Introduction to Electric Vector Potential and Its Applications
Oct 9, 2020 · For our vector potential we are however free to choose (by gage invariance or direct verification). Then which are of course 3 scalar equations, one of which is and by similarity to the …
Vector potential of an infinitely long cylinder - Physics Forums
May 12, 2018 · The discussion focuses on the vector potential of an infinitely long cylinder, highlighting the mathematical relationships between the vector potential \ ( \vec {A} \) and the magnetic field \ ( …
What Is the Coulomb Gauge in Electromagnetic Theory?
Jul 24, 2014 · The Coulomb gauge in electromagnetic theory is defined by the condition that the divergence of the vector potential, \ (\nabla \cdot \vec {A} = 0\). This choice simplifies the Maxwell …
Finding Vector Potential of Infinite Solenoid - Physics Forums
Mar 7, 2005 · The vector potential of an infinite solenoid with n turns per unit length, radius R, and current I can be determined using the relationship between magnetic field B and vector potential A, …
Calculate the Magnetic Vector Potential of a circular loop carrying a ...
Jun 13, 2023 · The discussion focuses on calculating the Magnetic Vector Potential of a circular loop carrying a current, specifically addressing the integration limits and symmetry in the xy-plane at …
How do I determine the correct vector potential for a given electric ...
Apr 3, 2013 · The discussion centers on determining the correct vector potential \textbf {A} for a given electric field \textbf {E} using the relationships defined by Maxwell's equations. The participants …
How to calculate magnetic vector potential? - Physics Forums
Apr 19, 2015 · Source WIki: An axially symmetric toroidal inductor with no circumferential current totally confines the B field within the windings, the A field (magnetic vector potential) is not confined. Arrow …
Magnetic vector potential of infinite wire • Physics Forums
May 1, 2006 · The discussion focuses on calculating the magnetic vector potential \ ( A \) at a distance \ ( r \) from an infinite straight wire carrying a current \ ( I \). The vector potential is derived using the …
Vector Potential of Magnetic Field: Why Set Divergence to 0?
Nov 14, 2004 · Here, \Phi is the associated scalar potential, whereas \vec {A} is the associated vector potential. A hand-wavy argument for the allowance of the divergence-free condition on \vec {A} is the …
Boundary condition for magnetic vector potential - Physics Forums
May 14, 2011 · The forum discussion centers on the boundary condition for the magnetic vector potential as presented in Griffiths' textbook, specifically equation 5.76. The participants analyze the …