  We study electric properties of random resistor networks consisting of
resistors of two kinds numerically, focusing on the power loss across each
bond. Tuning the ratio of the resistances $r$ and their respective fraction
$\alpha$ we find that at large $r$ the conductance of the network is dominated
by a few optimal, percolation-like, conducting paths. We demonstrate that the
distribution of the local power losses $P$ is exponential,
$\propto\exp(-P/\langle P\rangle)$, and reveal the spatial distribution of
hotspots concentrating the main part of the dissipated power.
