mr boom or can i call you babab, you are correct in your asumption.
mandrake if by some chance you have misplaced said piece then all is not lost as you can always use a bit of dramatic tension to keep your wand whole like.
if you have shown the wand whole then palmed off the bit, then its a fairly easy matter to reintrodiuce it as you nicely admonish the spec for breaking said wand.
oh did i mention i have one and use it in my acts along with a large wand for big tricks
pm me if you want any clearer advice cheers jason.