Any public officer of the state, including a judge of the court of appeals, whose post of duty is located in a county other than in the county from which elected or appointed, and who is physically residing where his post of duty is located, shall be deemed a qualified elector and resident of the county from which elected or appointed if he registers, or remains registered, to vote in a precinct in such county. This section shall also apply to the spouse and any dependents of such public officer if otherwise qualified to vote and actually residing with the public officer.