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Official PYQ · 2026

GATE EC 2026 Set 1 Q54 — Electronic Devices

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Consider that the concentration of electrons in a semiconductor bar varies linearly from 2×1017 cm−32 \times 10^{17} \mathrm{~cm}^{-3} at x=1μ mx=1 \mu \mathrm{~m} to 1×1016 cm−31 \times 10^{16} \mathrm{~cm}^{-3} at x=4μ mx=4 \mu \mathrm{~m} along the xx-direction. Assume that the concentration of electrons is not varying along other directions (that is along yy - and zz-directions).

[Given: the mobility of electron is 1400 cm2 V−1 s−11400 \mathrm{~cm}^{2} \mathrm{~V}^{-1} \mathrm{~s}^{-1}, thermal voltage is 25 mV25 ~\text{mV} and electronic charge is 1.6×10−191.6 \times 10^{-19} Coulomb.]

The density of electron diffusion current (in A/mm2\mathrm{A} / \mathrm{mm}^{2} ) is ____\_\_\_\_.

(rounded off to two decimal places)
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Answer: -36.50:-34.50 OR 34.50:36.50

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