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Introduction to Electromagnetic Fields

Elektromágneses terek alapjai
A tantárgyleírás hatályossága
Hatályosság kezdete:
2026. March 21.
Hatályosság vége:
Subject name (Hungarian, English)
Elektromágneses terek alapjai
Introduction to Electromagnetic Fields
Subject code BMEVIHVAC03
Subject type
Training Level
Course types and hours (weekly/semester)
Course type lecture tutorial laboratory
hours (weekly) 2 1 0
type (linked/independent) derived course
Assessment type vizsga
Credits 4
Subject coordinator
DR. Gyimóthy Szabolcs
position: egyetemi tanár
Responsible department
Szélessávú Hírközlés és Villamosságtan Tanszék
Faculty Villamosmérnöki és Informatikai Kar
Subject website http://hvt.bme.hu/index.php/oktatas/bsc/elektromagneses-terek-alapjai-bmevihvac03
Primary curriculum type
Direct prerequisites – Strong prerequisite none
Direct prerequisites – Weak prerequisite none
Direct prerequisites – Parallel prerequisite none
Direct prerequisites – Milestone prerequisite none
Direct prerequisites – Exclusion none

Objectives

Programme

Part I. Fundamental laws

  • Measurable global quantities of electromagnetism
  • Scalar and vector fields of electromagnetism
  • The system of Maxwell's equations
  • Electromagnetic fields in materials
  • Interface conditions
  • Energy balance of the electromagnetic field
  • Forces in the electromagnetic field
  • Uniqueness of the solution of Maxwell's equations
  • Classification of problems

Part II. Static fields

  • Scalar potential and Laplace-Poisson equation of electrostatics
  • Electrodes, capacitances
  • Field of the electric dipole
  • Method of images
  • The finite difference method
  • Current flow problems and the electrostatics analogy
  • Grounding, step voltage
  • Static magnetic fields, Biot-Savart law
  • Self and mutual inductance
  • Induction phenomena
  • Lumped circuits

Part III. Transmission lines

  • Telegraph equations
  • Helmholtz-equation and its general solution
  • Voltage and current distribution for specific loads (matched load, open end, etc.)
  • Standing waves, transmission line as resonant circuit
  • Circuit equivalents of the transmission line
Part IV. Wave phenomena
  • Wave equations (homogeneous and inhomogeneous)
  • Helmholtz equation for plane waves, the transmission line analogy
  • Reflection and refraction, polarised waves
  • Plane waves in ideal dielectrics
  • Plane waves in conductors, the skin effect
  • Elementary electric dipole antenna
  • Rectangular waveguides
The course teaches the fundamentals of classical electrodynamics in an engineering approach. Besides the main principles, the most important fields of engineering applications as well as some analysis methods are discussed. The lectures are complemented with classroom practices.

Learning outcomes

Ez a tantárgy a KKK rendeletben meghatározott, következő kompetenciák fejlesztését szolgálja:

Knowledge

No learning outcomes recorded.

Skills

No learning outcomes recorded.

Attitudes

No learning outcomes recorded.

Autonomy and responsibility

No learning outcomes recorded.

Oktatási módszertan

14 weeks of classes: 28 hours of lectures, 14 hours of classroom practices.

Tanulástámogató anyagok

Online források
K. Simonyi, Foundations of Electrical Engineering, Pergamon, 1963.; D.K. Cheng, Field and Wave Electromagnetics, Addison-Wesley, 1989.; L. Solymar, Lectures on Electromagnetic Theory: A Short Course for Engineers, Oxford University Press, 1976.; J.D. Jackson, Classical Electrodynamics, Wiley, 1999.

Recommended preliminary knowledge for completing the subject

Knowledge type competencies
(azon előzetes ismeretek összessége, amelyek megléte nem kötelező, de a tantárgy eredményes teljesítését nagyban elősegíti)
Mathematics: linear algebra, matrix calculus, complex algebra, differential and integral calculus, differential equations, vector calculus. Signals and systems: circuit theory, two-ports, frequency domain analysis.
Skill type competencies
(azon előzetes képességek és készségek összessége, amelyek megléte nem kötelező, de a tantárgy eredményes teljesítését nagyban elősegíti)
nincs
Recommended (non-compulsory) preliminary competencies
(azon ajánlott (nem kötelező) előzetesen megszerzendő kompetenciák összessége, amelyek jelentősen hozzájárulnak a tantárgy eredményes teljesítéséhez)
Mathematics: linear algebra, matrix calculus, complex algebra, differential and integral calculus, differential equations, vector calculus. Signals and systems: circuit theory, two-ports, frequency domain analysis.
General rules
Requirements: During the teaching period: one midterm. During the exam period: oral exam Pre-exam: not available Additional possibilities: The midterm can be repeated once.
Assessment methods
In-term assessments

No detailed assessments provided.

Weight of in-term assessments

No weights provided.

Exam-period assessments

No detailed assessments provided.

Weight of exam elements

No weights provided.

Grade calculation

No grade thresholds provided.

Attendance requirements

No attendance requirements provided.

Rules for retake and resubmission

Not provided.

Short description

Not provided.

Detailed description

Not provided.

Recommended courses

Not provided.

Workload to complete the subject

No workload breakdown provided.

Validity of subject requirements
Requirements valid from:
Requirements valid until:
Curriculum placement

No curriculum placements recorded for this subject version.