  Graphene-Polyvinyl alcohol (PVA) nanocomposite films with thickness $120 \mu
m$ were synthesized by solidification of PVA in a solution with dispersed
graphene nanosheets. Electrical conductivity data were explained as arising due
to hopping of carriers between localized states formed at the graphene-PVA
interface. Dielectric permittivity data as a function of frequency indicated
the occurrence of Debye-type relaxation mechanism. The nanocomposites showed a
magnetodielectric effect with the dielectric constant changing by 1.8% as the
magnetic field was increased to 1 Tesla. The effect was explained as arising
due to Maxwell-Wagner polarization as applied to an inhomogeneous
two-dimensional,two-component composite model. This type of nanocomposite may
be suitable for applications involving nanogenerators.
