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Temperature and magnetic field dependences of the conductivity of YBaCuOfilms in the transition region are analyzed taking into account spatialinhomogeneity in transition temperature, Tc.  (i) An expression for the superconducting contribution to conductivity,\sigma_s(T,H,Tc), of a homogeneous superconductor for H<<Hc2(T=0) is obtainedusing the solution of the Ginzburg-Landau equation in form of perturbationexpansions [S.Ullah, A.T.Dorsey, PRB 44, 262 (1991)].  (ii) The error in \sigma_s(T,H,Tc) occurring due to the presence ofTc-inhomogeneity is calculated and plotted on an H-T plane diagram. Thesecalculations use an effective medium approximation and a Gaussian distributionof Tc.  (iii) Measuring the temperature dependences of a voltage, induced by afocused electron beam, we determine spatial distributions of the criticaltemperature for YBaCuO microbridges with a 2 micron resolution. A typicalTc-distribution dispersion is found to be approximately 1K. For suchdispersion, error in \sigma_s(T,H,Tc) due to Tc-inhomogeneity exceeds 30% formagnetic fields H < 1 T and temperatures |T-Tc| < 0.5 K.  (iv) Experimental R(T,H) dependences of resistance are well described by anumerical solution of a set of Kirchoff equations for the resistor networkbased on the measured spatial distributions of Tc and the expression for\sigma_s(T,H,Tc).Comment: REVTeX, 12 pages including 7 figures, resubmitted to Phys. Rev.

physical review. b, condensed matter

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Temperature and magnetic-field dependence of the conductivity ofYBa2Cu3O