of L, C, and R, the differential equations will become second order ones, and there will be cases in which vibrations occur and others not. Learn about such circuits.
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Understand the basics of transient phenomena in multiple-energy circuits, and how to solve them using differential equations.
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| 2nd Quarter |
| 9th |
Transient phenomena in multiple-energy circuits (2)
Learn about transient phenomena of discharge in multiple-energy LRC circuits when a DC electromotive force is applied. |
Understand transient phenomena of discharge in multiple-energy LRC circuits when a DC electromotive force is applied.
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| 10th |
Transient phenomena in multiple-energy circuits (3)
Learn about transient phenomena when an alternating electromotive force is applied to a multiple-energy LRC circuit. |
Understand transient phenomena when an alternating electromotive force is applied to a multiple-energy LRC circuit.
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| 11th |
The basics of the steady-state and transient phenomena in distributed-element circuits.
Derive the basic equations of distributed-element circuits during steady-state and transient phenomena and explain basic concepts and interpretation. |
The basics of the steady-state and transient phenomena in distributed-element circuits.
Can derive the basic equations of distributed-element circuits during steady-state and transient phenomena and explain basic concepts and interpretation.
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| 12th |
Transient phenomena in distributed-element circuits (1)
Introduce solutions using the Laplace transform for infinite, lossless, and strain-free lines. |
Transient phenomena in distributed-element circuits (1)
Understand the solution of infinite, lossless, and strain-free lines using the Laplace transform.
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| 13th |
Transient phenomena in distributed-element circuits (2)
Following the previous week, learn how to solve the transient phenomena in distributed-element circuits using the Laplace transform. Find the wave propagation speed on the line. |
Learn how to solve the transient phenomena in distributed-element circuits using the Laplace transform. Can find the wave propagation speed on the line.
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| 14th |
Exercise
Do exercises on multiple-energy circuits and distributed-element circuits. |
Exercise
Do exercises on multiple-energy circuits and distributed-element circuits.
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| 15th |
Total review |
Total review
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| 16th |
Final exam
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Final exam
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