  We derive bounds on the volume of an inclusion in a body in two or three
dimensions when the conductivities of the inclusion and the surrounding body
are complex and assumed to be known. The bounds are derived in terms of average
values of the electric field, current, and certain products of the electric
field and current. All of these average values are computed from a single
electrical impedance tomography measurement of the voltage and current on the
boundary of the body. Additionally, the bounds are tight in the sense that at
least one of the bounds gives the exact volume of the inclusion for certain
geometries and boundary conditions.
