The Scalar Potential Field

B. Hague

Chapter 6 in An Introduction to Vector Analysis For Physicists and Engineers, 1970, pp 91-100 from Springer

Abstract: Abstract Let S be a scalar point-function which may be mapped out in space by a series of level surfaces, upon each of which the scalar has a definite but different constant value. These surfaces divide up the region of space into a series of layers or laminae. Associated therewith is a vector field Vs directed everywhere normal to the level surfaces, i.e. in the direction of the greatest rate of increase of S at any point and having a magnitude equal to that rate of increase. This is expressed by 4.3, namely, $$ {V_s} = gradS = \nabla S. $$

Keywords: Vector Analysis; Magnetie Force; Vector Field Versus; Magnetomotive Force; Scalar Potential Field (search for similar items in EconPapers)
Date: 1970
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DOI: 10.1007/978-94-009-5841-8_6

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