Bounds for the Electrical Resistance for Non-homogeneous Two-dimensional Conducting Body Article Swipe
Related Concepts
Isotropy
Conductor
Perfect conductor
Mathematical analysis
Upper and lower bounds
Electrical resistance and conductance
Conductance
Homogeneous
Mathematics
Boundary value problem
Electrical conductor
Domain (mathematical analysis)
Cauchy distribution
Physics
Geometry
Combinatorics
Quantum mechanics
Scattering
István Ecsedi
,
Attila Baksa
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.37394/232027.2022.4.11
· OA: W4311611939
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.37394/232027.2022.4.11
· OA: W4311611939
A mathematical model is developed to determine the steady-state current flow through in non-homogeneous isotropic conductor whose shape is a two-dimensional hollow domain. The corresponding electric boundary value problem is formulated using Maxwell's theory of electricity. The determination of the two-dimensional motion of charges is based on the concept of the electrical conductance. The Cauchy-Schwarz inequality is used to get the lower and upper bounds for the electrical conductance. The derived upper and lower bound formulae are illustrated by numerical examples.
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