TITLE:
A Unified Definition of Electrostatic and Magnetic Fields
AUTHORS:
Geoffroy Auvert
KEYWORDS:
Magnetic Field, Electrostatic Field, Biot-Savart Law, Scalar Field Value, Equipotential Line, Square Root Cross Product
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.13 No.5,
May
31,
2023
ABSTRACT: This
article originates from the observation that field lines are drawn using
distinctive rules in magnetic field and electrostatic fields. It aims at reconciliating the
definitions of these fields and thus reaching a consensus on the interpretation of field lines. Our unified field
definition combines three orthogonal vectors and a unique scalar value. Field
lines are then defined as isovalue lines of the scalar value, rendering it
simpler to interpret in both field types. Specific to our field definition is
the use of square root of vector’s cross product so that all vectors have the
same physical unit. This enhanced field definition also enables a more
efficient calculation of Biot-Savart law. This article is the first of a series
allowing the drawing of isovalue contour lines.