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所在平台: Coursera |
课程主页: https://www.coursera.org/learn/electrodynamics-solutions-maxwells-equations
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课程名称：电动力学：麦克斯韦方程的深入解决方案 概述：本课程是电动力学系列的第四门课程，紧接着《电动力学：电场与磁场》课程。在前面的学习中，我们了解了静态场的可视化以及其解决方案。本课程将回归麦克斯韦方程，利用这些方程生成波动方程，用于分析复杂系统，例如振荡偶极子。同时，我们还将介绍交流电路，探讨如何简化、解决和应用这些电路。 学习者将会： - 完全理解麦克斯韦方程及其与电势和磁势的关系。 - 能够解决与运动电荷相关的问题，并为方程添加相对论修正。 - 理解交流电路中的不同组件，以及它们的存在如何改变电路的功能。 本课程的教学方式与传统方法相辅相成，全面涵盖了电和磁的物理学，并融入费曼独特而重要的方法，以帮助理解物理宇宙的全貌。此外，本课程独特地提供了电动力学知识与其在材料科学、信息技术、电气工程、化学、化工、能源存储、能量收集等材料相关领域应用之间的联系。 课程大纲： 1. **感应定律**：介绍磁通、电动势和自感的概念，包括电动势的产生和应用，以及互感和自感的关系。 2. **麦克斯韦方程**：讨论麦克斯韦方程的更完整形式以及描述经典物理所需的所有方程，分析不受源头影响的传播场以及电势和磁势的波动方程。 3. **自由空间中的麦克斯韦方程**：深入探讨传播波及其在三维波动方程中的建模，区分球形场与一维场的传播方式。 4. **含电流和电荷的麦克斯韦方程**：探讨相对论和时间依赖的解决方案，如何对方程进行位置变化的修正，以及麦克斯韦方程如何导出洛伦兹变换。 5. **交流电路导论**：分析完整电路的基础，介绍阻抗的概念，以及解决和简化电路的技术。 6. **最终项目**：未提供详细说明。 本课程适合希望深入了解电动力学及其应用的学生。
Name:The Laws of Induction
Description:This lecture will cover the concept of flux, EMF, and inductance. We will start by describing how the EMF is produced, how it can affect other units, and its different applications. Then, the relationship between coils of wire is described using mutual inductance, and the effect of a wire on itself is discussed in terms of self-inductance.
Name:The Maxwell Equations
Description:In previous lectures, we have been working with a simple version of Maxwell’s 4th equation. In this lecture, we will discuss the more complete form, and all of the equations necessary to describe classical physics. Furthermore, we will start to analyze the concept of traveling fields, which propagate free from their source. Finally, we will present the wave equation for the magnetic and electric potentials.
Name:Maxwell's Equations in Free Space
Description:Continuing from the previous lecture, we will discuss traveling waves in greater detail. We will expand on the wave equation by showing how both Electric and Magnetic fields also can be modeled by the 3-D wave equation. Furthermore, we will distinguish between how spherical and one-dimensional fields travel.
Name:Maxwell's Equations with Currents and Charges
Description:In this lecture, we delve into deeply into relativistic and time-dependent solutions. To do this, we show how different equations can be corrected to account for position changes. We will expand on situations from previous lectures, and show how the equations modeling them will change if they are time-dependent. Finally we will discuss how Maxwell’s equations lead to the Lorentz transformation.
Name:Introduction to Alternating Circuits
Description:Throughout this course, we have mostly analyzed charges or independent units of circuits. In this lecture, we will discuss the basics of analyzing full circuits, which assuming most situations are ideal. To do this, the concept of impedance will be introduced, along with techniques to solve and simplify an entire circuit.
Name:Final Project
Description:
This course is the fourth course in the Electrodynamics series, and is directly proceeded by Electrodynamics: Electric and Magnetic Fields. Previously, we have learned about visualization of fields and solutions which were not time dependent. Here, we will return to Maxwell's Equations and use them to produce wave equations which can be used to analyze complex systems, such as oscillating dipoles. We will also introduce AC circuits, and how they can be simplified, solved, and applied. Learners will: • Have a complete understanding of Maxwell's Equations and how they relate to the magnetic and electric potentials. • Be able to solve problems related to moving charges, and add relativistic corrections to the equations • Understand the different components in AC circuits, and how their presence can change the function of the circuit. The approach taken in this course complements traditional approaches, covering a fairly complete treatment of the physics of electricity and magnetism, and adds Feynman’s unique and vital approach to grasping a picture of the physical universe. Furthermore, this course uniquely provides the link between the knowledge of electrodynamics and its practical applications to research in materials science, information technology, electrical engineering, chemistry, chemical engineering, energy storage, energy harvesting, and other materials related fields.
