In this paper a theoretical analysis for negatively biased single and
double spherical probes in a plasma is presented. it is assumed that t
he motion of ions with respect to the probes is radial and that the pl
asma electron distribution function is Maxwellian. Photoemission from
the probes and secondary electron emission are not taken into account.
The analysis provides a tool which may be used to derive plasma param
eters directly from experimentally obtained double probe characteristi
cs. In addition the analysis is applied to the case of an isolated neg
atively charged dust grain in a plasma. The probe theory indicates tha
t the charge on such a dust grain, in a hydrogen or argon plasma at fl
oating potential, is approximately the same as the charge that the gra
in would have in a vacuum, for the case in which the grain's radius is
less than or approximately equal to one tenth of the Debye length of
the ambient plasma. At larger values of the grain radius the charge on
the grain increases with the grain radius.