Electrodynamics: Analysis of Electric Fields

所在平台: Coursera

课程主页: https://www.coursera.org/learn/electrodynamics-analysis-of-electric-fields

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课程简介

课程名称:电动力学:电场分析 课程概述:本课程是《电动力学:导论》的延续,主要涵盖不同的电场计算方法。同时,课程将介绍极化、介质及电场形成偶极子的原理。学习者将能够运用对称性和其他工具来计算电场,理解易感性、极化以及偶极子的概念。 此外,学生将学习如何可视化麦克斯韦方程,以便将所学的数学应用到热/质量扩散、介观电机械性能等领域,并创造出可能推动能源存储和收集创新的专利。该课程的教学方法补充了传统方法,全面覆盖电和磁的物理学,并融入费曼独特且重要的方法,以深入理解物理宇宙的图景。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、能源收集及其他材料相关领域的实际应用之间的联系。 课程大纲: 1. **各种情况下的电场** - 本模块初步聚焦于偶极矩的概念,包括单个分子和任意分布的偶极矩。推导偶极子的势能和电场方程,同时介绍镜像法及其在不同几何形状电场问题中的应用。 2. **各种情况下的电场(续)** - 讨论如何计算二维电场,并介绍一些静电学的基本应用,运用虚数绘制电场和等势面,探讨自然共振、势能分布和网格间距如何帮助现代设备和实验的设计。 3. **静电能** - 介绍静电能的重要性及其评估方法,探讨虚功原理如何用于求解力,特别是在电容器方面进行详细分析,讨论静电能的存放位置。 4. **介质导论** - 本模块探讨介质材料的构成以及其对电容器操作的影响,介绍介质的表征方法如易感性和位移,研究介质在电容器中的受力情况。 5. **介质(续)** - 讲解如何在电场下为分子获取极化,推导介电常数的计算方法,例如Clausius-Mossotti方程和Onsager方程,讨论铁电性及其通过居里-魏斯定律及其他方法的建模。 本课程将为学生提供电动力学的深刻理解以及其在各个科技领域的广泛应用,从而推动相关领域的研究和创新。

课程大纲

Name:The Electric Field in Various Circumstances

Description: The primary focus of the first portion of this module is the concept of dipole moments, both for a single molecule and an arbitrary distribution. The equations for both the potential and the electric field of a dipole are derived within the first part of the lecture. This lecture also describes the method of images and how it can be applied to solving the electric field from different geometries.

Name:The Electric Field in Various Circumstances (cont'd)

Description:In this module, we cover how to solve for 2D electric fields, and also introduce some basic applications for electrostatics. We describe how imaginary numbers can be used to plot the electric field and equipotential surfaces. Then, we discuss how concepts such as natural resonance, potential distribution, and grid spacing can help design modern devices and experiments.

Name:Electrostatic Energy

Description:This module introduces the importance of electrostatic energy and describes how to evaluate it. It also covers how to use the concept of virtual work and how that can be used to find force; specifically we examine this in respect to capacitors. Finally, we discuss where the electrostatic energy can be located.

Name:Introduction to Dielectrics

Description:In the first module concerning dielectrics, we discuss what constitutes a dielectric material and how their presence effects the operation of a capacitor. Then, we cover many ways to characterize a dielectric such as susceptibility and displacement. Finally, we investigate the forces on a dielectric with respect to the capacitor.

Name:Dielectrics (cont'd)

Description:This module starts by describing how to obtain polarization for molecules under an electric field. Then, we cover methods to solve for the dielectric constant, such as Clausius-Mossotti Equation and Onsager Equation. Our last topic covered is the concept of ferroelectricity and how ferroelectric materials can be modeled by the Curie-Weiss law and other methods.

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课程详情

This course is a continuation of Electrodynamics: An Introduction. Here, we will cover different methods of calculating an electric field. In addition, we will introduce polarization, dielectrics, and how electric fields create dipoles. Learners will • Be able to apply symmetry and other tools to calculate the electric field. • Understand what susceptibility, polarization, and dipoles are. Additionally, students will learn to visualize Maxwell equations in order to apply the derived mathematics to other fields, such as heat/mass diffusion and meso-scale electromechanical properties, and to create patents that could lead to potential innovations in energy storage and harvesting. 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.

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