In vector calculus, a vector potential is a vector field whose curl is a given vector field. This is analogous to a scalar potential, which is a scalar field whose gradient is a given vector field. Formally, given a vector field v, a vector potential is a vector field A such that (Wikipedia).
11_7_1 Potential Function of a Vector Field Part 1
The gradient of a function is a vector. n-Dimensional space can be filled up with countless vectors as values as inserted into a gradient function. This is then referred to as a vector field. Some vector fields have potential functions. In this video we start to look at how to calculat
From playlist Advanced Calculus / Multivariable Calculus
Mod-03 Lec-25 Magnetic Vector Potential
Electromagnetic Theory by Prof. D.K. Ghosh,Department of Physics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Electromagnetic Theory
11_7_3 Potential Function of a Vector Field Part 3
In this video I calculate the potential function of a vector field. This problem is more complicated as the integral of the differential of the partial derivative contains the function g, which is a function of both y and z.
From playlist Advanced Calculus / Multivariable Calculus
Introduction to Vector Fields This video discusses, 1) The definition of a vector field. 2) Examples of vector fields including the gradient, and various velocity fields. 3) The definition of a conservative vector field. 4) The definition of a potential function. 5) Test for conservative
From playlist Calculus 3
19: Vector Fields - Valuable Vector Calculus
Visualizing and graphing vector fields to understand vector-valued functions. The gradient is an example! Full Valuable Vector Calculus playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJHgsWPng59fFFoqn183aO-1 New math videos every Monday and Friday. Subscribe to make sure you s
From playlist Valuable Vector Calculus
Multivariable Calculus | The notion of a vector and its length.
We define the notion of a vector as it relates to multivariable calculus and define its length. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
Vector Calculus 1: What Is a Vector?
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Vector Calculus
Intro to VECTOR FIELDS // Sketching by hand & with computers
Vector Fields are extremely important in math, physics, engineering, and many other fields. Gravitational fields, electric fields, magnetic fields, velocity fields, these are all examples of vector fields. In this video we will define the concept of a vector field, talk about some basic te
Worldwide Calculus: Conservative Vector Fields
Lecture on 'Conservative Vector Fields' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Integration and Vector Fields
Field Equations - Potential Formulation of electric field
In this lesson we complete our detailed justification for the potential formulation of the electric and magnetic field, focusing on the scalar potential. The last lesson ended abruptly and this lesson completes the topic. In our next lesson we convert Maxwell's equations from the electric/
From playlist QED- Prerequisite Topics
Mod-02 Lec-08 Electric Field and Potential
Electromagnetic Theory by Prof. D.K. Ghosh,Department of Physics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Electromagnetic Theory
Are all vector fields the gradient of a potential? ... and the Helmholtz Decomposition
This video asks a classic question: are all vector fields the gradient of a potential field? The answer is no, but by understanding why, we prepare ourselves for potential flows in the next videos. @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %%% 0:00 Introducti
From playlist Engineering Math: Vector Calculus and Partial Differential Equations
Potential Flow Part 2: Details and Examples
This video gives more examples of potential flows and how they establish idealized fluid flows. They are found by solving Laplace's equation, which is one of the most important PDEs in all of mathematical physics. @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %
From playlist Engineering Math: Vector Calculus and Partial Differential Equations
ME564 Lecture 27: Potential flow, stream functions, and examples
ME564 Lecture 27 Potential flow, stream functions, and examples Potential flow and Laplace's equation Notes: http://faculty.washington.edu/sbrunton/me564/pdf/L27.pdf Course Website: http://faculty.washington.edu/sbrunton/me564/ http://faculty.washington.edu/sbrunton/
From playlist Engineering Mathematics (UW ME564 and ME565)
QED Prerequisites: The basics of gauge transformations
In this lesson we study the basic ideas behind gauge transformation in classical electromagnetic theory. We convert Maxwell's equations into their potential-based form and then discuss why we can "choose a gauge" to simplify the resulting equations. We introduce the elementary ontology use
From playlist QED- Prerequisite Topics
This physics video tutorial explains the concept of electric potential created by point charges and potential difference also known as voltage. It covers the relationship between charge, electric potential, voltage, electric potential energy, work, and kinetic energy. It contains plenty
From playlist New Physics Video Playlist
Unified Charge Vectors (UCV Theory) by Noam Why. Grand unification of electroweak and strong forces.
A new breakthrough in theoretical physics! UCV theory is a grand unification of electroweak and strong forces based on a new idea called Unified Charge Vectors. The theory was developed by Noam Why and was first published in January 2021. Original paper: https://independent.academia.edu/W
From playlist Summer of Math Exposition Youtube Videos
An attempt at illustrating the Aharonov-Bohm effect
This is a first attempt at illustrating the Aharonov-Bohm effect, which is a non-local effect in quantum mechanics. In classical electrodynamics, the physically relevant quantities are the electric and magnetic fields. They can be expressed in terms of a scalar and a vector potential, but
From playlist Schrödinger's equation