The judge of probate may appoint a general conservator for the county who must be appointed and act as a conservator when no other fit person applies for appointment and qualifies. The term of office of such general conservator shall continue during the term of the judge by whom he or she is appointed, unless he or she is reappointed. If he or she is reappointed, his or her bond, if deemed sufficient, shall remain as a continuing security, or he or she may be required to execute a new bond.