Title :
Applications of multidimensional distributions in electrostatics
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
5/1/1998 12:00:00 AM
Abstract :
The multidimensional Dirac delta function and the Heaviside unit step function are shown to be analytical tools of use in solving classical demonstrations of Gauss´s Law in electrostatics. Applications in spherically symmetric and cylindrically symmetric scenarios are presented-and verified by the differential form of Gauss´s Law
Keywords :
electrostatics; Gauss´s Law; Heaviside unit step function; cylindrically symmetric application; electrostatics; multidimensional Dirac delta function; multidimensional distributions; spherically symmetric application; Electrical engineering; Electromagnetics; Electrostatic analysis; Gaussian distribution; Gaussian processes; Helium; Integral equations; Linearity; Multidimensional systems; Testing;
Journal_Title :
Education, IEEE Transactions on
