EI1220 Electromagnetic Theory E
KTH Royal Institute of Technology
Knowledge in algebra and geometry, 7.5 higher education credits, equivalent to completed course SF1624.
Knowledge in one variable calculus, 7.5 higher education credits, equivalent to completed course SF1625.
Knowledge in multivariable analysis, 7.5 higher education credits, equivalent to completed course SF1626.
Knowledge in electrical circuit analysis, 9 higher education credits, equivalent completed course EI1110 or knowledge in basic electromagnetism, 7.5 higher education credits, equivalent completed course SK1115.
Knowledge in vector calculus equivalent to active participation in ED1110/SI1146.
Active participation in a course offering where the final examination is not yet reported in LADOK is considered equivalent to completion of the course.
Registering for a course is counted as active participation.
The term 'final examination' encompasses both the regular examination and the first re-examination.
Electrostatics:
- Coulomb's law; the electric field E; charge distributions; Gauss law, where fields are defined based on their force, calculate fields from given charge distriubutions
- the scalar potential; electrostatic energy; conductors; capacitance,
- method of images, for boundary value problems;
- the electric dipole; polarisation; bound charges; The D-field; dielectrics; permittivity, the interaction of the electric field with material;
- current density; conductivity; resistance; Joule's law.
Magnetostatics and induction:
- Biot-Savart's law; the magnetic field B; the continuity equation; Ampère's law; the vector potential, the B-field defined from its force; calculate magnetic fields from a given stationary current density;
- the magnetic dipole; magnetisation; bound current density; The H-field; permeability; magnetic field interaction with materials;
- electromotive force; the induction law; inductance; magnetic energy.
Electrodynamics:
- Maxwell's equations; the Poynting theorem for energy transport;
- the wave equation; plane waves; complex fields; plane waves in materials; reflection and transmission, normal incidence against dielectrics and oblique incidence against metal;
- the electric and magnetic elementary dipole antennas.
After the course, the student shall from a description of an electromagnetic problem be able to
- solve electrostatic problems by choosing correct method, analyse the problem with correctly applied theory and mathematical tools (vector algebra, integral calculus, approximations), to obtain and present correct results, and evaluate the plausability of the results.
- solve magnetostatic problems and induction problems by choosing correct method, analyse the problem with correctly applied theory and mathematical tools (vector algebra, integral calculus, approximations), to obtain and present correct results, and evaluate the plausability of the results.
- solve electrodynamic problems by choosing correct method analyse the problem with correctly applied theory and mathematical tools (vector algebra, integral calculus, approximations, the complex method), to obtain and present correct results, and evaluate the plausability of the results.
Note that ’solve problems’ in all three intended learning outcomes above means also that based on an appropriate part of Maxwell's equations by means of vector calculus, integral calculus and differential calculus be able to show how known expressions in the electromagnetism are related to one another. For example, Gauss law on integral form should be able to be derived based on the differential equation.
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