Well, in Attack of the Clones, he lost his right arm in a duel with the Sith Lord, Count Dooku back when he was a Jedi. However, in Revenge of the Sith he loses his left arm in a duel with his old Jedi master Obi-Wun Kenobi when he's then was turned to the Dark Side.
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The character's name is Darth Vader, not dark Vader.
Darth Vader
Darth Vader, in German, means 'Dark Father'. Darth, because he was on the sith side. Vader, because he had 2 children coming.