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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: $T=300\,\text{K}$, electronic charge $=1.6\times10^{-19}\,\text{C}$, thermal voltage $=26\,\text{mV}$, and electron mobility $=1350\,\text{cm}^2/\text{V-s}$. The magnitude of the electric field at $x=0.5\,\mu\text{m}$ is
- 1 kV/cm
- 5 kV/cm
- 10 kV/cm
- 26 kV/cm
Correct answer: 10 kV/cm
Solution
The applied voltage is $1\,\text{V}$ across a length of $1\,\mu\text{m}$. Thus the electric field magnitude is approximately $E=V/L=1/(10^{-6})=10^6\,\text{V/m}=10\,\text{kV/cm}$.
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