Once again I came home to find my laptop power cord with teeth marks near the end and it crackling with electricity every time I moved it. It seems that my mother's cat just loves to chew on this thing leaving me without a way to charge my laptop. This is the second time I've repaired it, so I figured I'd make an Instructable to help any other poor souls with a cord loving cat.
WARNING! You are dealing with a power adapter which can cause fires if wires get crossed in the process. Please use caution, make sure the cord is unplugged before starting, and don't blame me if it doesn't work.
Step 1: Cut out the Badness
This whole process should only take about 10 minutes or so. Begin with plugging in your soldering iron and unplugging the laptop power adapter. Start looking at the cord and see if you can find the problem section, in my case it was pretty obvious (See picture). Then take a pair of scissors or a cutting tool such as tin snips and cut out the problem section. You will want to cut as close to the problem as you can so that you don't lose too much cord length.
Step 2: Begin Stripping
So now you should have two cut pieces of your power cord. Slide a piece of heat shrink tubing down onto one of the pieces of wire and move it out of the way for later on. Take a wire stripping tool or a pair of scissors and begin peeling back the insulation from the wires. Be very careful not to cut too deep as you'll have to cut the cord down again. If this is your first time stripping wires I would even recommend practicing on a cheap extension cord you don't mind loosing. As you get through each layer, twist the inner wires together in order to keep them all together. In my case I had two outer layers and then a center wire.