Problem 4 (25 points)
Consider a silicon pn junction at T = 300 K, NA = 1x10^17 cm^-3, Np = 1x10^16 cm^-3. The minority carrier lifetimes are tn = 1 us and tp = 1 s. The minority carrier diffusion coefficients are Dn = 25 cm^2/s, Dp = 10 cm^2/s. ni = 1.5x10^10 cm^-3, KT = 0.026V.
Low-level injection is defined to be when the minority carrier concentration at the edge of the space charge region becomes equal to one-tenth the majority carrier concentration.
Determine the value of the voltage across the pn junction at which the limit of the low-level injection is reached.