First slide

Classification of Metals, semiconductors and insulators

Question

Given density of carriers is $1 \cdot 6 \times 10^{10} / {cm}^{3}$ carrier mobilities for electrons and holes at 300 K ale 1500 and 500 ${cm}^{2} / volt - \sec$ electronic charge $= 1 \cdot 602 \times 10^{- 19} C$ Then the resistivity at 300 K is

Moderate

A

$180 kΩ - cm$
B

$160 kΩ - cm$
C

$150 kΩ - cm$
D

$195⋅1kΩ−cm$

Solution

$σ = n e [μ_{e} + μ_{h}] σ = (1 \cdot 6 \times 10^{10}) \times (1 \cdot 602 \times 10^{- 19}) [1500 + 500] = 5 \cdot 13 \times 10^{- 6} / Ω - c m at 300 K Resistivity = \frac{1}{σ} = \frac{1}{5 \cdot 13 \times 10^{- 6}} = 0 \cdot 1951 \times 10^{6} = 195 \cdot 1 k Ω - c m$

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