A wall bearing no load.

Usually, a load bearing wall will be perpendicular to the roof ridge.

Load Bearing - something that bears a load. Like a load bearing wall in a house. The wall is holding something up like the roof, another floor, etc.

Yes, you can run electrical wires in a load bearing wall.

A load-bearing wall itself will not cause structural damage.

However, if a load-bearing wall is removed without structural replacement, yes structural damage will occur.