Private, appointed counsel shall submit a voucher to the clerk of court of the county of appointment setting forth all details of the appointment for purposes of remuneration under Section 17-3-50 and reimbursement of expenses under Section 17-3-80, and the public defender shall do likewise under Section 17-3-80. It shall be the duty of the clerk of court to present the voucher to the trial judge for approval and to transmit the same to the Judicial Department who shall make payment to the appropriate party.