The resistivity of a metallic, single-walled carbon nanotube is 2.30 ✕ 10−8 Ω · m. The electron number density is 6.60 ✕ 1028 m−3. What is the mean free time for the electrons flowing in a current along the carbon nanotube?

Respuesta :

Answer:

  The mean free time is given as z  [tex]= 2.3*10^{-14}sec[/tex]

Explanation:

Generally the formula for resistivity

                 [tex]\rho = \frac{m_e}{e^2 n_ez}[/tex]

Where

              [tex]\rho[/tex] is he resistivity of metal

              [tex]m_e[/tex]  is the mass of the electron

             [tex]e[/tex]  is the charge of the electron

             [tex]n_e[/tex] is  electron density

            [tex]z[/tex] is the mean free time

  Now making z the subject  of the formula

              =>  [tex]z = \frac{m_e}{e^2n_e\rho}[/tex]

    Substituting the given values

           [tex]z = \frac{9*10^{-31}}{(1.6*10^{-19}(16.1*10^{28}(2.5*10^{-8})))}[/tex]

                [tex]= 2.3*10^{-14}sec[/tex]

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