a p-type semiconductor has a large number of holes but still it is elecrically neutral. why?

A p- type semiconductor is formed by doping pure germanium or silicon crystals with suitable impurity atoms of valence three. As the impurity atoms take the positions of germanium atoms in germanium crystal its 3 electrons form covalent bonds by sharing electrons with the neighbouring three atoms of germanium whereas the fourth covalent bond is left incomplete for want of one electron. This creates a hole. Since the atom on the whole is electrical neutral, the p- type semiconductor is also neutral.

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