In tin at room temperature, the mobility of mobile electrons is about 1.5 ✕ 10⁻³ (m/s)/(V/m), and there are about 3.7 ✕ 10²⁸ mobile electrons per m³. Calculate the conductivity σ. In actual practice, it is usually easier to measure the conductivity σ and deduce the mobility u from this measurement.

Respuesta :

Answer:

[tex]\sigma = 8.88 \times 10^6 \frac{1}{ohm-m}[/tex]

Explanation:

As we know that mobility of electrons is given as

[tex]\mu = \frac{v_d}{E}[/tex]

now we also know that

[tex]j = \sigma E[/tex]

here we know

[tex]j = ne v_d[/tex]

[tex]ne v_d = \sigma E[/tex]

so we have

[tex]\sigma = ne \frac{v_d}{E}[/tex]

[tex]\sigma = (3.7 \times 10^{28})(1.6 \times 10^{-19})(1.5 \times 10^{-3})[/tex]

[tex]\sigma = 8.88 \times 10^6 \frac{1}{ohm-m}[/tex]

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