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GATE ECE 2010 | Question-53

Statement for Linked Answer Questions 52 and 53:

The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $T=300 \mathrm{~K}$, electronic charge $=1.6 \times 10^{-19} \mathrm{C}$, thermal voltage $=26 \; \mathrm{mV}$ and electron mobility $=1350 \mathrm{~cm}^{2} / \mathrm{V}-5$.


The magnitude of the electron drift current density at $x=0.5 \; \mu \mathrm{m}$ is

  1. $2.16 \times 10^{4} \mathrm{~A} / \mathrm{cm}^{2}$
  2. $1.08 \times 10^{4} \mathrm{~A}/{\mathrm{cm}^{2}}$
  3. $4.32 \times 10^{3} \mathrm{~A} / \mathrm{cm}^{2}$
  4. $6.48 \times 10^{2} \mathrm{~A} / \mathrm{cm}^{2}$
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