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In a P type silicon conductor ni= charge carrier concentration of 4.4×1019m−3. The density of dopant is 3.8×1024Atom/m3. The electron and hole mobility are 0.5 and 0.4 m2V−1s−1 respectively. What is the conductivity before and after addition of dopant respectively

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a

5.0×10−20Ω−1m−1 , 2.0×106Ω−1m−1

b

5.1×10−19Ω−1m−1 , 1.95×106Ω−1m−1

c

6.0×10−20Ω−1m−1 , 1.99×108Ω−1m−1

d

6.336 Ω−1m−1 , 2.432×105Ω−1m−1

answer is D.

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Detailed Solution

Conductivity before doping σ=nieμe+μh⇒σ=4.4×1019×1.6×10−190.4+0.5 ⇒σ=6.336 Ω−1m−1Conductivity after doping, σ=nhe μh=3.8×1024×1.6×1019×0.4=2.432×105Ω−1m−1

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