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mterm_fall04

# mterm_fall04 - Department of Electrical and Computer...

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Department of Electrical and Computer Engineering UNIVERSITY OF BRITISH COLUMBIA EECE 480—SEMICONDUCTOR DEVICES MIDTERM EXAM (October 19, 2004) Time: 75 minutes ANSWER PARTS 1 AND 2, AND ONLY ONE OF 3 OR 4. This exam has 2 pages. All parts have equal weight. No notes, calculators, or books allowed. 1. Short answer questions: (a) Specify the units for: i. the permittivity of free space, epsilon1 0 ; ii. the mobility, μ ; iii. the diffusivity, D ; iv. Planck’s constant, h ; v. potential energy; vi. potential. (b) Provide a description of what each of the following represents: i. f T ; ii. f max ; iii. ψ * ψ , where ψ is the wavefunction; iv. m * . (c) Sketch the one-dimensional dispersion relation for a particle under the effective-mass approxima- tion. (d) The drift-diffusion and continuity equations in a bulk semiconductor are: J h = α 1 qpμ h E + α 2 qD h p J e = α 3 qnμ e E + α 4 qD e n ∂p ∂t = α 5 1 q ∇ · J h + α 6 U ∂n ∂t = α 7 1 q ∇ · J e + α 8 U , where each α has unity magnitude. What are the signs of each α ?

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