R.I. Gen. Laws § 39-10-4: Replacement of attorney on termination of power.

If the attorney shall die or resign or be removed, the corporation, individual, or partnership shall make a new appointment, as provided in § 39-10-2, and file a copy with the secretary of state as provided in § 39-10-3, so that at all times there shall be within the state an attorney authorized as provided in § 39-10-2; and no power of attorney shall be revoked until after like power shall have been given to some competent person and a copy thereof filed as provided in § 39-10-3.