Boundary condition for magnetic vector potential - Physics Forums
WEBMay 14, 2011 · Yes, there are simplified or approximate boundary conditions for magnetic vector potential that are often used in practical applications. These include the perfect magnetic conductor (PMC) and the perfect electric conductor (PEC) conditions, which assume that the magnetic and electric fields are completely reflected at the interface …
Is the Vector Potential of a Toroid Nonzero Outside the Toroid?
WEBApr 22, 2018 · A Math. Gen. 26 (1993) 731-742).In summary, the vector potential of a toroid is not necessarily zero, even though its magnetic field is. This is because of the non-zero current flow along the minor loops. There is no gauge transformation that can remove the vector potential everywhere, and this is demonstrated by the Aharonov-Bohm effect.
Introduction to Electric Vector Potential and Its Applications
WEBOct 9, 2020 · The vector potential can serve as a means of identifying the ## \bf E_m ## part of any static or quasi-static mixed E field at any observation point. By doing so it ipso facto identifies both the irrotational and non-conservative components at that point. In fact, a good name for the electric vector potential is “## E_m ## detector.”
Vector potential of a current carrying circular loop - Physics Forums
WEBJul 21, 2014 · The vector potential for a current carrying circular loop is a mathematical quantity that represents the magnetic field generated by the loop. It is defined as the curl of the magnetic vector potential, which is a vector field that describes the strength and direction of the magnetic field at any given point in space. 2.
Magnetic vector potential of infinite wire - Physics Forums
WEBMay 1, 2006 · The magnetic vector potential is a mathematical vector field that describes the magnetic influence of a wire. In the case of an infinite wire, the magnetic vector potential is given by: A = μ 0 I/2πr. where μ 0 is the permeability of free space, I is the current in the wire, and r is the distance from the wire. 2.
Vector potential of an infinitely long cylinder - Physics Forums
WEBMay 12, 2018 · The vector potential of an infinitely long cylinder is a mathematical concept used in electromagnetism to describe the magnetic field produced by a cylindrical current-carrying wire. It is a vector quantity that represents the potential energy of a magnetic field at a given point in space. 2.
Vector potential in cylindrical coordinates - Physics Forums
WEBMay 25, 2007 · The vector potential in cylindrical coordinates can be calculated using the Biot-Savart law, which relates the magnetic field to the current distribution through an integral. It can also be calculated using the gradient of the magnetic scalar potential, which is defined as the negative of the vector potential. 3.
How to Calculate Vector Potential and Magnetic ... - Physics Forums
WEBshehab. Nov 17, 2007. Loop Potential Square Vector Vector potential. In summary, the conversation discusses calculating the vector potential and magnetic induction for a current flowing in a thin wire bent around a square. The problem is solved by breaking up the integral into four components, one for each side of the square, and then computing ...
Vector Potential of Long Solenoid - Physics Forums
WEBApr 7, 2010 · The vector potential of a long solenoid is used in many practical applications, such as in the design of electromagnets, electric motors, and generators. It is also used in medical imaging techniques, such as magnetic resonance imaging (MRI), which rely on the magnetic field created by a solenoid to produce images of internal body structures.
What is the physical interpretaion of the vector potential.
WEBJun 15, 2011 · The vector potential is a mathematical concept used in electromagnetism to describe the direction and strength of the magnetic field at a given point in space. It is related to the magnetic field by the equation B = ∇ x A, where B is the magnetic field and A is the vector potential.