A silicon crystal having a cross-sectional area of

Lilliana Livingston 2022-07-19 Answered
A silicon crystal having a cross-sectional area of 0.001   c m 2 and a length of 10 3   c m is connected at it's ends with 10v battery at temperature 300   K, when the current is 100mA. Find the resistivity and the conductivity?
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Answers (1)

Deacon Nelson
Answered 2022-07-20 Author has 13 answers
Solution:
Given: ( A ) a r e a = 0.001   c m 2 ( l ) l e n g t h = 10 3   c m V o l t a g e ( V ) = 10   v C u r r e n t = 100 m A = 100 × 10 3   A
We know that
R = V I  and  R = ρ l A
Where \rho=resistivity
V I = ρ l A ρ = V A I l = ( 10 ) ( 0.001 ) ( 100 × 10 3 ) ( 10 3 ) ρ = 100   Ω m
Conductivity  ( σ ) = 1 ρ = 1 100 = 0.01 ( Ω m ) 2 σ = 0.01 ( Ω m ) 1
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