Commit 28bb614e authored by Isidora Araya's avatar Isidora Araya
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Update 14_doping_and_devices_solutions.md

parent 3d1873df
......@@ -36,14 +36,12 @@ Check both cases with lecture notes approximated solutions by doing a Taylor exp
If all the dopants are ionized, the Fermi level gets shifted up towards the conduction band.
This result can be obtained when using results in Exercise 1 - Subquestion 2 and the following:
$$ n_D \approx 0$$
$$ n_e - n_h = N_D - N_A $$
### Subquestion 2
Now,
$$ n_D^{\ast} = N_D (1-\frac{1}{e^({E_D-E_F})/k_BT+1})$$
$\ast$ indicates non-ionized concentrations.
$$ n_D = N_D\frac{1}{e^({E_D-E_F})/k_BT+1} $$
### Subquestion 3
??? hint "how?"
......
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