Why does battery say 100% charged but Inspiron E1505 dies instantly if AC Adaptor unplugged?

Is it the battery or the AC Adaptor - or worse? Dell Inspiron 1505 battery shows 100% charge but unplug the AC Adaptor and it dies instantly. Won't reboot on battery alone.

Have tried a different adaptor (both are Dell), but since battery says it's at 100%, that doesn't change. Of course I'm 2 months past the 1 yr warranty... but it's the uber-expensive 85 WHr 9-Cell Smart Lithium-Ion Primary Battery for Dell Inspiron E1505 Laptops. I'm not really wanting to spend $300 to replace the damn battery when it's only 14 months old.
 
sad I’m disillusioned
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