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?

Question

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&#039;s ends with 10v battery at temperature       300          ∘           K, when the current is 100mA. Find the resistivity and the conductivity?

Deacon Nelson · Accepted Answer

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

A silicon crystal having a cross-sectional area of

Answered question

Answer & Explanation

New Questions in Electric current