The charge carries which have the greatest mobility are the _______.

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DFCCIL Executive (Electrical) Official Paper (Held On: 11 Nov, 2018 Shift 2)
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  1. electrons
  2. positive ions
  3. holes
  4. negative ions

Answer (Detailed Solution Below)

Option 1 : electrons
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Detailed Solution

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Explanation:

  • Ions are immobile charges; So, they don't have any mobility
  • Electrons and holes are mobile charge carriers
  • The mobility of electrons is 2.5 to 3 times the mobility of holes
  • The mobility of electrons and holes depends on their effective masses.
  • The effective mass of electrons is less than that of holes hence electrons have higher mobility than holes.

 

Ge

Si

Electron mobility

\(3800\frac{{c{m^2}}}{{V - sec}}\)

\(1300\frac{{c{m^2}}}{{V - sec}}\)

Hole

mobility

\(1800\frac{{c{m^2}}}{{V - sec}}\)

\(500\frac{{c{m^2}}}{{V - sec}}\)

 

For \({\rm{Ge}} = \frac{{{\mu _e}}}{{{\mu _h}}} = \frac{{3800}}{{1800}} = 2.11\)

For \({\rm{Si}} = \frac{{{\mu _e}}}{{{\mu _h}}} = \frac{{1300}}{{500}} = 2.6\)

For both Ge & Si  μe > 2μh

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