The electric field energy density 3-form is defined as ωe = (1/2) E ∧ D, as stated in "Electromagnetics" by Richard H. Selfridge, David V. Arnold, and Karl F. Warnick. The factor of 1/2 is derived from the definition of the electric field, specifically in the context of potential energy conversion between charges. The discussion highlights the importance of understanding this factor, particularly as it relates to the derivation presented in Griffiths' work on pages 91-94.
PREREQUISITESStudents of physics, electrical engineers, and researchers interested in advanced electromagnetism concepts and energy density analysis.
The electric field energy density 3-form is
[tex]\omega_e = \frac{1}{2} E\wedge D[/tex]
where the factor of 1/2 arises from the way the electric field has been defined. (If two charges are near each other, stored potential energy can be converted to kinetic energy by allowing one charge to accelerate away. The energy of the field due to the second charge remains but cannot be extracted, so we exclude it from the definition of [itex]\omega_e[/itex])