We study the magnetic response of superconductors in the presence of low values of a uniform applied magnetic field. We report measurements of de magnetization and ac magnetic susceptibility performed on niobium cylinders of different length-to-radius ratios, which show a dramatic enhancement of the initial magnetization for thin samples, due to the demagnetizing effects. The experimental results are analyzed by applying a model that calculates the magnetic response of the superconductor, taking into account the effects of the demagnetizing fields. We use the results of magnetization and current and field distributions of perfectly diamagnetic cylinders to discuss the physics of the demagnetizing effects in the Meissner state of type-II superconductors.
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