(a)
The mean free path of the electrons and the copper
(a)
Answer to Problem 47P
The mean free path of the electrons and the copper is.
Explanation of Solution
Given:
The concentration of doped n-type silicon sample is
The resistivity at
The effective mass of the electrons is
The density and resistivity of the copper is
Formula used:
The expression for the mean free path in terms of average velocity is given by,
The expression of the mean velocity of the electrons is given by:
Here, K is Boltzmann’s constant
The expression for the Fermi velocity is given by:
Calculation:
The mean free path of the conduction electrons is calculated as,
Substitute values in above expression,
The Fermi velocity of electrons in the copper is calculated as:
The number density of the copper is calculated as:
The free mean path is calculated as:
Both these mean free paths are within the
Conclusion:
Therefore, the mean free path of the electrons and the copper is
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Chapter 38 Solutions
Physics for Scientists and Engineers, Vol. 3
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- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning