There are other slides on different topics at that account of mine on (such as Introduction to Quantum Mechanics, and these are quite well received by the community for their usefulness).
In the meanwhile if you can’t wait and you need some of these concepts at the earliest, here is a slide-share presentation I had made roughly 5 years ago that consists of “some of the things” an undergrad needs: Electricity and Magnetism slides. This lecture was delivered to honors students on 9th Feb 2017. eg the current lecture will be named EML – 4.
#Line integral workdone series#
This series is on Electricity and Magnetism and bears the name sake Electricity and Magnetism Lectures and the number of the lecture will be appended to the end to reflect the same.
#Line integral workdone full#
This article belongs to a group of lectures I intend to prepare for their online dissemination - these were delivered in a physical format, beginning with hand written notes that were delivered in a classroom full of students. Its the conservative nature of electrostatic field which leads to the most important concept of the electrostatic potential (and electrostatic potential energy) which we will also discuss in this lecture. Anyone who is comfortable with the advance nature of those lectures is welcome to lay his/her sight on them after reading this basic discourse. Here are two lectures that covers the theorem in good detail ETL-3 and ETL-4 (albeit technical language can often not be traded with lucid discourse, at-least in its first attempt). The Helmholtz theorems are a great framework of almost all of Electrodynamics and sooner or later a serious student of Physics must master them. This is intimately connected with the concept of the Helmholtz theorem which has been discussed on this website (linked below), in an advance course called Electromagnetic Theory, suitable for the senior Honors student. Today we will discuss the conservative nature of the static electric field - the time varying fields are not amenable to this conservative nature as we would learn in an advance discourse. in the case of a spherical shell with uniform charge and a non-conducting spherical solid with uniform charge in its entire body.
#Line integral workdone how to#
In the 3rd one (and EM元) we discussed how to do the same if spherical symmetry is present e.g. In the second one ( EML2) we discussed how to apply Gauss Law to find the electric field if cylindrical or planar symmetries are present in the problem, we solved the case of an infinitely long uniformly charged rod and an infinitely large non-conducting sheet of uniform charge. In our first lecture in this series which can be found here EML1, we laid a good foundation about the concepts of electric field, lines of force, flux and Gauss Law. Conservative Nature of the Electrostatic Field and Electrostatic Potential Lecture – 4. Click on link to left or search for menu “E AND M BASICS” on top. \vec\).Lectures on Electricity and Magnetism - new series of lectures – EML – 4.Īll articles in this series will be found here. Suppose we have a smooth curve \(C\) in the plane, and it is given by the vector equation in parameterized form: Let’s shed some more light on this… w/ Two Functions But instead of being limited to an interval,, along the x-axis, we can explain more general curves along any path in the plane.īy “straightening” out the path using parameterization and arc length. Interestingly, a line integral can help us map out where we benefited from the wind or the current and where those same forces hindered our progress.Ī line integral, called a curve integral or a path integral, is a generalized form of the basic integral we remember from calculus 1. The path of the wind or the flow of the current might make it easier in one direction than the other, right? To illustrate the idea, think about how it feels to run on a track on a windy day or to row a boat across a lake with a noticeable current? Jenn, Founder Calcworkshop ®, 15+ Years Experience (Licensed & Certified Teacher)
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