The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge $=1.6 \times 10^{-19} \mathrm{C}$, thermal voltage $=26 \; \mathrm{mV}$ and electron mobility $=1350 \mathrm{~cm}^{2} / \text{V-s}.$
The magnitude of the electric field at $x=0.5 \; \mu \mathrm{m}$ is
- $1 \; \mathrm{kV} / \mathrm{cm}$
- $5 \; \mathrm{kV} / \mathrm{cm}$
- $10 \; \mathrm{kV} / \mathrm{cm}$
- $26 \; \mathrm{kV} / \mathrm{cm}$