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675 
XVII. Problems in Electric Convection. 
By G. F. C. Searle, M.A., of Peterhouse, Cambridge, Demonstrator in Experimental 
Physics in the University of Cambridge. 
Communicated by Professor J. J. Thomson, F.R.S. 
Received March 16,—Read March 19, 1896. 
Contents. 
Section. Page. 
1. Introduction..675 
2. Mathematical Abbreviations.678 
3. Statement of Principles.679 
4. Application to Steady Motion.. . 681 
5. Application of Vector Methods.684 
6. Motion of a Point-Charge.685 
7. Motion of a Line-Charge.688 
8. Mechanical Force due to Electromagnetic Action.690 
9. Mechanical Stress between Two Systems.691 
10. Mechanical Force experienced by a Moving Charge.692 
11. Mechanical Force experienced by a Moving Pole.694 
12. Mechanical Foi’ce experienced by a Moving Electric Current.695 
13. Values of E and H in terms of F and R.. . 695 
14. Meaning of curl F = 0.695 
15. Equilibrium Conditions.696 
16. Equilibrium Surfaces.-.698 
17. Electrical Distribution on an Equilibrium Surface. 701 
18. Mechanical Force on a Charged Surface. 704 
19. Stress between a Pair of Moving Charges.707 
20. Motion of a Charge in a Magnetic Field. 709 
21. Equivalent Distributions. 710 
22. Energy of a System of Moving Charges. 711 
Introduction. 
1. The following paper is occupied by an attempt to investigate the distribution of 
the electric and magnetic forces which are called into play when certain electro¬ 
magnetic systems are made to move with uniform velocity through the ether. 
Maxwell’s theory will be employed throughout, and will be applied to the exact 
solution of several problems, and to the establishment of some results of a general 
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