The paper examines the conditions in which a discharge occurs between charg
ed spherical particles and grounded surfaces, in air, at atmospheric pressu
re. The study is of interest to a large group of electrostatic applications
which involve the processing of particulate matter: separation of granular
mixtures, precipitation of dust, and spraying of powders, At the same time
, this simple physical model simulates a class of hazardous situations quit
e often met in the operation of electronic circuits, Boundary-element metho
d was employed for the computation of the electric field in the gap of leng
th x between a charged conductive spherical particle of radius R and a grou
nded plate. The data on held distribution represented the input data of an
original program which employed Pedersen's criterion for estimating the bre
akdown conditions of that air-gap. The study was carried out for spheres of
various sizes (radii: 0.01-1 mm), Some computations were performed for the
case when the grounded plate was covered with an insulating layer of known
permittivity. The computational results were in good agreement with,with t
he experimental data for both long (x/R > 10) and short (x/R < 0.1) gaps.