12volt vs 6 volt Coil in 6 volt System

[dorvedahl47pu]

Copy that...the Ohm's Law math lead me to this coil which was listed as a 6 volt, 1.5 ohm coil in the advertisement on Ebay. With Ohm's Law in mind then I shouldn't care if the coil is labeled as a "12 volt coil" since the coils resistance is 1.5 ohms and that is what my 6 volt positive ground set-ups need? Therefore, a coils resistance is independent of the voltage running through it? Just trying to understand. Electricity is not my strong suit....