10 amps
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There are zero amps in a 2 mm copper wire. The amps capacity (ampacity) of a copper 2 mm wire is 20 amps. A 2 mm wire is equivalent to a #12 AWG wire.
It will taken 8 amps <<>> The conversion of 2.5 sq mm wire to AWG is equal to a #12 wire. The ampacity of a #12 copper wire with an insulation factor of 90 degrees C is 20 amps.
If you mean 2/0 copper wire it is rated 175 amps. # 2 wire is 115 amps. If you are referring to 2.0 metric it is rated 15 amps.
# 4 copper wire short distance.
A #8 copper wire with an insulation factor of 75 or 90 degrees C is rated at 45 amps.
Ground is sized based on the size of the feeder wire and not the amps of the service! However, for a 600 amp service 1500MCM copper wire is one option (NEC 310.16) ;therefor, ground wire is 3/O copper (NEC 250.66) or another option is a two sets of 350 MCM copper wire then a #2 copper (since the biggest feeder wire is 350MCM).