Also to save trouble later add a rope to the wire, when you pull the wire thur with the rope just leave the rope there all the time, next time you need a wire just tie a new wire and rope and pull you are finished!
I built a shed in my yard 100 feet from my house, i did the same thing thur a 3" pipe.
If i need a new wire out there for cable or internet or what ever i just go to basement tie on and pull!! no more digging which would be a pain as the water and power are 4 feet under ground in pipe's thats a lot of digging!!