Step 1: We know that the intrinsic carrier concentration, \(n_i\), is given by the following formula:
\(n_i = \sqrt{N_C N_V} e^{-\frac{E_g}{2kT}}\)
where \(N_C\) and \(N_V\) are the effective densities of states in the conduction and valence bands, respectively,
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