scholarly journals A note on ”a note on the magnetic vector potential”

2018 ◽  
Vol 69 (3) ◽  
pp. 259-260
Author(s):  
L’ubomír Šumichrast ◽  
Rastislav Dosoudil
Keyword(s):  
Vector Potential ◽  
Point Charge ◽  
Scalar Potential ◽  
Short Paper ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Rigorous Approach ◽  
Alternative Approach ◽  
Electromagnetic Field Theory ◽  
Paper Author

Abstract In the recently published short paper author deals with the derivation of the scalar potential pertaining to the point charge as well as of the vector potential pertaining to the point current. He shows his alternative approach and compares it to the ”traditional” methods commonly used in textbooks. Here we want to show that use of the generalised functions (symbolic functions, distributions) in the domain of electromagnetic field theory provides more straightforward and more rigorous approach to the problem.

Space–time diagram approach in derivation of Lienard–Wiechert potential for a moving point charge

2013 ◽  
Vol 91 (7) ◽  
pp. 519-521
Author(s):  
Biswaranjan Dikshit
Keyword(s):  
Point Charge ◽  
Scalar Potential ◽  
Charged Particles ◽  
Space Time ◽  
Classical Electrodynamics ◽  
Magnetic Vector Potential ◽  
Time Diagram ◽  
Magnetic Vector ◽  
Electric And Magnetic Fields ◽  
Diagram Approach

In classical electrodynamics, electric and magnetic fields at a point due to moving charges are calculated from the electric scalar potential and magnetic vector potential. For a moving point charge, this potential is known as Lienard–Wiechert potential and is derived in many different ways in textbooks. In this paper, we derive the retarded Lienard–Wiechert potential in a new graphical manner using space–time diagrams so that the derivation becomes more appealing and we can visualize the reason for the presence of an additional velocity-dependant factor in the denominator of the expression for the Lienard–Wiechert potential. The derivation is valid even for charged particles moving at relativistic speeds.

Effects of 3D Eddy Current Finite Element Formulations on ECT Signals

2006 ◽  
Vol 321-323 ◽  
pp. 464-467
Author(s):  
Hyang Beom Lee
Keyword(s):  
Finite Element ◽  
Eddy Current ◽  
Vector Potential ◽  
Nuclear Power ◽  
Scalar Potential ◽  
Gauge Condition ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Special Assumption ◽  
Finite Element Formulations

To obtain the simulated eddy current testing (ECT) signals of steam generator (SG) in nuclear power plant (NPP), nodal-based finite element (FE) analysis with magnetic vector potential (MVP) is usually used. To perform the numerical analysis, we derive the governing equation in terms of MVP and electric scalar potential (ESP) from Maxwell’s equations. To insure the uniqueness of solution, gauge condition has to be considered. In eddy current problems, Coulomb gauge condition (CGC) is usually used. In 2-D or 3-D axis-symmetric analysis, CGC is included during formulation and ESP is eliminated using some special assumption. Because CGC is not used during the formulation in 3-D analysis, we have to include artificially. And because of the heavy computation cost for 3-D analysis modified magnetic vector potential (MMVP) is used by elimination ESP. In this paper, effects of artificial treatment of CGC and elimination of ESP on ECT signal are investigated in order to help for obtaining accurate numerical simulation results.

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