A block of pure Si at 300 K has a length of 10 cm and an area of cross-section 1 cm2. A battery of emf  2V is connected across it. The mobility of electrons is 0.14 m2V–1s–1 and their number density is 1.5×1016 m–3. The electron current is:- 

A block of pure Si at 300 K has a length of 10 cm and an area of cross-section 1 cm2. A battery of emf  2V is connected across it. The mobility of electrons is 0.14 m2V–1s–1 and their number density is 1.5×1016 m–3. The electron current is:- 

  1. A

    6.72×104A

  2. B

    6.72×105A

  3. C

    6.72×106A

  4. D

    6.72×107A

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    Solution:

    E=Vl=2V0.1m=20Vm1

    A=1.0cm2=1.0×104m2

    vd=μeE=0.14×20=2.8ms1

    I=neAVd=1.5×1016×1.6×1019×1.0×104×2.8=6.72×107A

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