Faculdade de Ciências e Tecnologia

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

Introduction.

Coulomb''s law, superposition. Energy of charge distributions.

Electric field, electric flux, Gauss''s law. Energy density of the field.

Electric potential. Gradient. Gauss''s law revisited; divergence.

Poisson & Laplace equations. Curl.

Uniqueness theorem. Introduction to conductors.

Fields and potentials around conductors. Capacitance.

Resistance, Ohm''s law.

Current, continuity equation.

EMF, Circuits. Kirchhoff''s Rules.

Variable currents, RC circuits.

Magnetic force, magnetic field.

Ampere''s law.

Ampere''s law revisited. Vector potential.

Biot-Savart law.

Faraday''s law, Lenz''s Law.

Mutual and self inductance. Magnetic field energy.

RL circuits. Undriven RLC circuits; phasor representation.

Driven AC circuits: phasors, impedance. Power and energy.

AC circuits (conclusion). Filters; quality factor and resonance.

Equações de Maxwell

Displacement current, Maxwell''s equations.

Wave equation. Electromagnetic radiation.

Radiation continued; polarization.

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.

 

 

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