Poynting vector flow in a circular circuit
Autor: | Basil S. Davis, Lev Kaplan |
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Rok vydání: | 2011 |
Předmět: |
Physics
05 social sciences Classical Physics (physics.class-ph) FOS: Physical sciences 050301 education General Physics and Astronomy Charge density Physics - Classical Physics Mechanics Space (mathematics) 01 natural sciences Magnetic field Power (physics) Flow (mathematics) Electric field Energy flow 0103 physical sciences Poynting vector 010306 general physics 0503 education |
Zdroj: | American Journal of Physics. 79:1155-1162 |
ISSN: | 1943-2909 0002-9505 |
Popis: | A circuit is considered in the shape of a ring, with a battery of negligible size and a wire of uniform resistance. A linear charge distribution along the wire maintains an electrostatic field and a steady current, which produces a constant magnetic field. Earlier studies of the Poynting vector and the rate of flow of energy considered only idealized geometries in which the Poynting vector was confined to the space within the circuit. But in more realistic cases the Poynting vector is nonzero outside as well as inside the circuit. An expression is obtained for the Poynting vector in terms of products of integrals, which are evaluated numerically to show the energy flow. Limiting expressions are obtained analytically. It is shown that the total power generated by the battery equals the energy flowing into the wire per unit time. 19 pages, 8 figures |
Databáze: | OpenAIRE |
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