Conductor sizing for conduit fill

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Jay Q

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We are doing a job that requires a 3ph 225amp feeder for a panel.
The wire size for that ampacity is 4-#4/0 and 1-#4g. in 2 1/2" conduit.
The building has existing empty 2" conduit run to the spaces.
I calculated the wire size using the tables in chapter 9 and i see that i can not use that wire in a 2".
I think if we use a bare #4 ground i could use the existing 2" conduit.
Thats using 4 - #4/0thhn and a bare #4.
My question is do i use chapter 9 table 8 to size the bare #4 in Overall/Area/in.? colume?
 
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