Time for dedicated outlets!

2 very important considerations for installing 2 dedicated 20 amp duplex AC outlets:
1) Proper wire size for a 20 amp circuit is 12 gauge or possibly as large as 10 gauge...3 conductors. Be careful with anything over 12 gauge. 
2) The 2 circuits must be on the same sevice panel buss or you will create a giant antenna and have enormous ground loop hum.

It may be more economical and avoid the creation of the potential antenna effect by just installing a single dedicated 20 amp duplex AC outlet and using a large 20 amp multiple outlet strip. Sometimes simplicity trumps complexity. This technique insures that your dedicated outlet will not have inherent ground loop hum and will supply the power you need.

Yes, it is either
12-2 Romex or 10-2 Romex...."cleeds" is on it!
You can debate which one to run for a 20 amp duplex outlet but what you have is a Black Positive conductor, a White Neutral conductor, and a Green Ground conductor. 
In the Service Panel: the 20 amp breaker will have only the Black wire,
   The White will be attached to the Neutral Bar and the Ground to the 
   Ground Bar.

Sir cleeds,
If I may, the power company does not supply a ground wire.
You only have three supply wires coming in from your utility/power company.
2 are the supply wires...Positives...one for each half of a 200 amp service or whatever your home has. The third wire is the Neutral wire.
No ground comes to your home.  Your ground is made-up via a 6' copper grounding rod driven in the ground.