  Kinetic inductances of superconducting nanostrips with a meander pattern are
theoretically investigated based on the London model, and the effect of the
current crowding at the turns of the nanostrips is considered. The complex
current approach is developed for analytical investigation of the kinetic
inductance of nanostrips with turns for thin $d<\lambda$ and narrow $w\ll
\lambda^2/d$ superconducting strips, where $d$ is the strip thickness, $w$ is
the strip width, and $\lambda$ is the London penetration depth. We show that
the current distribution in superconducting nanostrips of $wd\ll\lambda^2$ is
identical to that in normal conducting nanostrips of $wd\ll\delta^2/2$, where
$\delta$ is the skin depth, and the dependence of the kinetic inductance on the
nanostrip geometry is identical to that of the normal resistance. Effects of
the edge defects of superconducting strips upon the kinetic inductance are also
considered.
