The Fermi energy level of an intrinsic semico | vedclass

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(A) The Fermi energy level $(E_F)$ is defined as the energy state where the probability of occupancy by an electron is exactly $50 \%$ or $0.5$ at any

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In the middle of the forbidden gap

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(A) The Fermi energy level $(E_F)$ is defined as the energy state where the probability of occupancy by an electron is exactly $50 \%$ or $0.5$ at any temperature.For an intrinsic semiconductor,the number of electrons in the conduction band $(n_e)$ is equal to the number of holes in the valence band $(n_h)$,i.e.,$n_e = n_h = n_i$.Since the effective mass of electrons and holes is approximately equal,the Fermi level lies exactly in the middle of the forbidden energy gap.Mathematically,$E_F = \frac{E_c + E_v}{2}$,where $E_c$ is the conduction band energy and $E_v$ is the valence band energy.

The Fermi energy level of an intrinsic semiconductor lies:

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