In order to apply the Deutsch formula induced on single size particle to a industrial electrostatic precipitator which treats the wide range particle, the correction of Deutsch formula are attemped. As this correction formula Matts formula is well known, and auther had alsow proporsed new type one. These correction formula has some constant in them, and the value of these constant are estimated to be changed according to difference of distribution factor of dust particle size. The effect of difference of distribution factor to the value of constant of correction formula are caluclated in ditale. From discussion on the results of caluclation, it became clear that (1) caluclated value of constant indicates good agreement to the emprical value for fly ash, but (2) in generaly, value of constant must be changed according to value of geometric standard deviation and 50 wt% residue particle diameter of dust, and (3) in order to prevent the occurence of error the value of constant and apparent migration velocity obtained by reverse calculation from collection data of small testing ESP (about 30s/m under of SCA) must be corrected when these data are used for estimation of collection efficiency on the large size industrial ESP.