Exercises in Electricity and Magnetism 100 Examples and 400 Exercises

This book covers a great variety of problems on electricity and magnetism described in the textbook, "Electricity and Magnetism", in which superconductors are classified as one kind of magnetic materials. These problems will be helpful for a deeper understanding of the E-B analogy through a comparison between static electric and magnetic phenomena. Additionally, the usefulness of the vector potential is widely introduced. For example, the vector potential is directly used to determine the induced electromotive force.

The author provides various exercises that are not covered in the textbook. The Poynting vector is useful for understanding the energy flow into capacitors or transmission lines during a charging process or into resistors during a dissipation process. A comparison between normal conducting and superconducting transmission lines shows a clear difference in the energy flow, although the final stored magnetic energy is the same. The electromagnetic potential of electromagnetic transverse electric (TE) and transverse magnetic (TM) waves in a waveguide also presents an interesting difference: The electric potential is zero in one case and non-zero in the other case. The reason for such a difference is explored. The relationship between the electric charge and electric current induced on the conductor surface is investigated for an electromagnetic wave in a waveguide or for that reflected on a conductor surface.

This exercise book can be used together with the textbook 'Electricity and Magnetism' by the same author.

Electrostatic Field.- Conductors.- Conductor System in Vacuum.- Dielectric Materials.- Steady Current.- Current and Magnetic Flux Density.- Superconductors.- Current Systems.- Magnetic Materials.- Electromagnetic Induction.- Displacement Current and Maxwell’s Equations.- Electromagnetic Wave.

Prof. Dr. Teruo Matsushita has studied flux pinning and related electromagnetic phenomena in superconductors for 50 years. The first research field includes theoretical calculation of elementary pinning force of specific pinning centers and estimation of the pinning force density as a function of the elementary pinning force and number density. In the latter research field, he established the critical state theory that supports the well-known critical state model by using the first principles of minimizing the free energy in the reversible state followed by development to the irreversible state. The theoretical analyses of the longitudinal field problem and the effect of flux creep in high-temperature superconductors are also included in the latter category. He is a member of the Institute of Electrical Engineers of Japan, Cryogenics and Superconductivity of Japan, and Institute of Physics (UK).