Spoilers for Peter Jackson's *The Hobbit: An Unexpected Journey*:

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> In *The Hobbit: An Unexpected Journey*, the wizard Radagast encounters what appears to be the spirit of the Witch King of Angmar, as well as "the necromancer", who I assume is Sauron. Radagast defeats the spirit of the Witch King of Angmar and takes the Witch King's sword, which he subsequently hands over to Gandalf, who takes it to Rivendell. 
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The Witch King clearly has his sword in *The Fellowship of the Ring*. **How and when did he get his sword back?** Judging by the shape of the swords in the films, they appear to be the same one.

I've read *The Fellowship of the Ring* and *The Two Towers*, but have not read *The Silmarillion* or *The Return of the King*. I've seen Peter Jackson's *Lord of the Rings Trilogy* many times. I just got *The Hobbit: An Unexpected Journey* on BD this past Tuesday, so I'm pretty unfamiliar with it still. I.e. I'm not a Tolkien scholar, so please pardon me if this is an obvious question to those in the know.