The course teaches the basics of static electric and magnetic fields in vacuum, starting with Coulomb’s force law for charges.
Electromagnetism is important for understanding nature, and is essential for the study of science, engineering, life sciences, and other specialized courses. Students will understand how electric and magnetic fields are produced by charges and current, respectively, and their mathematical descriptions. This will allow them to understand static electromagnetic phenomena as well as allow them to solve basic problems in electromagnetism.
By completing this course, students will be able to:
1) Understand the concepts of electric field, electric potential, electrostatic energy, magnetic flux density, magnetic moment, etc., correctly, and describe them mathematically.
2) Understand Gauss's law for electric fields and the Biot-Savart law for magnetic fields correctly, and find the electric field and magnetic flux density by applying said laws.
3) Find mathematical solutions to problems in electromagnetism expressed by the appropriate equations, and explain the physical meaning of said solutions.
Coulomb’s law, electric field, Gauss's law, electric potential, conductor, condenser, capacitance, electrostatic energy, electric current, magnetic force, magnetic flux density, magnetic moment, Biot-Savart law
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
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|
|Class 1||Coulomb’s law (principle of conservation of charge, force between charges, introduction of electric field)||Explain the concepts of charge, electric field, and their relationship.|
|Class 2||Electric field and Gauss's law (calculation of electric field, derivation of Gauss's law)||Explain Gauss's law for calculating electric fields.|
|Class 3||Application of Gauss's law (calculation of electric field using Gauss's law)||Show examples of the application of Gauss's law.|
|Class 4||Electric potential (introduction and calculation of electric potential, relation between electric potential and electric field)||Explain the concept of the electric potential and its relationship with the electric field.|
|Class 5||Conductor (electric fields around conductor, electric shielding)||Explain electric potential and electric field in a conductor in an equilibrium state.|
|Class 6||Condenser and electrostatic energy (capacitance, energy stored in the electric field)||Explain the energy stored in an electric field between two plates of a parallel-plate capacitor.|
|Class 7||Electric current and magnetic force between currents (electric current density, magnetic flux density, magnetic moment)||Explain the force between two parallel wires carrying current.|
|Class 8||Biot-Savart law (calculation of magnetic flux density using Biot-Savart law)||Explain Biot-Savart law.|
Bihukan "Kiso Butsurigakukatei Nyumon Course - Electromagnetism" by Hidekazu Tanaka (in Japanese)
Distributed at OCW as needed.
Learning achievement is evaluated by a final exam.