Abstarct: In recent years the behavior of electron gas in semiconductor nanostructures has attracted much attention. Meanwhile the study of electronic transport and the electronic scattering by defects and impurities have been of special importance. In the present study, the effect of the electron scattering by the potential of an impurity in the form of Dirac delta function, for a two dimensional electron gas under a strong magnetic field, is investigated via a formalism baxsed on Lippmann-Schwinger equation and Landauer formula. Results show that the quantized conductance of the system reduces slightly while the strength of the magnetic field is increased. Moreover, the change in the magnitude of the magnetic field will cause oscillations in the pattern of the electronic transmission coefficient as a function of the Fermi energy of the system. It is also observed that the change in the transversal position of the impurity can cause a significant change in the electronic transmission coefficient of the system.