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Question

In an intrinsic semiconductor, the Fermi energy level is
  1. nearer to conduction band than valence band.
  2. bisecting the conduction band.
  3. equidistant from conduction band and valence band.
  4. nearer to valence band than conduction band.

A
nearer to valence band than conduction band.
B
equidistant from conduction band and valence band.
C
bisecting the conduction band.
D
nearer to conduction band than valence band.
Solution
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Fermi energy is determined as the energy point where the probability of occupancy by an electron is exactly 50 or 0.5, i.e., 12. For the intrinsic semiconductor, since electrons and holes are always created in pairs, n=p=ni. Hence, there are equal number of holes and electrons in valence band and conduction band respectively. Therefore, the Fermi energy level is equidistant from conduction band and valence band.

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