At low temperature the positively charged muon (mu(+)) in solid He-3 i
s localized in a polaron which, unlike a chemically bound complex, is
held together with polarizational attraction (van der Waals force). Th
e dynamic effects in the muon relaxation are determined by the spin ex
change of the He-3 atoms in the polaron. In crystals with large molar
volumes (melting pressure P-m < 60 bar) the rate of magnetic field flu
ctuations at the muon site is at least one order of magnitude lower th
an in an unperturbed crystal. In an external electric field the mu(+)
produces an anisotropic local distortion which reduces the rate of the
local He-3 spin exchange and leads to an increase of the muon spin re
laxation rate.