HMK 6 Solutions

# HMK 6 Solutions - EEE 352FAll 2009 Homework 6 3.27 Plot the...

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EEE 352—FAll 2009 Homework 6 3.27 Plot the Fermi-Dirac distribution function, given by eqn. (3.79), over the energy range -0.2 < E-E F < 0.2 eV for (a) T = 200 K, (b) T = 300 K, and (c) T = 400 K. 0 0.2 0.4 0.6 0.8 1 -0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15 0.2 200 300 400 Probability E - E F 3.30 Determine the probability that an energy level is occupied by an electron if the state is above the Fermi level by (a) kT, (b) 5kT, (c) 10kT. (a) P = 1 1 + exp E E F k B T Λ Ν Μ Ξ Π Ο = 1 1 + exp(1) = 0.27 (b) P = 1 1 + exp E E F k B T Λ Ν Μ Ξ Π Ο = 1 1 + exp(5) = 6.7 × 10 3

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(c) P = 1 1 + exp E E F k B T Λ Ν Μ Ξ Π Ο = 1 1 + exp(10) = 4.5 × 10 5 . 4.3 Plot the intrinsic carrier concentration for a temperature range of 200 < T < 600 K for (a) silicon, (b) germanium, and (c) gallium arsenide. Using Table B.4, we find that the effective density of states and gap for the three materials are given by Si Ge GaAs N c 2.8 x 10 19 1.04 x 10 19 4.7 x 10 17 N v 1.04 x 10 19
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HMK 6 Solutions - EEE 352FAll 2009 Homework 6 3.27 Plot the...

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