The electromagnetic field of a plane trapezoid or triangle of uniform
distribution of current is calculated, especially in the source region
, using a semi - analytical method, which avoids the difficulties of n
umerical integration, arising from the singularity inherent in the nea
r field calculation. Comparisons with other analytical or numerical me
thods, each one suffering from important limitations, show the accurac
y of the proposed method. Potential applications of this work can be f
ound in areas such as the scattering or complex natural frequencies ca
lculation of complex conducting objects using the method of moments (M
OM) or similar techniques, and especially for the calculation of the s
elf-terms or terms corresponding to nearby trapezoidal or triangular p
atches of the complex conducting surface, in the context of the MOM.