### 2019　Fundamentals of Electromagnetism 2 D

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Basic science and technology courses
Instructor(s)
Nakamura Takashi
Class Format
Lecture
Media-enhanced courses
Day/Period(Room No.)
Tue1-2(H135)
Group
D
Course number
LAS.P104
Credits
1
2019
Offered quarter
4Q
Syllabus updated
2019/3/22
Lecture notes updated
-
Language used
Japanese
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### Course description and aims

Following Fundamentals of Electromagnetism 1, this course covers static magnetic fields, changing electromagnetic fields, Maxwell’s equations, and electromagnetic waves.

Electromagnetism is important for understanding nature, and is essential for the study of science, engineering, life sciences, and other specialized courses. Students will learn the basic laws of electromagnetism in vacuum, and their mathematical descriptions. This will allow them to understand general electromagnetic phenomena as well as allow them to solve general problems in electromagnetism.

### Student learning outcomes

By completing this course, students will be able to:
1) Understand the concepts of induced electromotive force, induced electric field, self-induction, mutual induction, magnetic energy, displacement current, etc., correctly, and describe them mathematically.
2) Understand Gauss's law for magnetic flux density, Ampére’s law, Faraday's law and Maxwell-Ampére’s law correctly, and apply them to solve problems in electromagnetism.
3) Understand electromagnetic waves on the basis of Maxwell’s equations.
4) Find mathematical solutions to problems in electromagnetism expressed by the appropriate equations, and explain the physical meaning of said solutions.

### Keywords

Gauss's law, Ampére’s law, electromagnetic induction, Faraday's law, induced electromotive force, induced electric field, self-inductance, mutual inductance, magnetic energy, displacement current, Maxwell-Ampére’s law, Maxwell’s equations, electromagnetic waves

### Competencies that will be developed

 ✔ Specialist skills Intercultural skills Communication skills Critical thinking skills ✔ Practical and/or problem-solving skills

### Class flow

Two-thirds of each class is devoted to fundamentals and the rest to advanced content or application. To allow students to get a good understanding of the course contents and practice application, problems related to the contents of this course are provided in Exercises in Physics II.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Electric current and magnetic field I: Ampere's law Explain Ampere's law
Class 2 Electric current and magnetic field II: Gauss's law on magnetic flux density Explain Gauss's law on magnetic flux densities.
Class 3 Electric current and magnetic field III: Force executed on electric currents and magnetic moment Derive the force between the two conduction lines with electric currents in parallel
Class 4 Electric current and magnetic field IV: Biot-Savart's law Extract the magnetic flux density on the axis through the center of the circle with an electric current.
Class 5 Electromagnetic induction (Faraday's law, induced electromotive force, induced electric field) Explain electromagnetic induction.
Class 6 Self-induction and mutual induction (self-inductance, mutual inductance, magnetic energy) Explain self-induction and mutual induction.
Class 7 Electromagnetic waves (derivation of electromagnetic plane waves, speed of electromagnetic waves, energy in electromagnetic waves, properties of electromagnetic waves) Derive electromagnetic plane waves from Maxwell’s equations.

### Textbook(s)

Denjikigaku (Electromagnetism) by Hidekazu Tanaka, Baifukann publishing

### Reference books, course materials, etc.

Not specified. Some handouts are delivered in the class or via OCW

### Assessment criteria and methods

Learning achievement is evaluated by homework and a final exam.

### Related courses

• LAS.P106 ： Exercises in Physics II

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

No prerequisites.