Learning Outcomes
Following course completion, the students will be capable of comprehend and get familiar with the physical quantities, properties and methods of the electrostatic field, the steady state current flow field, the magnetostatic field as well as the behavior of materials in their presence, based on the macroscopic model of classical electromagnetism.
More specifically, the students will acquire the following skills:
- To understand the physical meaning of various physical quantities and concepts in various practical and applied problems of electrostatic and magnetostatic fields, the steady state current flow fields and describe the form of fields, charges and currents in respective systems.
- To perform simple calculations of the electrostatic and magnetostatic fields in simple, model components consisting of conductors and dielectrics, thus approximating more complex problems of current technological practice.
- To perform energy and power calculations in simple structures and components under the influence of electrostatic and magnetostatic fields.
- To use specialized electromagnetic analysis software for static fields to model complex devices and components.
Course Content (Syllabus)
Nature of electrostatic field: Charges and charge density distributions. Electric field intensity, electric scalar potential, dielectric displacement, electric flux. Fundamental laws of electrostatic field. Poisson and Laplace equations. Boundary conditions on interfaces.
Dielectric media: Electric dipole. Dielectric polarisation. Polarisation charges. Forces on dielectric materials.
Perfect conductors: Conducting bodies. Cavities in conducting bodies. Green's reciprocity theorem. Capacitors, capacitance, partial capacitances.
Energy and forces: Electrostatic energy. Forces on systems of conductors. Charged particles moving in electrostatic field.
Analytical methods: Uniqueness theorem. Method of electric images. Separation of variables method. Other methods.
Nature of current flow field: Intensity and density of electric current. Continuity equation. Boundary conditions. Electromotive force. Resistance. Ohm's law. Kirchhoff's laws. Resistance of a conductor of variable cross-section. Lossy capacitor. Energy. Joule's law. Theorem of minimum thermal losses. Power density. Grounded electrodes: spherical, hemispherical, prolate spheroidal, rod.
Nature of magnetostatic field: Magnetic induction and flux. Biot-Savart law. Magnetic field intensity. Ampere's law. Scalar and vector magnetic potential. Poisson's vector equation. Magnetic moment. Magnetic flux and linkage. Solenoid. Self-inductance. Forces on current carrying conductors. Torque. Hall effect. Boundary conditions on interfaces.
Keywords
Electromagnetism, Electrostatic field, Magnetostatic field, Theoretical electrotechnics
Course Bibliography (Eudoxus)
1. Θ. Δ. Τσιμπούκης, Ηλεκτρομαγνητικό Πεδίο (ενιαίος τόμος), Ίδρυμα Τεχνολογίας και Έρευνας - Πανεπιστημιακές Εκδόσεις Κρήτης, Ηράκλειο, 2014 (ISBN: 978-960-524-324-1).
2. Ι. Ρουμελιώτης και Ι. Τσαλαμέγκας, Ηλεκτρομαγνητικά Πεδία, Τόμος Β, Εκδόσεις Α. Τζιόλα & Υιοί Α.Ε., Θεσσαλονίκη, 2010 (ISBN: 978-960-418-292-3).
3. D. J. Griffiths, Εισαγωγή στην Ηλεκτροδυναμική (ενιαίος τόμος), Ίδρυμα Τεχνολογίας και Έρευνας - Πανεπιστημιακές Εκδόσεις Κρήτης, Ηράκλειο, 2012 (ISBN: 978-960-524-381-4).
4. J. Kraus, Ηλεκτρομαγνητισμός, 5η εκδοση, Εκδόσεις Α. Τζιόλα & Υιοί Α.Ε., Θεσσαλονίκη, 2011 (ISBN:978-960-418-334-0).
5. Ι. Λ. Βομβορίδης, Ηλεκτρομαγνητικά Πεδία, Μέρος Β, 2η έκδοση, Εκδότης: Καλαμαρά Έλλη, Αθήνα, 2012 (ISBN: 978-960-7888-93-8).
Additional bibliography for study
1. J. G. Van Bladel, Electromagnetic Fields, 2nd edition, Wiley-IEEE Press, 2007.
2. R. E. Collin, Field Theory of Guided Waves, 2nd edition, Wiley-IEEE Press, 1990.
3. J. R. Jackson, Classical Electrodynamics, 3rd edition, Wiley, 1998.