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Electrical and thermal properties of composites based on high-density polyethylene filled with carbon black(CB), carbon fiber(CF) and their mixture were investigated under alternating current. The composite samples were prepared by thermal pressing from mechanical mixed blend. High-density polyethylene was used as matrix. The filler content was chosen to be 8 vol.% for CF and 8, 12, 16, 30 vol.%  for CB, which is higher loading than the percolation threshold to ensure sufficient heating. The electrical resistivity of the composites decreased significantly from 10¹² Ω cm to ~10¹-10² Ω cm with increasing the CF/CB content.  When a certain voltage was applied to the composites, the equilibrium temperature of the composites surface reached its value within less than 100 s. The maximum surface temperature as the equilibrium state of the composite samples can be easily controlled by adjusting the composites filler ratio.