In a sample of pure silicon 10^13 atom/cm^3 is mixed of phosphorus.If all are active, then what will be the resistivity at 20 degree celsius if mobility of electron is 1200cm^2/v-s ?
 

 

Asked by Varshil | 23rd Apr, 2019, 08:54: PM

Expert Answer:

A s s u m i n g space t h e space c o n d u c t i v i t y space o f space t h e space i n t r i n s i c space S i space t o space b e space v e r y space l o w space i. e. space a l s m o s t space z e r o
N o. space space d e n s i t y space o f space d o n o r space a t o m space space n space space equals space 10 to the power of 13 a t o m divided by c m cubed
m o b i l i t y space o f space e l e c t r o n space i n space S i space space mu space equals space 1200 c m squared divided by v o l t space s
s o space c o n d u c t i v i t y space sigma space equals space n cross times e cross times mu space equals space 10 to the power of 13 cross times 1.6 cross times 10 to the power of negative 19 end exponent cross times 1200 space left parenthesis space e space i s space t h e space c h a t g e space i n space e l e c t r o n right parenthesis
space sigma space equals space 1920 cross times 10 to the power of negative 6 end exponent m h o divided by c m
s o space r e s i s t i v i t y space rho space equals space 1 over sigma space equals space fraction numerator 1 over denominator 1920 cross times 10 to the power of negative 6 end exponent end fraction space equals space 520.8 space o h m minus c m

Answered by Ankit K | 24th Apr, 2019, 12:00: AM

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