In this paper, by extending the previously developed self- and mutual-radiation impedance calculation method for a regular-square vibrating surface by using numerical series, we proposed a method to obtain the self-radiation impedance of a rectangular transducer with an arbitrary integer ratio of the length to width. The proposed method exhibits high accuracy and a short computation time. After investigating the accuracy and computation time as the number of elements changes, we have calculated the self-radiation impedance of several rectangular transducers, and compared the results with those in the literature.