The Force Between Current Elements: Difference between revisions
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| title = The Force Between Current Elements | | title = The Force Between Current Elements | ||
| author = [[Domina Eberle Spencer]], [[Uma Y Shama]], [[Parry H Moon]], [[Philip J Mann]], [[Arjan Sobhraj Mirchandaney]] | | author = [[Domina Eberle Spencer]], [[Uma Y Shama]], [[Parry H Moon]], [[Philip J Mann]], [[Arjan Sobhraj Mirchandaney]] | ||
| keywords = Lorentz force, Gauss | |||
| published = 1994 | | published = 1994 | ||
| journal = [[Physics Essays]] | | journal = [[Physics Essays]] | ||
| volume = | | volume = 7 | ||
| number = | | number = 2 | ||
| pages = 223-232 | | pages = 223-232 | ||
}} | }} | ||
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Amp?re proposed an equation for the force between current elements in 1823. Gauss and Weber suggested equations for the force between moving charges which are derived from scalar potentials and are consistent with the Amp?re equation. Grassmann derived an alternative equation for the force between current elements in 1845, which is often called the Lorentz force. This paper derives a time-variant generalization of this equation. It also proposes a new equation for the force between current elements that satisfies the basic criteria suggested by Gauss and Hertz. | Amp?re proposed an equation for the force between current elements in 1823. Gauss and Weber suggested equations for the force between moving charges which are derived from scalar potentials and are consistent with the Amp?re equation. Grassmann derived an alternative equation for the force between current elements in 1845, which is often called the Lorentz force. This paper derives a time-variant generalization of this equation. It also proposes a new equation for the force between current elements that satisfies the basic criteria suggested by Gauss and Hertz. | ||
[[Category:Scientific Paper]] | [[Category:Scientific Paper|force current elements]] | ||
Latest revision as of 09:18, 21 July 2026
| Scientific Paper | |
|---|---|
| Title | The Force Between Current Elements |
| Author(s) | Domina Eberle Spencer, Uma Y Shama, Parry H Moon, Philip J Mann, Arjan Sobhraj Mirchandaney |
| Keywords | Lorentz force, Gauss |
| Published | 1994 |
| Journal | Physics Essays |
| Volume | 7 |
| Number | 2 |
| Pages | 223-232 |
Abstract
Amp?re proposed an equation for the force between current elements in 1823. Gauss and Weber suggested equations for the force between moving charges which are derived from scalar potentials and are consistent with the Amp?re equation. Grassmann derived an alternative equation for the force between current elements in 1845, which is often called the Lorentz force. This paper derives a time-variant generalization of this equation. It also proposes a new equation for the force between current elements that satisfies the basic criteria suggested by Gauss and Hertz.