added eintor liste

src/cheatsheets/Schaltungstheorie.typ

@@ -1,10 +1,13 @@
-#import "../lib/common_rewrite.typ" : *
 #import "@preview/mannot:0.3.1"
 #import "@preview/zap:0.5.0"
 #import "@preview/cetz:0.4.2" :*
 #import "@preview/cetz-plot:0.1.3"
 #import "../lib/circuit.typ" : *
 #import "@preview/unify:0.7.1": num,qty,unit
+#import "@preview/cetz-plot:0.1.3"
+
+#import "../lib/common_rewrite.typ" : *
+#import "../lib/circuit.typ" : *
 
 #set math.mat(delim: "[") 
 #show math.equation.where(block: true): it => math.inline(it)
@@ -109,7 +112,70 @@
   #bgBlock(fill: colorAllgemein)[
     #subHeading(fill: colorAllgemein)[Verschaltung]
 
+    $1/x_"ges" = 1/x_1 + 1/x_2 + 1/x_3 + ...$
 
+    $x_1 parallel x_2 = 1/(1/x_1 + 1/x_2) = (x_1 x_2)/(x_1 + x_2)$
+
+    $x_1 parallel x_2 parallel x_3 = (x_1 x_2 x_3)/(x_1 x_2 + x_2 x_3 + x_1 x_3)$
+
+    #table(
+      columns: (1fr, 1fr),
+      fill: (x, y) => if calc.rem(x, 2) == 1 { tableFillLow } else { tableFillHigh },
+
+      [*Serie*],
+      [*Reihe/Parrallel*], 
+      
+      
+      align(
+        horizon+center,
+        scale(100%,
+          zap.circuit({
+            import zap : *
+
+            resistor("R1", (0,0.375), (1.5,0.375), fill: none, width: 1, height: 0.4)
+            resistor("R2", (1.5,0.375), (3,0.375), fill: none, width: 1, height: 0.4)
+          })
+        )
+      ),
+      align(
+        horizon+center,
+        scale(
+          100%,
+          zap.circuit({
+            import zap : *
+
+            resistor("R1", (0,0), (2,0), fill: none, width: 1, height: 0.4)
+            resistor("R2", (0,0.75), (2,0.75), fill: none, width: 1, height: 0.4)
+            wire("R1.in", "R2.in")
+            wire("R1.out", "R2.out")
+
+            node("N2", (0,0.375))
+            node("N3", (2,0.375))
+
+            wire("N2", (rel: (-0.3, 0)))
+            wire("N3", (rel: (0.3, 0)))
+          }),
+        )
+      ),
+
+
+
+      $R_"ges" = R_1+R_2$,
+      $R_"ges" = R_1 parallel R_2$,
+      $G_"ges" = G_1 parallel G_2$,
+      $G_"ges" = G_1 + G_2$,
+      $L_"ges" = L_1 + L_2$,
+      $L_"ges" = L_1 parallel L_2$,
+      $C_"ges" = C_1 parallel C_2$,
+      $C_"ges" = C_1 + C_2$,
+
+      $U_"ges" = U_1 + U_2$,
+      $U_"ges" = U_1 = U_2$,
+      $I_"ges" = I_1 = I_2$,
+      $I_"ges" = I_1 + I_2$,
+      [In $U$-Richtung Addieren],
+      [In $I$-Richtung Addieren],
+    )
   ]
 
   // Quell Wandlung
@@ -134,7 +200,107 @@
     )
   ]
 
-  #colbreak()
+  // Lineare Quelle
+  #bgBlock(fill: colorEineTore)[
+    #subHeading(fill: colorEineTore)[Lineare Quelle]
+
+    #align(
+      center+horizon,
+      cetz.canvas({
+        import cetz.draw: *
+        import cetz-plot: *
+        plot.plot(size: (3, 3), name: "plot",
+            axis-style: "school-book",
+            x-label: "u", y-label: "i",
+            x-tick-step: none, y-tick-step: none,
+            axes: ("u", "i"),
+            x-min: -1, x-max: 2, x-grid: "both",
+            y-min: -2, y-max: 1, y-grid: "both", {
+          plot.add(((-2, -3), (3,2)))
+          plot.add-anchor("u0", (1,0))
+          plot.add-anchor("i0", (0,-1))
+        })
+
+        content("plot.u0", $U_0$, anchor: "south", padding: .2)
+        content("plot.i0", $-I_0$, anchor: "east", padding: .2)
+
+        mark("plot.u0", 0deg, symbol: "+", fill: black)
+        mark("plot.i0", 0deg, symbol: "+", fill: black)
+
+        line("plot.i0", (horizontal: "plot.u0", vertical: "plot.i0"), "plot.u0", stroke: (dash: "dashed", paint: rgb("#005c00")))
+
+        content((horizontal: "plot.u0", vertical: "plot.i0"), anchor: "south-west", text(rgb("#005c00"))[$R$], padding: 0.1)
+      })
+    )
+
+    $U_0$: LL-Spannung ($i = 0 => u = U_0$) \
+    $I_0$: KS-Strom ($u = 0 => i = -I_0$)
+
+    $R_i$: Innenwiderstand $R_i = U_0/I_0$ 
+
+    #table(
+      columns: (1fr, 1fr),
+      fill: (x, y) => if calc.rem(x, 2) == 1 { tableFillLow } else { tableFillHigh },
+      inset: 3mm,
+      align(center, [*$u$-gesteuert*]),
+      align(center, [*$i$-gesteuert*]),
+      
+      align(
+        horizon+center,
+        zap.circuit({
+          import zap : *
+          import cetz.draw
+
+          zap.resistor("R1", (1, 0), (1, -1.5), fill: none, width: 0.8, height: 0.3)
+          zap.isource("I0", (0, 0), (0, -1.5), fill: none, scale: 0.6, i: (content: $-I_0$, distance: 6pt, label-distance: -11pt, anchor: "west", invert: true))
+          node("N0", "R1.in")
+          node("N0", "R1.out")
+
+          wire("I0.out", "R1.out", (rel: (0.5, 0)))
+          wire("I0.in", "R1.in")
+          wire("R1.in", (rel: (0.5, 0)), i: (content: $i$, invert: true))
+
+          cetz.draw.content((0.62, -0.75), [$R$])
+          cetz.draw.set-style(mark: (end: ">", fill: black, scale: 0.6))
+          cetz.draw.content((1.7, -0.75), [$u$])
+          cetz.draw.line((1.5, -0.1), (1.5, -1.4), stroke: 0.5pt)
+        })
+      ),
+      align(
+        horizon+center,
+        zap.circuit({
+          import zap : *
+          import cetz.draw
+
+          zap.vsource("U0", (0, 0), (0, -1.5), fill: none, scale: 0.6, u: (content: $U_0$, distance: -4pt, label-distance: -8pt, anchor: "south-west", invert: true))
+          zap.resistor("R1", (0, 0), (1.75, 0), fill: none, width: 0.8, height: 0.3,
+            i: (content: $i$, invert: true, distance: 0.3)
+          )
+          wire((0, -1.5), (1.75, -1.5))
+      
+          cetz.draw.content((0.62, -0.75), [$R$])
+          cetz.draw.set-style(mark: (end: ">", fill: black, scale: 0.6))
+          cetz.draw.content((1.95, -0.75), [$u$])
+          cetz.draw.line((1.75, -0.1), (1.75, -1.4), stroke: 0.5pt)
+        })
+      ),
+
+      [
+        $u = R_i i + u_0$ \
+
+      ],
+      [
+        $i = 1/R_i u - I_0$
+      ],
+
+      table.cell(colspan: 2)[
+        #align($-->$)
+      ],
+      table.cell(colspan: 2)[
+        $<--$
+      ],
+    )
+  ]
 
   // Quell Wandlung
   #bgBlock(fill: colorEineTore)[
@@ -192,14 +358,14 @@
         
         $R_i=1/G_i$
 
-        $r(i) = R_i i + U_0$
+        $u = r(i) = R_i i + U_0$
       ],
       [
         $I_0 = U_0 G_i$
 
         $G_i=1/R_i$
 
-        $g(u) = G_i u + I_0$
+        $i = g(u) = G_i u + I_0$
       ]
     );
   ]
@@ -1071,12 +1237,16 @@
       $E_L = Phi^2/2L = (L i^2)/2$
     ],
     [
-      $C$: Admetanz $hat(=) G$
+      $C$: Admittanz $hat(=) G$
     ], [],
     [
       $L$: Impedanz $hat(=) R$
     ]
     )
+
+    Admittanz: $Y = I/U$\
+    Impedanz: $Z = U/I$
+
   ]
 
   // Reaktive Dual Wandlung
@@ -1121,30 +1291,33 @@
       U_"ges"^2 = U_1^2 + 2 U_1 U_2 + U_2^2 \
       tan(phi) = (U_2 sin(phi))/(U_1 + U_2 cos(phi))
     $
+  ]
 
-    *Levi's Lustig Leistung*
+  #bgBlock(fill: colorComplexAC)[
+    #subHeading(fill: colorComplexAC)[*Levi's Lustig Leistung*]
 
-    $underline(S) = underline(U) dot underline(I)^*$\
+    $P = 1/2 U dot I^*$\
 
     #table(
       columns: (auto, 1fr, auto),
-      [Scheinleitsung], [$abs(underline(S))$], [$["VA"]$],
-      [Wirkleistung], [$P = "Real"(underline(S)) $], [$["W"]$],
-      [Blindleistung], [$Q = "Imag"(underline(S))$], [$["var"]$]
+      fill: (x, y) => if calc.rem(y, 2) == 0 { tableFillLow } else { tableFillHigh },
+      [Scheinleitsung], [$(P_s =) space abs(underline(S))$], [$["VA"]$],
+      [Wirkleistung], [$(P_w =) space P = "Re"{} $], [$["W"]$],
+      [Blindleistung], [$(P_b =) space Q = "Im"{}$], [$["var"]$]
     )
+
+    Bei Wiederstand: $R$
+
+    $P_w = U_m^2 / 2R = (I_m^2 R)/2$
+
+    $U_"eff" = U_m/sqrt(2), I_"eff" = I_m / sqrt(2)$
   ]
 
   // Komplexe Zahlen
   #bgBlock(fill: colorAllgemein)[
     #subHeading(fill: colorAllgemein)[Komplexe Zahlen]
 
-    #grid(
-      columns: (auto, auto),
-      row-gutter: 2mm,
-      column-gutter: 3mm,
-      [Euler-Darstellung], $A e^(j phi)$,
-      [Catesiche-Darstellung], $a + b j$
-    )
+    #ComplexNumbersSection(i: $j$)
 
 
   ]
@@ -1168,6 +1341,8 @@
       columns: (auto, auto, auto, auto),
       inset: 2mm,
       align: horizon,
+      fill: (x, y) => if calc.rem(y, 2) == 1 { rgb("#c5c5c5") } else { white },
+
       table.header([], [*Ein-Tor*], [*Zwei-Tor*], [*Reaktive Elemente*]),
       [*passiv*\ (nimmt Energie auf)\ $not$aktiv],
       [$forall (u,i) in cal(F): u dot i >= 0$],