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.
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
|Intercultural skills||Communication skills||Specialist skills||Critical thinking skills||Practical and/or problem-solving skills|
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|
|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|
Asada, Masahiro and Hirano, Takuichi. Electricity and Magnetism. Tokyo: Baifukan ISBN-13: 978-4563069810 (Japanese)
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)
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%.
Students must have successfully completed Electricity and Magnetism I or have equivalent knowledge.
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.