The use of symmetric reversing electric field pulses in electrooptic studies of rigid macromolecules in order to determine the ratio between the permanent and the induced dipole moments is well established. Application of this method to studies of small macromolecules requires a field reversal time of only a few nanoseconds. No high current pulse generator capable of producing symmetric kV pulses with such a short reversal time is available for studies of small macromolecules in physiological salt solutions, but it has long been known how to make such reversing pulses that are asymmetric. In order to take advantage of the opportunity offered by the latter fact, we here present a theoretical analysis in the thermal domain of the electrooptic properties of solutions containing rigid macromolecules with axial symmetry when exposed to asymmetric reversing electric field pulses. The analytical expressions needed for quantitative determination of the ratio between the permanent and the induced electric dipole moments of rigid macromolecules using electrooptic data obtained employing reversing electric pulses with given asymmetry are presented. The feasibility of this new approach is demonstrated by including experimental electric birefringence data for a 12 kDa protein (segment 14 of alpha-spectrin from Drosophila brains) in near physiological salt solutions obtained using a coaxial cable pulser producing 2 microseconds long pulses with a reversal time of about 15 ns.