A n-type silicon sample of width 4×10^–3m, thickness 25×10^–5m and length 6×10^–2m carries a current of 4.8mA when the voltage is applied across the length of the sample. If the free electron density is 10²²m^–3, then find how much time does it take for the electrons to travel the full length of the sample ? Given that charge on an electron e = 1.6×10^–19C.

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answer is D.

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Detailed Solution

$Current density j = \frac{i}{A} j = \frac{4.8 \times 10^{- 2}}{4 \times 10^{- 3} \times 25 \times 10^{- 5}} j = 48 \times 10^{2}; i = {neAV}_{d} \Rightarrow j = {neV}_{d} V_{d} = \frac{j}{ne} = \frac{48 \times 10^{2}}{10^{22} \times 16 \times 10^{- 20}} V_{d} = 3 m / s t = \frac{L}{V_{d}} = \frac{6 \times 10^{- 2}}{3} = 2 \times 10^{- 2} \sec$

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