ECE G201 H.W. #3, Due February 10, 2008

Note: Most of these problems are very quick. The last two are more challenging!

1. 1.10, text.

2. 1.11, text.

3. 1.12, text.

4. 1.21, text.

5. 2.1, text.

6. 2.4, text.

7. 2.5, text.

8. 2.6, text.

9. 2.7, text.

10. 2.11, text.

11. 2.13, text.

12. 2.15, text

13. 2.18, text

14. 2.22, text

15. 2.26, text

16. 2.29, text.

17. 2.34, text.

18. 2.37, text.

19. 2.44, text

20. S1B.2, text

21. For silicon doped with Phosphorus at 10¹⁴ cm^-3, at what temperature are half of the donors ionized. (This is easier than it appears!)

22. A particle of mass ma and fixed energy E is confined to a two-dimensional infinite potential well, as discussed in class. The x and y side lengths of the well are a and b (or Lx and Ly or ...), respectively. Also, the potential energy, Ep, is constant everywhere inside the well. Assuming the side-lengths of the box are large, derive an expression for the density of states (S(E)) for the particle. This problem is covered both in Pierret and in our text, Appendix D.

23. (4.3, Pierret - reference) Link Here