  With materials of anisotropic electrical conductivity, it is possible to
generate a dynamo with a simple velocity field, of the type precluded by
Cowling's theorems with isotropic materials. Following a previous study by
Ruderman and Ruzmaikin [1] who considered the dynamo effect induced by a
uniform shear flow, we determine the conditions for the dynamo threshold when a
solid plate is sliding over another one, both with anisotropic electrical
conductivity. We obtain numerical solutions for a general class of anisotropy
and obtain the conditions for the lowest magnetic Reynolds number, using a
collocation Chebyshev method. In a particular geometry of anisotropy and
wavenumber, we also derive an analytical solution, where the eigenvectors are
just combinations of four exponential functions. An explicit analytical
expression is obtained for the critical magnetic Reynold number. Above the
critical magnetic Reynold number, we have also derived an analytical expression
for the growth rate showing that this is a 'very fast' dynamo, extrapolating on
the 'slow' and 'fast' terminology introduced by Vainshtein and Zeldovich [2].
