Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-25T18:43:18.474Z Has data issue: false hasContentIssue false
  • English
  • Français

A Proof of the Biot-Savart Law

Published online by Cambridge University Press:  24 August 2017

B. G. Newman
B. G. Newman*
Affiliation:
McGill University
Get access Rights & Permissions [Opens in a new window]

Extract

The Biot-Savart law gives the velocity associated with an elemental portion of line vortex, or the magnetic field associated with an elemental portion of line current. The following proof may appeal to students who approach fluid mechanics or electromagnetic-field theory from the engineering viewpoint. It will be stated in terms of fluid mechanics.

Consider a very small length δs of line vortex of circulation strength Γ. At P(x) the velocity δV associated with this portion depends on Γ δs and x.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 72 , Issue 689 , May 1968 , pp. 437
Copyright
Copyright © Royal Aeronautical Society 1968 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Glauert, H. Aerofoil and Airscrew Theory, p 127. CUP, 1947.Google Scholar
2. Milne-Thomson, L. M. Theoretical Hydrodynamics, pp 487–491. Macmillan, 1938.Google Scholar
3. Prandtl, L. and Tietjens, O. G. Fundamentals of Hydro and Aeromechanics, pp 201–207. McGraw-Hill, 1934.Google Scholar
4. Rauscher, M. Introduction to Aeronautical Dynamics, pp 373–377. Wiley, 1953.Google Scholar