Electricity and Magnetism
本课程系统讲授静电场、稳恒电流、静磁场、电磁感应、麦克斯韦方程组和电磁波等内容。课程从库仑定律和毕奥-萨伐尔定律出发，逐步建立电磁场的基本理论体系，最终导出麦克斯韦方程组。学生将掌握矢量分析、场论等数学工具，理解电磁场的物质性和统一性，为电动力学等后续课程奠定基础。
This course systematically covers electrostatic fields, steady currents, magnetostatic fields, electromagnetic induction, Maxwell's equations, and electromagnetic waves. Starting from Coulomb's law and the Biot-Savart law, the course gradually builds the basic theoretical system of electromagnetic fields, ultimately deriving Maxwell's equations. Students will master mathematical tools such as vector analysis and field theory, understand the material nature and unity of electromagnetic fields, laying the foundation for subsequent courses like electrodynamics.
使用有限差分法求解二维泊松方程，模拟平行板电容器边缘效应或同轴电缆内的电势分布。要求实现超松弛迭代法加速收敛，绘制等势线和电场强度分布图。学生需分析不同网格精度对结果的影响，与解析解进行误差比较，并研究边界条件变化对电场分布的影响，提交完整的数值计算代码和报告。
Solve the two-dimensional Poisson equation using the finite difference method to simulate edge effects of parallel plate capacitors or potential distribution in coaxial cables. Required to implement successive over-relaxation for convergence acceleration, plotting equipotential lines and electric field intensity distributions. Students analyze the effect of different grid resolutions on results, compare errors with analytical solutions, study how boundary condition changes affect electric field distribution, and submit complete numerical code and report.