Yes, the Burgers vector changes with the size of the Burgers circuit. As a typical vector, the vector has both magnitude and direction. Since the Burgers vector can be found using the Burgers circuit, it depends on its size:
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By Javier Bartolomé Vílchez (Autor de la imagen original: David Gabriel García Andrade) - Modificación de una imagen subida al Commons, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=4450178
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