Why is the product of n0 and po always a constant for a given

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The product of n0 (electron concentration) and po (hole concentration) remains constant for a given semiconductor due to the principle of charge neutrality and the intrinsic properties of the material. In intrinsic semiconductors, n0 equals po, leading to the equation n0 * po = ni^2, where ni is the intrinsic carrier concentration. For extrinsic semiconductors, the carrier concentration is influenced by temperature, but it is essential to consider both electrons and holes when discussing the overall carrier concentration. The discussion emphasizes the relationship between these variables and their dependence on the semiconductor type. Understanding these concepts is crucial for analyzing semiconductor behavior in various applications.
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Why is the product of n0 and po always a constant for a given semiconductor?
I mean i can agree for an intrinsic semiconductor that n0=po therefore n0*p0=ni^2.
Also for an extrinsic semiconductor the carrier concentration "ni" is a function of temperature agreed! But for that concentration what do we take into account? electrons or holes or both?
 
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Also i know for an intrinsic semiconductor n0=p0=ni.
 
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