Repair a laptop power supply by firstly removing the wire from both the laptop and the outlet.
Remove the wire from both the laptop and the outlet.
Cut the wire at any point beyond the damaged area so that you can make a clean cut. It is best to leave at least a few millimeters between the damaged area and the cut to ensure that there is no damage to the wires you are going to reconnect.
Cut the damaged wire from the connector jack leaving as much undamaged wire as possible. This can often be difficult if your jack was damaged close to the end. Remember, however, that the thicker casing near the jack still contains basic wire and can be cut if need be. It is only thicker for support purposes.
Carefully start to cut the outer plastic of both ends of the cut wire about a centimeter from the end. Do this gently as you do not want to cut the wires wrapped around the inner insulation. Remove the excess plastic.
Move the wrapped wires out of the way, and gently cut the inner insulating plastic only a few millimeters from the end. You will only need a tiny bit of exposed cord for this inner wire.
Intertwine the two ends of the inner wire, and wrap this connection with a small piece of electrical tape. Make sure the wires maintain as much connection as possible and that the tape does not bend.
Wrap the outer wire around the electrical tape, making sure the outer wires overlap. If there is not enough outer wire near the jack (a common problem), use a small piece of aluminum foil to complete the connection. Tape this tightly with electrical tape.
Secure the entire connection with a complete wrap of electrical tape, and test your connection.