Extra credit problem & added special bonus.

I though of an interesting extra credit problem to add to the HW today. That problem is really not as hard as it looks. There is also a special bonus problem added that involves calculating/estimating a current in amperes.


Here is a hint for that problem:

Additional though:
At the end of all your work on the junction, I think that when the initial doping implies a 0.6 eV offset in Ef from the n to the p sides, then you will ultimately end up with something of the form:
\(E_c (x) = 1 eV + 0.3 eV (x+x_d)^2/x_d^2\)
for x less than zero and greater than -x_d. Does that make correspond with what you got? (of course you have to calculate the value of \(x_d\) that creates that and allows the bands to line up.)

Then for x greater than zero and less than x_d perhaps you would get:
\(E_c (x) = 1.6 eV - 0.3 eV (x-x_d)^2/x_d^2\) ?
Does that line up properly with the other side, produce the required amount of offset and have the correct functional form?