The maximum magnitude of electrical field strength (E max ) in porous silica dielectrics is derived as a function of porosity in a theoretical approach. The cylindrical air pores assume the Hashin-Shtrikman (HS) structure, two-dimensional periodic square-array, and hexagonal-array structures. In the case of the HS structure, as porosity increases, the electric field strength decreases homogeneously in the silica skeleton; therefore, E max decreases monotonically with increasing porosity. In the case of a square-or hexagonal-array structure, at low porosity, E max is approximately equal to that of the HS structure; however, as porosity increases, the electric field strength around the pore surface deviates from the prediction of the HS model, and electric field strength becomes large at local spots; then E max increases with increasing porosity. In addition similar studies are performed for coated cylindrical air pores.