2021 Electricity and Magnetism II

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Academic unit or major
Undergraduate major in Electrical and Electronic Engineering
Nishiyama Nobuhiko  Uenohara Hiroyuki 
Course component(s)
Lecture    (ZOOM)
Day/Period(Room No.)
Tue1-2(W932)  Fri1-2(W932)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
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Course description and aims

In this lecture, we will study magnetostatic as sequel chapter of static electricity studied in Electricity and Magnetism I. After this, we will introduce a concept of temporal variation of electricity and magnetism and study their relations. Density of magnetic flux, Magnetic materials, Electromagnetic induction and Magnetic energy will be explained followed by explaining extended Ampere's law based on a concept of displacement current. Through lectures and excises in this class, basic of Electricity and Magnetism will be mastered.

Student learning outcomes

The following abilities will be mastered through this class
1) Understand and explain force produced by current
2) Understand the equations of density of magnetic flux and explain the meaning
3) Explain behaviors and phenomena by magnetic materials and magnetic circuits
4) Explain the meanings of electromagnetic induction and Lorentz force
5) Explain the meanings of inductance and magnetic force
6) Explain the meanings of displacement current and extended Ampere's law


Ampere's law, Magnetic Meterials, Electromagnetic induction, Magnetic energy, Displacement current

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills
・Fundamental specialist skills on EEE

Class flow

Students must submit preparation reports in advance and the reports are evaluated in each class. At the end of each class, students solve some excise problems about the contents of the lecture.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Introduction, Current and Ohm's law ~Definition of current and derivation of Ohm's law Explain the definition of current, and derive ohm's law
Class 2 Electromotive force, Current and static electric field, electric power ~Relation between current and other parameters Understand the electromotive force. Explain the relations between current and static field, electric power
Class 3 Force prodeced by current, Biot-Savart law ~Density of magnetic flux produced by arbitrary current~ Have images about density of magnetic flux produced by current, Explain density of magnetic flux produced by arbitrary current
Class 4 Ampere's law and basic equation of density of magnetic flux ~Derivation from Biot-Savart law ~ Derive relationship equations between current and density of magnetic flux
Class 5 Vector potential and magnetic flux ~Definition of potential having direction and application to the expression to magnetic flux~ Explain difference of the definitions of scalar and vector potentials
Class 6 Magnetic Material, Magnetization and magnetic field, boundary condition ~Definition of magnetization and modification of equations using the definition~ Explain the difference of density of magnetic flux and Ampere's law with a medium, the behavior of the density of magnetic flux at the boundary
Class 7 Magnetic circuit, Review of classes 1-7 ~Expression of magnetic material similar to electrical circuit~ Find correspondence relationship between magnetic and electrical circuits, Review the larned things in past classes
Class 8 Test level of understanding with exercise problems and summary of the first part of the course ~Solve exercise problems covering the contents of classes 1–7~ Test level of understanding and self-evaluate achievement for classes 1–7.
Class 9 Electromagnetic induction ~Faraday's law for electromagnetic induction ~ Lorenz force ~Electromagnetic induction law with coil movement~ Explain the meaning of electromagnetic induction Explain electromagnetic induction law with coil movement
Class 10 Inductance ~Self inductance and mutual inductance~ Explain the meaning of inductance
Class 11 Summary of electromagnetic induction, and inductance Self-evaluate achievement for classes 9–10.
Class 12 Energy accumulated in inductance ~Amount of work given to a coil~ Work by magnetic effect ~Relation between magnetic energy and by movement of object~ Explain the meaning of the energy accumulated in inductance Explain the relation of amount of work between a fixed coil and a variable loop
Class 13 Force by magnetic field ~Principle of virtual displacement Explain the amount of force by magnetic field
Class 14 Displacement current and Maxwell's equation~Extended Ampere's law, , and summary of magnetic energy, force Explain the meaning of displacement current and Maxwell's equation, and self-evaluate achievement for classes 12–13.
Class 15 Test level of understanding with exercise problems and summary of the second part of the course Test level of understanding and self-evaluate achievement for classes 9–14.

Out-of-Class Study Time (Preparation and Review)

To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.


The text should be downloaded from OCW-i.

Reference books, course materials, etc.

Suematsu, Yasuharu. Electricity and Magnetism. Tokyo: Kyoritsu Shuppan. ISBN-13: 978-4320084179 (Japanese)
Goto, Naohisa. Book to understand Electricity and Magnetism. Tokyo Oham-sha. ISBN-13: 978-4274208539 (Japanese)

Assessment criteria and methods

Students' knowledge of Density of magnetic flux, Magnetic materials, Electromagnetic induction, Magnetic energy, laws in electricity and magnetism, and their ability to apply them to problems will be assessed.
In fiscal year 2021, test level of understanding (Class 8 and 14 in total) 60%, reports and exercise problems 40%.

Related courses

  • EEE.E211 : Electromagnetic Fields and Waves
  • EEE.S301 : Waveguide Engineering and the Radio Law
  • EEE.P301 : Electric Machinery
  • EEE.P311 : Power Electronics
  • EEE.C201 : Electric Circuits I
  • EEE.D211 : Semiconductor Physics
  • EEE.D351 : Electron Devices I

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

Students must have successfully completed Electricity and Magnetism I or have equivalent knowledge.

Contact information (e-mail and phone)    Notice : Please replace from "[at]" to "@"(half-width character).

Nishiyama: nishiyama[at]ee.e.titech.ac.jp
Uenohara: uenohara.h.aa[at]m.titech.ac.jp
Notice : Please replace from "[at]" to "[at]"(half-width character).

Office hours

Nishiyama: Accept questions as long as I am in an office. However, contact by e-mail in advance is recommended to avoid out of office.
Uenohara: Contact by e-mail in advance to schedule an appointment


Final examination (Class 15) will be executed in the classroom, as long as it is allowed officially.

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