Electromagnetism
Code
10519
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Física
Credits
6.0
Teacher in charge
António Carlos Simões Paiva
Weekly hours
9
Total hours
77
Teaching language
Português
Objectives
In this discipline electric and magnetic static fields, as well as their temporal variations are studied, whose phenomenology is summarized in the physical-mathematical formalism of Maxwell''''''''s equations. These equations will be studied in both differential and integral formalisms, and several applications to concrete engineering situations are illustrated.
The goal of this course is to teach thinking skills, qualitative and mathematically, that can be applied in different circumstances to the every day life and to enhance collaborative problem solving skills.
Prerequisites
Basic Calculus, Algebra and Mechanics.
Subject matter
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Introduction. |
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Coulomb''s law, superposition. Energy of charge distributions. |
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Electric field, electric flux, Gauss''s law. Energy density of the field. |
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Electric potential. Gradient. Gauss''s law revisited; divergence. |
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Poisson & Laplace equations. Curl. |
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Uniqueness theorem. Introduction to conductors. |
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Fields and potentials around conductors. Capacitance. |
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Resistance, Ohm''s law. |
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Current, continuity equation. |
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EMF, Circuits. Kirchhoff''s Rules. |
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Variable currents, RC circuits. |
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Magnetic force, magnetic field. |
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Ampere''s law. |
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Ampere''s law revisited. Vector potential. |
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Biot-Savart law. |
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Faraday''s law, Lenz''s Law. |
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Mutual and self inductance. Magnetic field energy. |
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RL circuits. Undriven RLC circuits; phasor representation. |
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Driven AC circuits: phasors, impedance. Power and energy. |
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AC circuits (conclusion). Filters; quality factor and resonance. |
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Equações de Maxwell |
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Displacement current, Maxwell''s equations. |
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Wave equation. Electromagnetic radiation. |
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Radiation continued; polarization. |
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Poynting vector: energy, power and momentum of radiation, transmission lines. |
Bibliography
Textbooks:
Halliday, Resnick and Walk, "Fundamentals of Physics”, 9th Ed, Wiley, 2011;
Grant and Phillips, "Electromagnetism (Manchester Physics Series)", 2nd ed, Wiley, 1990.
Teaching method
Lectures (2 x 1,5 h) with data-show.
Availability of the study material in the internet (Power Point) .
Problem solving classes (2h) with student participation.
Experimental classes in the laboratory with groups of two students per experimental work.
Each experimental class includes experimental procedure and production of a small data registration report.
The operating rules of the experimental classes are harmonized with those applied in Física III.