Hi,
you can't really calculate the potentials. You would need to find table of potentials for each specific cathode or find it experimentally.
I said "really" because 20 years ago it wasn't possible at all, but today, with quantum physics progress it could be possible. Even if that's true it would involve LOTS of quantum physics knowledge and calculations, so realistically - not possible
As supplement to previous example there is another one:
- take NiChrome wire
- dissolve in hydrochloric acid
- place dissolved salts in the cell
- place two cathodes, one made of Ni and another made of Cr, and one anode between them at correct distance
- make sure you have good mixing of the electrolyte while plating
Now, it is theoretically possible to selective electroplate Ni on Ni cathode and Cr on Cr cathode.
In order to achieve that you would need to find overpotentials of Ni on Cr cathode and Cr on Ni cathode.
Then find what voltage at which salt concentrations would allow plating Ni on Ni cathode but would't allow plating Cr on Ni cathode.
Make sure the voltage does the same to Cr on Cr and Ni cathodes.
Adjust concentrations by adding Ni and/or Cr salts.
Turn on the cell and monitor concentrations by adding Cr or Ni salts when their relative concentrations falls out of brackets you calculate earlier.
If you do it correctly you would have all Cr plated on Cr cathode and all Ni plated on Ni cathode.
As you can see from level of complications it is rather theoretical possibility
Regards