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Draw (with proper labeling of relevant energy values and and distances) the simplified band diagram of a semiconductor with a band gap of 3 eV which is subjected to the following electrostatic potential profile: constant potential of OV from x = 0 to 1 µm; a linear decrease from 0V to -0.8V from 1 um to 5 µm. Then consider launching an electron to the right, at x=0 with a kinetic energy of leV. Assuming there is no scattering, what is the electron's kinetic energy at x = 5 µum? If the effective mass of this electron is half of the free electron's mass, the semiconductor is doped with donors at a level of 10'5 cm³, and the cross-sectional area of the semiconductor is 0.01cm², find the electron drift current I (in units of amperes) at x = 5um?

Draw (with proper labeling of relevant energy values and and distances) the simplified band diagram of a semiconductor with a band gap of 3 eV which is subjected to the following electrostatic potential profile: constant potential of OV from x = 0 to 1 µm; a linear decrease from 0V to -0.8V from 1 um to 5 µm. Then consider launching an electron to the right, at x=0 with a kinetic energy of leV. Assuming there is no scattering, what is the electron's kinetic energy at x = 5 µum? If the effective mass of this electron is half of the free electron's mass, the semiconductor is doped with donors at a level of 10'5 cm³, and the cross-sectional area of the semiconductor is 0.01cm², find the electron drift current I (in units of amperes) at x = 5um?

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Draw (with proper labeling of relevant energy values and and distances) the simplified band diagram of a semiconductor with a band gap of 3 eV which is subjected to the following electrostatic potential profile: constant potential of OV from x = 0 to 1 µm; a linear decrease from 0V to -0.8V from 1 um to 5 µm. Then consider launching an electron to the right, at x=0 with a kinetic energy of leV. Assuming there is no scattering, what is the electron's kinetic energy at x = 5 µum? If the effective mass of this electron is half of the free electron's mass, the semiconductor is doped with donors at a level of 10'5 cm³, and the cross-sectional area of the semiconductor is 0.01cm², find the electron drift current I (in units of amperes) at x = 5um?
Transcribed Image Text:Draw (with proper labeling of relevant energy values and and distances) the simplified band diagram of a semiconductor with a band gap of 3 eV which is subjected to the following electrostatic potential profile: constant potential of OV from x = 0 to 1 µm; a linear decrease from 0V to -0.8V from 1 um to 5 µm. Then consider launching an electron to the right, at x=0 with a kinetic energy of leV. Assuming there is no scattering, what is the electron's kinetic energy at x = 5 µum? If the effective mass of this electron is half of the free electron's mass, the semiconductor is doped with donors at a level of 10'5 cm³, and the cross-sectional area of the semiconductor is 0.01cm², find the electron drift current I (in units of amperes) at x = 5um?
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