The Fujitsu Lifebook E753 was released in 2013 as a 15.6-inch business laptop. It is powered by 3rd Generation Intel Core (Ivy Bridge) processors. It supports up to 16GB of DDR3 RAM and features a full-sized keyboard with a dedicated number pad, and weighs approximately 2.1 kg.
Its standard 6-cell battery (63Wh or 72Wh availability) provides about 12 hours of runtime. The E753 features a modular bay, which can accept a secondary 28Wh battery. When both batteries are utilized, the laptop can reach up to 18 to 21 hours of total battery life.
After not charging my laptop for a long while due to Power Outage, When the Power supply was restored, I tried charging it and after charging, It did not switch on. I've tried putting it on AC mode - Plugging it without the battery installed - and it still didn't work.
@ujuakuokafor first you want to check your power supply. Make sure it has the proper voltages. Check to make sure that connectors are not bend etc. Check the DC-in jack of your laptop. Make sure there is no corrosion, debris etc. that prevents it from working. Clean it of any debris etc, use a few puffs of air to clean it out. If none of this works, get a ammeter and see if your laptop draws any amperage from the charger. After that, you need to check and see if your motherboard even gets power. For that of course, you need to open it up. Use something like this video to open your laptop up. Post Some good pictures of what your motherboard looks like with your question. That way we can see what you see. Adding images to an existing question
Your computer most likely does have a Fujitsu 621881-X1 motherboard and I have not been able to find the schematics for this. You will need to depend on your own troubleshooting skills if the error is with the motherboard.