Recently I had my car just die on me, it seemed that the battery was too low to effectively start the car (when turning the key it would not start - no turning over noises nothing) Eventually I got the car started by jumping it (had to wait for 25 mins with the leads on the battery and the booster car on. I went in to get my battery replaced (previously the battery was only 2 years old), replaced the battery and now I seem to have this issue where when I rev the engine in neutral the cabin lights dim slightly and when I use the window switches it causes the dash lights to dim. You can also hear the electrical whining noise going in and out.
Here's a video of the lights dimming (https://vid.me/ip7A)
Any help would be appreciated, I initially thought that the starter wire was corroded and hence why my car would not start that day and the dead battery was just something that went along with it (since the windshield wipers, radio, lights seemed to work fine that day, while the car didn't start)
Any ideas what to do next, could it be the alternator ?