  Dust particulates immersed in a quasineutral plasma can emit electrons in
several important applications. Once electron emission becomes strong enough,
the dust enters the positively charged regime where the conventional
Orbital-Motion-Limited (OML) theory can break down due to potential well
effects on trapped electrons. A minimal modification of the trapped-passing
boundary approximation in the so-called OML$^+$ approach is shown to accurately
predict the dust charge and heat collection flux for a wide range of dust size
and temperature.
