(a) The several judges of the probate courts are authorized to administer oaths in all cases where the authority is not specially delegated to some other officer and to receive the same fees therefor as are allowed magistrates.

(b) The judge of the probate court in any county of this state having a population of 550,000 or more according to the United States decennial census of 1970 or any future such census shall have the power and authority to administer the oath of office to any officer or official of such county or any municipality located within such county and to each judicial officer of the state whose jurisdiction extends to such county.