The paper presents resistivity characteristics of RuO2-based thick res
istive films (temperature and magnetic field dependences), and analyze
s them from the point of view oi the possible conduction mechanism at
low temperatures. It is shown that simple models based on tunnelling o
f charge carriers between conductive RuO2 grains and on variable range
hopping of carriers between localized impurity states in tile glass m
atrix iia thermal activation do not provide a satisfactory explanation
for the electrical conductivity of tile investigated thick film resis
tors. me suggest a new mechanism based on tunnelling of electrons thro
ugh graded barriers between conductive particles which might explain t
he observed behaviour.