2019 Electricity and Magnetism II

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Academic unit or major
Undergraduate major in Electrical and Electronic Engineering
Hirokawa Jiro  Nishiyama Nobuhiko 
Class Format
Media-enhanced courses
Day/Period(Room No.)
Tue5-6(S221)  Fri5-6(S221)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
Language used
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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

Corresponding educational goals are:
(1) Specialist skills Fundamental specialist skills
(6) Firm fundamental specialist skills on electrical and electronic engineering, including areas such as electromagnetism, circuits, linear systems, and applied mathematics


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

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, Force produced by current Have images about density of magnetic flux produced by current
Class 2 Biot-Savart law ~Density of magnetic flux produced by arbitrary current~ Explain density of magnetic flux produced by arbitrary current
Class 3 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 4 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 5 Magnetic Material ~Magnetic flux under the existence of medium~ Explain difference of density of magnetic flux and Ampere's law between vacuum and medium
Class 6 Magnetization and magnetic field, boundary condition ~Definition of magnetization and modification of equations using the definition~ Explain the definition of magnetization and behavior of the density of magnetic flux at the boundary of mediums
Class 7 Magnetic circuit ~Expression of magnetic material similar to electrical circuit~ Find correspondence relationship between magnetic and electrical circuits
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 ~ Explain the meaning of electromagnetic induction
Class 10 Lorenz force ~Electromagnetic induction law with coil movement~ Explain electromagnetic induction law with coil movement
Class 11 Inductance ~Self inductance and mutual inductance~ Explain the meaning of inductance
Class 12 Energy accumulated in inductance ~Amount of work given to a coil~ Explain the meaning of the energy accumulated in inductance
Class 13 Work and energy by magnetic effect ~Relation between magnetic energy and mechanistic amount of work by movement of object~ Explain the relation of amount of work and energy between a fixed coil and a variable loop
Class 14 Displacement current and Maxwell's equation ~Extended Ampere's law~ Explain the meaning of displacement current and Maxwell's equation
Class 15 Wave equation, plane wave Derive wave equation and explain meaning of plane wave


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.
Midterm exam 40% and final exam 40%, reports and exercise problems 20%.

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).

Hirokawa: jiro[at]ee.e.titech.ac.jp
Nishiyama: nishiyama[at]ee.e.titech.ac.jp

Office hours

Hirokawa: Contact by e-mail in advance to schedule an appointment
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.

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