Take home midterm

Note added:  Please use scattering times of 10^-13 and 10^-10 instead of the ones suggested in the video.
Benchmark email due asap.
Solved problem due Monday, (May 9)

Problem 1 of your take-home midterm is presented in this video. I would suggesting starting asap and see if you get stuck anywhere. (Unless you are really clear on how to do all this already.)  Please post any comments or questions here, and please point out any mistakes, confusing points or lack of adequate specification. Thanks. I look forward to seeing your comments and getting your feedback and emails as you complete the early parts.
This video presents problem 1.
PS. Let's change the scattering times to 10^-10 and 10^-13.
 



Problem 2 is to calculate the diffusion current just outside the depletion region using the "ideal junction ansatz" with regard to the bifurcation of Ef and its value at the edge of the space-charge region. Calculate the current density as a function of voltage as a function of applied voltage on the right (p side) with the left (n) side grounded. Then also, evaluate that for V_a = 0.6 Volts and A= .01 cm^2.

Additional extra credit: (added Sunday night) At room temperature, what is the thermal velocity of a typical electron near the bottom of the conduction band?  Use that to calculate the length scale associated with each of the above scattering times. Discuss those length scales and their relevance to problem 2.

With regard to when it is due, let's say Thursday, and, additionally, your email regarding the numbers you get for n, p, Emax, x_d and V(0) is due Monday by 5 PM. Note that in this case x_d is a little more complicated than before; you can explain your notation in your email.

Extra credit warm-up problem: This will help everybody to have this I think. It is not too hard. Can someone calculate mu = e tau/m in cm^2/Volt-sec . Send me an email and then we will post something soon for everyone to see and use.