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Q. If $N_{A}$ is number density of acceptor atoms added and $N_{D}$ is number density of donor atoms added to a semiconductor, $n_{e}$ and $n_{h}$ are the number density of electrons and holes in it, then

Semiconductor Electronics: Materials Devices and Simple Circuits

Solution:

Donor atoms increase number of conduction electron and must be added to available electrons.
Similarly for holes and acceptor atoms.
The equation is formed according to the law of electrical neutrality.