Please show all steps of your work and write the solution with your handwriting. Consider a semiconductor of length (L) equal to 12 µm. The current in this semiconductor only includes electron drift current and hole diffusion current (keep in mind that that the total current is constant and total current density is J= 4.8 A/cm²). In this semiconductor, no=101°cm3. However, hole concentration depends on the position with the following equation: p(x) =105 exp L cm If D,= 12 cm?/s and µ, = 1000 cm²/V-s, please calculate (i) hole diffusion current density (which will depend on x) (ii) electron current density as a function of x, and (iii) the electric field as a function of x. (iv) the electric field when x=2 µm and 8 µm.

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Please show all steps of your work and write the solution with your handwriting.
Consider a semiconductor of length (L) equal to 12 um. The current in this semiconductor only includes
electron drift current and hole diffusion current (keep in mind that that the total current is constant and total
current density is J= 4.8 A/cm²). In this semiconductor, no=1016cm3. However, hole concentration depends
on the position with the following equation:
-Xx
p(x) =10 exp
cm
If Dp= 12 cm?/s and Hn
= 1000 cm?/V-s, please calculate (i) hole diffusion current density (which will depend
on x) (ii) electron current density as a function of x, and (iii) the electric field as a function of x. (iv) the
electric field when x=2 µm and 8 um.
Transcribed Image Text:Please show all steps of your work and write the solution with your handwriting. Consider a semiconductor of length (L) equal to 12 um. The current in this semiconductor only includes electron drift current and hole diffusion current (keep in mind that that the total current is constant and total current density is J= 4.8 A/cm²). In this semiconductor, no=1016cm3. However, hole concentration depends on the position with the following equation: -Xx p(x) =10 exp cm If Dp= 12 cm?/s and Hn = 1000 cm?/V-s, please calculate (i) hole diffusion current density (which will depend on x) (ii) electron current density as a function of x, and (iii) the electric field as a function of x. (iv) the electric field when x=2 µm and 8 um.
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