Magnetic and magnetoresistive properties of several samples of compacted powders of ferromagnetic half-metal CrO 2 , consisting of needle-shaped or spherical nanoparticles coated with thin dielectric shells, were investigated in wide temperature range. The temperature dependence of the coercive force H c (T) is compared with the temperature dependence of the field of maximum of positive tunneling magnetoresistance H p (T). The dependence of H p (T) was nonmonotonic one. It is found that in the low-temperature range (4.2 ÷ 70 K) the ratio H p ≈ H c , expected for compacted ferromagnetic powders with particles of submicron sizes, does not fulfilled. It is assumed that the possible reason of the difference between H p and H c is the mismatch between the orientation of the global magnetization of the entire sample and the orientations of the magnetic moments in some part of granules that form the optimal conducting channels at low temperatures. Such a mismatch may be due to the multidomain granules are more prone to the formation of optimal conducting chains in the transport channels. That leads to a change in the mechanism of magnetization reversal in these channels and to violation of the ratio H p ≈ H c .