An instrument for the measurement of small relaxation currents in lipid bilayers is presented, and a method whereby the initial charging peak can be compensated is discussed. By using the techniques described relaxation phenomena of time constant, .tau., down to 1 .mu.s and amplitude greater than 3 .cntdot. 10-14 amp.cntdot.s/.tau. can be resolved. Such measurements are useful elucidating carrier transport kinetics, in studying physical properties of membranes (viscosity, compressibility) and in determining the effect of external conditions on such properties.