vanesch said:
for the current to flow, it must have two points of contact (entry and exit). That's why the bird, or the line man, can touch ONE line (in a point, or nearly so).
Assuming that there's a load on the line, current is already flowing through the wire. My point was that the bird is touching the line in two points, and does provide a parallel path for the current, so some very small amount of current does flow through the bird, it's maybe be nearly zero current, but it's not zero current.
For a real world example, imagine a busted light with the elements exposed to the water in a swimming pool. The water acts as a single line of conductance, but if a human in the water get's close enough to the busted light, the human conducts electricty better than the water and can get electrocuted.
For an imaginary case, replace a segment of the high voltage wire with a (very pure) water filled bird bath, so that the current is flowing through the water. If a bird lands in the bath, it will get a serious shock.
So the bottom line is that the line is a good conductor of electricty, there's very little voltage drop across the small segment of line that the bird touches, and the bird has a much higher resistance to current than the wire.
Obviously there's a huge potential voltage difference between a pair of high voltage wires or a single high voltage wire and and grounded source (including the air). If a bird touches both wires, or closes the gap enough that a spark travels through the air, the bird get's cooked. To reduce the odds of this happening where there are large birds like eagles, perches above the wires are made to attact large birds to the higher perches.