  A first order perturbation with respect to velocity has been employed to find
the frictional damping force imposed on a single moving charge due to a
perturbative electric field, inside a long circular cylindrical trap. We find
that the electric field provides a cooling effect, has a tensorial relationship
with the velocity of the charge. A mathematical expression for the tensor field
has been derived and numerically estimated. The corresponding drag forces for a
charge moving close to the wall in a cylindrical geometry asymptotically
approaches the results for a flat surface geometry calculated in the
literature. Many particle conduction cooling power dissipation is formulated
using the single particle analysis. Also the cooling rate for a weakly
interacting ensemble is estimated. It is suggested that a pre-trap section with
relatively high electrical resistivity can be employed to cool down low density
ensembles of electrons/positrons before being injected into the trap. For a
micro-trap with tens of thousands of micro-tubes, hundreds of thousands of
particles can be cooled down in each cooling cycle. For example, tens of
particles per micro-tube in a $5 cm$ long pre-trap section with the resistivity
of $0.46 \Omega m$ and the micro-tubes of radius $50 \mu m$ can be cooled down
with the time constant of $106\mu s$.
