20220353 (Fundamentals of Electromagnetic Field)

Course Name: Fundamentals of Electromagnetic Field

Course Number: 20220353

Program: Undergraduate program

Type: Required

Credits: 3

Term Offered: Autumn semester

Prerequisite(s): Physics, Linear Algebra, Differential Equations

Instructor(s): Jun Zou, Jiansheng Yuan


Xinshan Ma, Jishi Zhang and Ping Wang, Fundamentals of Electromagnetic Field, Tsinghua University Press, 1995(1st edition). (in Chinese)

Course Description:

Students, who major in Electrical Engineering in Tsinghua University, should have a strong background in electromagnetic field. As a prerequisite course to study further curriculum, such as High voltage engineering, Electric Machine and Power system, students should have a fundamental understanding of static, quasistatic and dynamic solutions to Maxwell’s equations, properties of media, wave propagation, forces, energy and coupling mechanism to other structures.


Course Objectives and Outcomes:

Numbers in brackets are linked to department educational outcomes

1.Students should have a theory framework of electromagnetic field. [1, 10]

2.Students are familiar with a certain number of methods for solving the boundary value problem in different fields. [5, 11]

3.Students should have a basic understanding of wave propagation, which could be the base to further study in the graduate period.[9]

Course Topics:

1.Introduction to electromagnetic field.

2.Mathematic background of vector and scalar field theory, a review of the concept of curl, divergence and gradient.

3.Introduction of electrostatic field, electric intensity

4.Curl and divergence property of electrostatic field

5.Boundary Value Problem in electrostatic field and the uniqueness theorem

6.Numerical method of solving Possion’s equation – finite difference method(FDM)

7.Image method in electrostatic field

8.Capacitance and its calculation

9.Energy and Force in electrostatic field

10.Introduction to direct current field in a conductor

11.Governing equation in direct current field and the interface condition between two media

12.Conductance and ground resistance

13.Introduction of magnetostatic field

14.Governing equation in magnetostatic field and the interface condition

15.Magnetic vector potential and the boundary value problem in magnetostatic field

16.Image theory in magnetostatic field

17.Inductance and its calculation

18.Energy and Force in magnetostatic field

19.Introduction of time-varying electromagnetic field

20.Maxwell equations and the potentials in time-varying electromagnetic field

21.Poynting vector

22.Wave Propagation, radiation and Antennas

23.Quasistatic field, basic concepts for eddy current, skin effect


1.  Measurement of the partial capacities for a multi-conductor system;

2.  Drawing a current distribution of a L-shaped thin conductive plate;

3.  Measurement of the inductance of a solenoid coil;


l  Drawing the electric intensity line distribution in a 2D plane.

 The purpose of this project is trying to establish a vivid picture of field in a 2D plane. The students are required to draw the electric intensity line distribution of two line charges with the infinite length by using Euler method.

l  Solve the current field by using PDETool in Matlab

 This project will ask students to adopt the PDETool in Matlab, which is finite element method based solver, to solve a boundary value problem in a direct current field.

l  Design a coil system by using a fixed length copper wire to construct a uniform magnetostatic field

 This is an engineering oriented project, whose aim is to design a coil system by using a fixed length copper wire to construct a uniform magnetostatic field. This is a very typical optimization problem, which can bridge the knowledge of magnetostatic field and some mathematic optimization method.

Course Assessment:

  Homework measures, 10 points.

  Simulation project measures, 15 points.

  Experiment measures, 5 points.

  Mid-term exam score, 20 points.

  Final exam score, 50 points.