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The Hall coefficient of an intrinsic semiconductor is:
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- positive under all conditions
- negative under all conditions
- zero under all conditions
- zero at 0 K
Correct Option: B
The Hall coefficient is given by relation
RH = Ey Bz Jx = 1 3 nµh2 – µe2 p (p µn + nµe)2
For an intrinsic semiconductor
n = p = ni
we get, RH = 1 3 · µh 2 – µe2 (µh + µe)2
where,
µh = mobility of hole
µe = mobility of electron
n = no. of electrons
p = no. of holes Since µe > µh (always)
Hence, RH i.e. Hall coefficient of an intrinsic semiconductor is negative under all conditions.
