Applied Electromagnetism SK2310

Course format
Lectures: 26 h
Calculation exercises: 14h

Goals:

After the course, the student will:

• be able to describe the relation between electromagnetic fields and their sources (distributions of charge and current)
• understand how isotropic materials affect the field distribution
• know Maxwell's equations (on differential and integral form) and how to use them
• be able to choose adequate models and methods of solution for a specific problem
• have good ability to solve problems analytically and numerically.

Course contents

Electrostatics: Coulomb's law. Electric lines of force. Evaluation of electric field and potential in vacuum and with conducting and dielectric materials. Capacitors. Energy and force in electrostatic systems. Conductors and semiconductors.

Magnetostatics: Static magnetic fields. Biot-Savart's and Ampere's laws. Fields in magnetic materials. Magnetic circuits and reluctance.

Electromagnetic induction. Faraday's law. Mutual and self-induction. Energy and forces in static and quasi-stationary fields. Maxwell's equations. Conservation laws.

Prerequisites

Vector analysis, Fourier and Laplace analysis

Course schedule

Course schedule

Examination

The examination consists of a written exam.

Literature

Griffiths: Introduction to Electrodynamics, 3:rd edition, Prentice Hall, ISBN 0-13-805326-x

Preliminary lecture schedule

Lecture	Contents	Study material (book chapter)
1	Coulomb’s law E-field from charge distributions	2.1
2	Gauss law on integral an differential form	2.2
3	Electric potential Poisson’s and Laplace’s laws Charge layers Work and energy in electrostatics	2.3, 2.4
4	Conductors and isolators Capacitors	2.5
5	Image methods Multipole expansion	3.2; 3.4
6	Electric polarization E, P and D fields	4.1-4.4
7	Magnetic force, magnetic dipoles ad torques upon them Biot-Savart law Ampere’s law	5.1;5.3
8	Ideal and nonideal conductors and isolators. Currents and currents density Charge continuity equation Induction. Faraday Law Maxwell Equations	7.1;7.2.1-7.2.3 7.3.1-7.3.3
9	Sources of the magnetic field Inductance	5.2, 5.3 7.2.3
10	Magnetization, B, M and H fields. Magnetic circuits	6.1-6.4 Hand out (pdf 62 kB)
11	Conservation laws. Electromagnetic Waves	8 9.1-9.2
12	Electromagnetic Waves in matter	9.3-9.4

Calculation Exercises

Tasks (pdf 628 kB)

Lecturer and Examiner

Carlota Canalias, Laser Physics, AlbaNova, (rum A3: 1059). cc(at)laserphysics.kth.se; tel 55378159

Exercise Assistant

Gustav Lindgren,  gl(at)laserphysics.kth.se;  tel 5537 8812