**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

Textbook(s):

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**

**Experiment(s): **

**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;**

**Project(s):**

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.**