Electrical impedance tomography is a technique for imaging the interior of a region using DC current and voltage measurements collected on the boundary of the region. The image obtained corresponds to the conductivity of the material in the region. This tomographic method has its origins in geophysical exploration and in biomedical imaging. In this paper, we describe two applications of this technique for NDE. In the first application, we devise a method for determining the length and the location of a straight-line crack in a circular domain. The second application concerns the use of electrical impedance tomography for imaging corrosion in plates.