FYSA2010 Electromagnetism (5 cr)

• repetition of the fundamentals of electrostatics and electromagnetism (electric and magnetic fields, associated potentials, Lorentz force and electromagnetic induction)

• Poisson's and Laplace's equations, uniqueness theorem

• Hall effect

• the integral and differential presentations of Maxwell's equations

• the boundary conditions of the electromagnetic fields

• electric and magnetic dipole, polarisation, magnetization

• the energy of the electromagnetic field and Poynting's vector

• Lorentz transformation and the relativistic calculation on electromagnetic fields

• the generation and transfer of electromagnetic radiation

• computer simulations of electromagnetic phenomena   

After passing the course, the student

• knows the common electromagnetic problems and can select appropriate methods to solve them

• knows the potential presentation of electromagnetic fields and can find electric potential usind the Laplace and Poisson equations

• can describe in the microscopic level of matter, how dielectic material is polarized, and describe polarization mathematically using (bound) polarisation charges

• can describe in the microscopic level of matter, how materials are magnetized, and describe magnetization mathematically using (bound) magnetization currents

• knows the boundary conditions of the electromagnetic fields on the interface of materials and can calculate the change of the fields in common cases

• can justify Faraday's induction law and can calculate the induced electromotive force in common cases

• can derive the Maxwell's differential equations from the experimental laws using the appropriate mathematical methods, and further derive the electromagnetic wave equation from Maxwell's equations

• knows the Poynting's theorem and how it is related to the conservation laws of the electromagnetic fields

• can calculate the Poynting's vector and knows how it is related to the transfer of electromagnetic energy

• masters mathematically the Lorentz transformation of electric and magnetic fields

• knows the generation mechanism of electromagnetic radiation: the field of altering electric dipole and the radiation of accelerating charges

• can use the numeric simulation codes to solve electromagnetic problems 

• FYSP1040 Sähköopin perusteet

• FYSP1050 Sähkömagnetismin perusteet,

• MATP211-213 Calculus 1-3

• MATA181-182 Vektoricalculus 1-2

• MATA114 Differentiaaliyhtälöt