(a) A silicon $\mathrm{p}-\mathrm{n}$ junction at 300 K is doped with impurity concentration of $\mathrm{N}_{\mathrm{a}}=5 \times 10^{16} \mathrm{~cm}^{-3}$ and $\mathrm{N}_{\mathrm{d}}=2 \times 10^{16} \mathrm{~cm}^{-3}$. The junction is forward biased at $\mathrm{V}_{\mathrm{F}}=0.610 \mathrm{~V}$. Determine the minority carrier concentrations at the edge of the space charge region.

Explanation

The Shockley diode equation is a fundamental equation in semiconductor physics that describes the current-voltage characteristics of a p-n junction.