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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 electric field at $x=0.5 \; \mu \mathrm{m}$ is

1. $1 \; \mathrm{kV} / \mathrm{cm}$
2. $5 \; \mathrm{kV} / \mathrm{cm}$
3. $10 \; \mathrm{kV} / \mathrm{cm}$
4. $26 \; \mathrm{kV} / \mathrm{cm}$