Deduce an mathematical expression for the carrier concentration of holes in valence band of an intrinsic semiconductor.
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Inside a semiconductor, electrons and holes are generated with thermal energy. The electron and hole concentration remain constant as long as the temperature remain constant. At temperature TK , in an intrinsic semiconductor n = p = ni where ni is called intrinsic concentration.
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The number of carriers in the conduction and valence band with no externally applied bias is called the equilibrium carrier concentration. For majority carriers, the equilibrium carrier concentration is equal to the intrinsic carrier concentration plus the number of free carriers added by doping the semiconductor.
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