Results on the systematics of the magnetic penetration depth k,b in the high-temperature superconductors Bi2Sr~Cal, Y,Cu208+g (z =0,0.1,0.2,0.3,0.4, 0.45) and Bi2 Pb Sr2CaCu208+g(x=0.15,0.30,0.70) are reported from muon-spin-rotation measurements on polycrystalline samples with known oxygen excess 5. In determining A, ,z various additional sources for inhomogeneous internal field distributions, besides the one arising from the Aux-line lattice, have been critically taken into account. The most important one arises from a type of powder broadening due to the anisotropy of the field-cooled magnetization.

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