I have a Dell Inspiron 1545 and it will not start when I disconnect the power supply. Any ideas?

The battery reads 100% full charge, but when I disconnect the power supply, the system cuts out - as if the battery is fully charged but not usable by the system. The amber charging light is on constantly when the power supply is connected and the system seems to run fine with it connected. The moment I pull it... show more The battery reads 100% full charge, but when I disconnect the power supply, the system cuts out - as if the battery is fully charged but not usable by the system. The amber charging light is on constantly when the power supply is connected and the system seems to run fine with it connected. The moment I pull it off, the system cuts out. Any ideas?
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