Question
A semiconductor has equal electron and hole concentration of 2 × 108/m3. On doping with a certain impurity, the hole concentration increases to 4 × 1010/m3.
  1. What type of semiconductor is obtained on doping?
  2. Calculate the new electron and hole concentration of the semiconductor.
  3. How does the energy gap vary with doping?

Answer

Given ne = 2 × 108/m3, nh = 4 × 1010/m3

  1. The majority charge carriers in doped semiconductor are holes, so semiconductor obtained is p-type semiconductor.

$\text{n}_\text{e}\text{n}_h=\text{n}^2_\text{i}$

$\Rightarrow\text{n}_\text{h}=\frac{\text{n}^2_\text{i}}{\text{n}_\text{h}}$

$=\frac{(2\times10^8)^2}{4\times10^{10}}=10^6/\text{m}^3$

  1. New electron concentration = 106/m3

Hole concentration = 4 × 1010/m3

  1. Energy gap decreases on doping.

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