From bdf883f0b51eb2213ba332958dc0a8e94b710f2b Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Simon=20Th=C3=BCr?= <thuer.simon@hotmail.com>
Date: Tue, 11 Apr 2023 17:24:13 +0200
Subject: [PATCH] fixes
---
01_fundamentals.tex | 2 +-
02_carrier_transport.tex | 9 ++++++---
2 files changed, 7 insertions(+), 4 deletions(-)
diff --git a/01_fundamentals.tex b/01_fundamentals.tex
index 0952adb..e0d9ba2 100644
--- a/01_fundamentals.tex
+++ b/01_fundamentals.tex
@@ -50,6 +50,6 @@ For doners we have:
Every semiconductor is neutral,
which imposes the following condition:
\begin{equation}
- P_0-n_0+N_d + N_a = 0
+ P_0-n_0 + N_d - N_a = 0
\end{equation}
where $p_0n_0=n_i^2$.
\ No newline at end of file
diff --git a/02_carrier_transport.tex b/02_carrier_transport.tex
index 51d5be0..d068b2b 100644
--- a/02_carrier_transport.tex
+++ b/02_carrier_transport.tex
@@ -8,7 +8,7 @@ but heres the probability distribution:
f(E) = \frac{1}{1+e^{(E-E_F)/kT}}
\end{equation}
-Electron concentration in conductance band:
+Electron concentration in conduction band:
\begin{equation}
n=N_ce^{-(E_c-E_f)/kT}
\end{equation}
@@ -62,8 +62,11 @@ For the sake of simplicity, let's define mobility for both holes and electrons.
\subsection{Drift current}
For the net drift current density slap together velocity, density and charge.
\begin{equation}
- label{eq:drift_current}
- J^{drift} = J_n^{drift}+J_p^{drift} = q(n\mu_n+p\mu_p)E
+ \label{eq:drift_current}
+ \begin{split}
+ J^{drift} &= J_n^{drift}+J_p^{drift} \\
+ &= q(n\mu_n+p\mu_p)E
+ \end{split}
\end{equation}
From which we can find Ohm's law:
\begin{alignat}{2}
--
GitLab