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...charge cannot leave a
conductor until the e-field at the surface of the conductor is strong
enough to defeat the "work-function" of that material. At very high
values of e-field, charges do start spewing from a conductor. This is
called "field emission", and is usually achived by using incredibly sharp
metal points in a vacuum. If you placed your hand in a vacuum, and
cranked the voltage up (to megavolts? teravolts?), the charges would
finally start to leap from your skin because of their own repulsion. But
the tens of kilovolts from rug-scuffing are too low to cause this, unless
you happen to have some very sharp dust-motes clinging to your fingertip.
William J. Beaty
From there to the beginning of the corona/spark/arc regime the currentremains relatively flat (non-ohmic) with increasing volts.