final_fall04

# final_fall04 - Department of Electrical and Computer...

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Department of Electrical and Computer Engineering UNIVERSITY OF BRITISH COLUMBIA EECE 480—SEMICONDUCTOR DEVICES FINAL EXAM (December 17, 2004) Time: 2.5 hours ANSWER ALL FIVE QUESTIONS. This exam has 4 pages. No notes, calculators, or books allowed. 1. (10 marks) General: (a) Sketch the density of states in three dimensions. Be sure to label your axes appropriately. Specific numbers are not required. (b) Sketch the density of states in two dimensions. Be sure to label your axes appro- priately. Specific numbers are not required. (c) For a potential energy of the form U ( x ) = braceleftBigg α , x < 0 β , x > 0 , specify the appropriate matching condition(s) for the wavefunction at x = 0 if α negationslash = β , where α and β are finite constants. (d) Specify at least five boundary/matching conditions required when invoking the depletion approximation in order to solve Poisson’s equation for a pn -diode. (e) Sketch i. the charge density, ii. the electric field, and iii. the potential, as functions of position, in the depletion region of a pn

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