ИЭ / 6 семестр (англ) / Лекции+экзамен / вопросы на экз 2022
.docxQuestions for exam on “Advanced chapters of theoretical electro-engineering”.
Electrostatic field. Coulomb’s law. Gauss law.
Poisson’s and Laplace’ s equations for the potential of electric field.
Electrostatic Energy.
Power and Joule’s Law.
Continuity Equation.
Electric field induced by the charged wire placed above the flat boundary between two different dielectrics.
Magnetic field induced by the wire with a current placed above the flat boundary between two media with different magnetic permeabilities.
Static magnetic field. Biot–Savart’s Law. Ampere’s Law.
Scalar magnetic potential. Laplace equation for the scalar magnetic potential.
Vector magnetic potential. Inductance.
Magnetic field intensity inside a cylindrical conductor
Internal inductance of a thin conductor.
Inductance of a two-wire transmission line
Variable separation method in a cylindrical coordinate system.
The Faraday’s Law
Induction through the motion of a conductor
Induction by simultaneous temporal change of B and motion of the conductor
Unipolar generator
Hering’s paradox
Diffusion of magnetic fields into conductors.
Periodic electromagnetic fields in conductors.
Poynting theorem.
Transmission of energy in 2-wire line loaded on a resistor.
Transmission of energy in 2-wire line loaded on a R-L-C circuit.
Energy flows in static electric and magnetic fields.
The reduced magnetic potential.
Classification of numerical methods of the electromagnetic field modeling.
Method of moments
Basic principles of the finite element method.
First order finite functions of the triangular element. Simplex coordinates. Approximation of functions by the first order finite functions.
Weighted residual method.
Week formulation of the electromagnetic field modeling problem.
Boundary conditions in electric and magnetic fields.
Main equations of electromagnetic field in integral form.
Main equations of electromagnetic field in differential form.
Electric field of a point charge.
Electric field of a uniformly charged sphere.
Flat capacitor. Field. Surface charge. Capacity.
Mutual inductance between a cylindrical coil with rectangular cross section and a wire passing along the axis of the coil.
Inductance of a cylindrical coil with the rectangular cross section.
Electric field induced by charged line placed above conducting surface.
Magnetic field induced by the line with a current placed above a ferromagnetic surface with infinitely high magnetic permeability.