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In a Hall effect experiment, a p-type semiconductor sample with hole concentration p1 is used. The measured value of the Hall voltage is VH1. If the p-type sample is now replaced by another p-type sample with hole concentration p2 where p2 = 2p1. What is the net Hall voltage VH2?
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- 2VH1
- 4VH1
- (1/2)VH1
- (1/4)VH1
- 2VH1
Correct Option: D
| Given, | = 0.4, = 4.2 x 108 = 4·2 × 108 atoms/m3 and ni = 1·5 × 104 atoms/m3 | µn |
| Given, | = ? | i |
We know that for n type semiconductor for conductivity is given by expression, and for intrinsic semiconductor
n = nq µn ........(i)
i = ni q (µn + µp) ........(ii)
from equation (i) & (ii)
| or | = | = | | = | | i | d | ni(µn + µp) | ni(1 + µp / µn) |
| or | = | i | 1.5 x 104(1 + 0.4) |
= 2 x 104 = 20,000
Hence alternative (D) is the correct choice.
