The current density and local magnetic field are calculated analytically for a strip of a type-I1 superconductor in perpendicular magnetic field Ha for constant critical current density. The penetrating flux front has vertical slope and the initial penetration depth, magnetization change and hysteretic losses are -H:, -H,8 and -H:, respectively. The analytical results differ from the widely used Bean model and explain numerous experiments in a natural way without the assumption of a surface barrier.

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