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I understood that the fermi level is a hypothetical energy level given by the Fermi-Dirac distribution where the probability of finding an electron is exactly 50%. My question is: it always takes (Ec-Ev) energy to excite the electrons in the conduction band in an intrinsic semiconductor or (Ec-Ed), (Ec-Ea) for extrinsic semiconductors then what is the usefulness of knowing the Fermi level in the semiconductor? Why can't we do without the Fermi level.