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The critical state of a thin superconducting strip in an oblique appliedmagnetic field H_a is analyzed without any restrictions on the dependence ofthe critical current density j_c on the local magnetic induction {\bf B}. Insuch a strip, j_c is not constant across the thickness of the sample anddiffers from J_c/d, where J_c is the critical sheet current. It is shown thatin contrast to the case of {\bf B}-independent j_c, the profiles H_z(x) of themagnetic-field component perpendicular to the strip plane generally depend onthe in-plane component H_{ax} of the applied magnetic field H_a, and on how H_ais switched on. On the basis of this analysis, we explain how and under whatconditions one can extract j_c({\bf B}) from the magnetic-field profiles H_z(x)measured by magneto-optical imaging or by Hall-sensor arrays at the uppersurface of the strip.Comment: 7 pages with 4 figure

Anisotropic superconducting strip in an oblique magnetic field