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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
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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 

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References

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4. Rauscher, M. Introduction to Aeronautical Dynamics, pp 373–377. Wiley, 1953.Google Scholar