The likely cause of the original battery fault is a very common mistake in the way laptops are used. A laptop battery, working at optimum efficiency, whether of the older Nickel Cadmium and Nickel Metal Hydride or newer Lithium Ion types, is meant to charge under power and then discharge under use, if it is to have a long and useful life. This means that it should be used in a similar way to a cellphone's battery - connected to mains electricity and charged up when low or flat and then disconnected from the power and used on battery power alone until the power level means the cycle needs repeating. Many people, however, unwittingly use their laptops like desktop PCs and leave the mains electricity permanently connected to it even after the battery is fully charged. The reason that people cite for doing this is 'convenience'. This, however, is a mistake.
Laptops have more flexibility than cellphones in that, if they are mainly used in one place rather than as mobile devices, then it is possible to charge the battery to full capacity, disconnect from the mains, then remove and keep the battery until the next time the laptop's mobility function is required (periodically recharge the stored battery if not in use for long periods of time because the charge slowly dissipates when not in use), reconnect the mains to the battery-less laptop and use it like that, ad infinitum. When a laptop battery is fully charged, what it really wants to do is discharge. However, maintaining the mains connection prevents it from doing so. The Power Management System on the motherboard is designed to cope with long periods of either battery powered or battery-less mains powered use, but not long periods of simultaneous battery + mains powered use. A fully charged battery still connected to mains electricity has no means of discharging and various power sensitive components such as the Power Inverter, Cold Cathode Backlight, LCD Panel, Graphics Chip and Motherboard Power Management Stystem can become damaged by the power bottleneck created. Using the battery in this wrong way also gradually depletes the charging capacity of the cells, until eventually, the cells can carry no charge, meaning a dead battery. A dead battery, where the cells are depleted, left in the laptop with the mains connected, is even worse for the Power Managent System because the flow of power to the motherboard via the dead battery cells is inefficient and intermittent, creating battery overheating, low CPU Cooling Fan speed, inferior cooling and consequent internal overheating hazards in addition to potential electrical damage to several components. When damage to the Motherboard Power Management System passes a certain point, even a new battery might not charge - the situation in which you now find yourself. Loose DC jacks, leading to intermittent power drops and surges, are typically caused by the jack being allowed to take the weight of the heavy transformer box on the laptop's power cable. The solution is to ensure that the laptop is never held, carried or used with the transformer hanging unsupported. If the laptop is in use, the transformer should be disconnected, carried, placed on a desk or table near the laptop (if the cord is short) or laid completely full-weight-flat on the floor (if the cord is long enough). Also, a Surge Suppressor/Surge Protector should always be used between the mains power socket and all computer equipment, rather than directly to the mains.
If either the Motherboard Power Management System or DC Jack are ever damaged, your laptop would require professional specialist repair by a Component Level Laptop Repair Specialist, providing No Fix No Fee, Warrantied Repairs ( typically 3-6 months Repair Warranty). I hope this helps.
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