This course aims to give the concepts of electromagnetism which can be basis of wide fields of science and engineering. The course begins with static electric and magnetic fields followed by alternating fields, includes examples in various situations and finally reaches the Maxwell Equations that comprehensively describe electromagnetic phenomena.
Students gain the knowledge and skills to (1) explain the concepts of electric and magnetic fields, potential, energy and describe them mathematically, (2) understand electromagnetic phenomena through the Maxwell Equations comprehensively, and (3) solve problems in various situations using the mathematical framework given by the Maxwell Equations.
Coulomb's law, electric field, Gauss’ law, potential, energy, magnetic field, Ampère's circuital law, Biot-Savart law, electromagnetic induction, Maxwell Equation, Lorentz force, specail relativity
|Intercultural skills||Communication skills||Specialist skills||Critical thinking skills||Practical and/or problem-solving skills|
The course follows the textbook "The Feynman Lectures on Physics: Volume II". At the end of each lecture, a small test is presented to test the student's comprehension.
|Course schedule||Required learning|
|Class 1||Electrostatics||Learn about mathematical method to describe static electric fields and explain the Coulomb's law with the Gauss' law.|
|Class 2||Application of Gauss’ Law||Derive static electric field using the Gauss's law.|
|Class 3||The Electric Field in Various Circumstances||Derive electric fields in various circumstances such as an electric dipole moment, conductor, a parallel plate condenser.|
|Class 4||Electrostatic Energy||Learn about the relation between static electric field and energy, and explain electrostatic energy.|
|Class 5||Dielectrics||Learn about dielectrics and polarization and derive electric fields created by dielectric material.|
|Class 6||Magnetostatics||Learn about mathematical method to describe static magnetic fields and explain magnetic fields created by electric current with Ampère's circuital law.|
|Class 7||The Magnetic Field in Various Situations||Derive magnetic fields in various situation such as a coil and magnetic dipole.|
|Class 8||Induced Currents||Learn about mathematical method to describe alternating fields and explain electromagnetic induction.|
|Class 9||The Maxwell Equations||Learn the Maxwell equations to comprehensively describe electromagnetic phenomena and explain concept of Maxwell equations.|
|Class 10||Electromagnetic wave in free space||Derive electromagnetic wave from Maxwell equations.|
|Class 11||Solutions of Maxwell’s Equations with Currents and Charges||Derive electromagnetic fields created by currents and charges, and explain propagation of an electromagnetic wave.|
|Class 12||Electromagnetic fields of an oscillating dipole||Derive electromagnetic fields of an oscillating dipole|
|Class 13||Propagation of electromagnetic waves through waveguides||Solve problems on propagation of electromagnetic waves.|
|Class 14||The Motion of Charges in Electric and Magnetic Fields||Learn about the motion of charges in electric magnetic fields, and solve problems on the motion of charges.|
|Class 15||Field energy||Explain energy of electromagnetic fields.|
R. P. Feynman, R. B. Leighton, M. Sands, The Feynman Lectures on Physics: Volume II, Pearson (1970). An online version is available at the Caltech. See the link below:
Students are evaluated through a set of a final exam (weight = 60%) and small tests in lectures (weight = 40%).
Differential and integral calculus are used in the course. Knowledge of differential equations is also needed. Ordinary Differential Equations and Physical Phenomena (TSE.M201-01) and Partial Differential Equations for Science and Engineering (TSE.M202-01) are recommended to take.
Prof. Shunji Iio : siio[at]nr.titech.ac.jp Assoc. Prof. Tatsuya Katabuchi : buchi[at]lane.iir.titech.ac.jp