We have adapted the current interruption method to obtain electrical equivalent circuits of rat tissues (liver viscera and triceps surae muscle). This paper provides a comprehensive and in-depth explanation of the procedure, and its suitability has been assessed. Experimental data are interpreted using circuit theory and fractional calculus. Histological analysis was also carried out. The technique proposed has a clear physical meaning and we have tried to make this communication accessible to potential readers with multidisciplinary backgrounds. To the best of the authors' knowledge, there is no previous report of adapting the current interruption method to obtain electrical equivalent circuits of tissues using a four-electrode arrangement, circuit theory and fractional calculus.