nicer circuits

08_bjt.tex

@@ -23,16 +23,16 @@ If  $V_{BC}<0$  extraction of electrons from B to C, of holes from C to B.
 Collector current,
 focus on electron diffusion in base:
 \begin{align}
-    n_{pB}(0) & =n_{pB_0}e^{\frac{qV_{BE}}{kT}}                                                     \\
-    n_{pB}(x) & =n_{pB}(0)(1-\frac{x}{W_B})                                                         \\[1em]
+    n_{pB}(0) & =n_{pB_0}e^{\frac{qV_{BE}}{kT}} \\
+    n_{pB}(x) & =n_{pB}(0)(1-\frac{x}{W_B})     \\[1em]
     \begin{split}
         J_{nB} &= qD_n\frac{\mathrm{d} n_{pB}}{\mathrm{d}x}\\
         &= -qD_n\frac{n_{pB}(0)}{W_B}
-    \end{split} \\
+    \end{split}                   \\
     \begin{split}
         I_C &=-J_{nB}A_E\\
         &=qA_E\frac{E_n}{W_B}n_{pB_0}e^{\frac{qV_{BE}}{kT}}
-    \end{split}                        \\
+    \end{split}                   \\
     I_C       & = I_Se^{\frac{qV_{BE}}{kT}}
 \end{align}
 Base current,
@@ -44,11 +44,11 @@ focus on hole injection and recombination in emitter:
     \begin{split}
         J_{pE}&=-qD_p\frac{\mathrm{d}p_{nE}}{\mathrm{d}x}\\
         &=-qD_p\frac{p_{nE(-x_{BE})-p_{nE_0}}}{W_E}
-    \end{split}                                                                                              \\
+    \end{split}                                                                                                                     \\
     \begin{split}
         I_B&=-J_{pE}A_E\\
         &=qA_E\frac{D_p}{W_E}p_{nE_0}\left( e^{\frac{qV_{VE}}{kT}} -1 \right)
-    \end{split}                     \\
+    \end{split}                                                                                                                     \\
     I_B                 & =\frac{I_S}{\beta}\left(e^{\frac{qV_{BE}}{kT}}-1\right)                                                                 \\
     I_B\approx\frac{I_C}{\beta}
 \end{align}
@@ -88,15 +88,15 @@ For reverse, it is the same but $\beta_R\approx [0.1,5]\ll\beta$.
 \subsection{Ebers-Moll model}
 \begin{center}
     \begin{circuitikz}
-        \draw (0,0) node[left] {B} to [short,*-] ++(1,0)
+        \draw (0,0) node[left] {B} to [short,o-*] ++(1,0)
         to [Do,l=$\frac{I_S}{\beta_R}\left( e^{\frac{qV_{BC}}{kT}} -1 \right)$] ++(0,2)
         to [short] ++(2,0)
         to [I,l=$I_S\left( e^{\frac{qV_{BE}}{kT}} - e^{\frac{qV_{BC}}{kT}} \right)$,i=$$] ++(0,-4)
         to [short] ++(-1,0);
         \draw (1,0) to [Do,l_=$\frac{I_S}{\beta}\left( e^{\frac{qV_{BE}}{kT}}-1 \right)$] ++(0,-2)
         to [short] ++(1,0)
-        to [short,-*] ++(0,-1) node [below] {E};
-        \draw (2,2) to [short,-*] ++(0,1) node[above] {C};
+        to [short,*-o] ++(0,-1) node [below] {E};
+        \draw (2,2) to [short,*-o] ++(0,1) node[above] {C};
     \end{circuitikz}
 \end{center}
 

09_bjt_small_signal.tex

@@ -8,9 +8,9 @@
         to [short] ++(2,0)
         to [R,l=$r_{o}$] ++(0,-2)
         to [short] ++(-2,0)
-        to [short,i=$i_e$,-o] ++(0,-1)node[below]{E}
+        to [short,i=$i_e$,*-o] ++(0,-1)node[below]{E}
         ++(2,3)
-        to [short,i<=$i_c$,-o] ++(1,0)  node[right]{C};
+        to [short,i<=$i_c$,*-o] ++(1,0)  node[right]{C};
         % to [open,v_=$v_{ce}$] ++(0,-2);
     \end{circuitikz}
     \begin{circuitikz}
@@ -21,7 +21,7 @@
         to [short,-o,i=$i_c$]++(1,0) node[right]{C}
         ++(-1,0) to[R,l_=$r_{o}$] ++(0,2)
         to [short] ++(-4,0)
-        to [R,l=$r{be}$,v=$v_{be}$] ++(0,-2)
+        to [R,l=$r_{be}$,v=$v_{be}$] ++(0,-2)
         to [short,i=$i_b$,-o] ++(-1,0)node[left]{B}
         ;
     \end{circuitikz}