Isso é coberto (até certo ponto) por Dumbledore na conversa "King's Cross".
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A própria varinha de Voldemort não pode ser usada devido aos dois núcleos de penas Phoenix:
... Voldemort proceeded to attack you with a wand that shared a core with yours. And now something very strange happened, as we know. The cores reacted in a way that Lord Voldemort, who never knew that your wand was twin of his, had never expected.
... Your courage won, your wand overpowered his.
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Qualquer outra varinha "normal" não pode ser usada por Voldemort contra Harry:
“I believe that your wand imbibed some of the power and qualities of Voldemort’s wand that night, which is to say that it contained a little of Voldemort himself. So your wand recognized him when he pursued you, recognized a man who was both kin and mortal enemy, and it regurgitated some of his own magic against him, magic much more powerful than anything Lucius’s wand had ever performed. Your wand now contained the power of your enormous courage and of Voldemort’s own deadly skill: What chance did that poor stick of Lucius Malfoy’s stand?”
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E Death Stick não está na posse de Voldemort, ou ele não é seu verdadeiro mestre.
Especulação não-canônica - pode ser que ele também planejasse que Snape perdesse a varinha para Harry e transferisse a Maestria para Harry.