For Ge semiconductor, assume the Fermi energy level is 0.1 eVbelow the conduction band energyEc. Let the absolute temperature T for items i and ii be 200 K.i. Find the number of quantum states between Ec and Ec+0.1x4.6xkbT.ii.Determine the probability of a state being empty of an electronat Ec+0.1x4.6x kbT.ii. Find the temperature at which there is an electron at the stateEc+0.01x4.6xkbT with probability 30%.iv. Repeat item iii by using the Boltzmann approximation ratherthan theFermi-Dirac distribution.v. Find the difference in temperature between items iii and ivabove and express this difference aspercentage.

teperature, T=200 KEc=conduction bondfermi level is 0.1 ev below Ec

For Ge semiconductor, assume the Fermi energy level is 0.1 eV below the conduction band energy Ec. Let the absolute temperature T for items i and ii be 200 K. i. Find the number of quantum states between Ec and Ec +0.1x4.6xkbT. ii.Determine the probability of a state being empty of an electron at Ec+0.1x4.6x kbT. iii. Find the temperature at which there is an electron at the state Ec+0.01x4.6× kbT with probability 30%. iv. Repeat item iii by using the Boltzmann approximation rather than the Fermi-Dirac distribution. v. Find the difference in temperature between items iii and iv above and express this difference as percentage.

For Ge semiconductor, assume the Fermi energy level is 0.1 eV below the conduction band energy Ec. Let the absolute temperature T for items i and ii be 200 K. i. Find the number of quantum states between Ec and Ec +0.1x4.6xkbT. ii.Determine the probability of a state being empty of an electron at Ec+0.1x4.6x kbT. iii. Find the temperature at which there is an electron at the state Ec+0.01x4.6× kbT with probability 30%. iv. Repeat item iii by using the Boltzmann approximation rather than the Fermi-Dirac distribution. v. Find the difference in temperature between items iii and iv above and express this difference as percentage.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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