corrections matrix

src/cheatsheets/Schaltungstheorie.typ

@@ -1760,6 +1760,7 @@
           - Quellenfrei
           - Ungepolt
         - Resitiv, Induktiv, Kapazitiv, Memristiv
+        - Passiv
       ],
 
       // Norator
@@ -1799,6 +1800,7 @@
           - Quellenfrei
           - Ungepolt
         - Resitiv, Induktiv, Kapazitiv, Memristiv
+        - Aktiv
       ],
   table.hline(),
 
@@ -1837,6 +1839,7 @@
       ],
       align(left+top)[
         - Verlustlos
+          - Passiv
         - Streng linear
           - Linear
           - Quellenfrei
@@ -1877,6 +1880,7 @@
       ],
       align(left+top)[
         - Verlustlos
+          - Passiv
         - Streng linear
           - Linear
           - Quellenfrei
@@ -2281,13 +2285,38 @@
 
     })], 
     [
-      - Verlustlos
       - Reziprok
-      - Passiv
+      - Aktiv
       - Symetrisch
     ], [$ A = mat(0, 0; 0, 0) $],
 
-    [OpAmp \ $U_"sat+"$\ (4-polig)], opampSymbol, [], [], [],
+    [OpAmp \ linear Bereich \ (4-polig)], opampSymbol, [#zap.circuit({
+      import zap: *
+      import cetz.draw: content, line, rect
+
+      joham.nullator("a", (0,0), (0,1.5), scale: 0.5)
+      joham.norator("b", (0.5,0), (0.5,1.5), scale: 0.5)
+
+      wire("a.in", (rel: (-0.5, 0)))
+      wire("a.out", (rel: (-0.5, 0)))
+      wire("b.in", (rel: (0.5, 0)))
+      wire("b.out", (rel: (0.5, 0)))
+
+      node("N1", (rel: (-0.5, 0), to: "a.in"), fill: false, label: (content: text($beta$, fill: rgb("#8b2000")), anchor: "west", distance: 0.05))
+      node("N2", (rel: (-0.5, 0), to: "a.out"), fill: false, label: (content: text($alpha$, fill: rgb("#8b2000")), anchor: "west", distance: 0.05))
+      node("N3", (rel: (0.5, 0), to: "b.in"), fill: false, label: (content: text($delta$, fill: rgb("#00318b")), anchor: "east", distance: 0.05))
+      node("N4", (rel: (0.5, 0), to: "b.out"), fill: false, label: (content: text($gamma$, fill: rgb("#00318b")), anchor: "east", distance: 0.05))
+
+      joham.voltage("N2", "N1", $u_d$)
+      joham.voltage("N4", "N3", $U_"out" = "bel."$, anchor: "west")
+
+    })], [
+      - Reziprok
+      - Aktiv
+      - Symetrisch
+    ], [
+      Für $u_d = 0 <=> abs(u_"out") < U_"sat"$ \
+    ],
 
     [OpAmp \ $U_"sat+"$], opampSymbol, [#zap.circuit({
       import zap : wire, vsource, node
@@ -2309,7 +2338,7 @@
 
       node("c", (1.3,1), fill: false, label: (content: text($gamma$, fill: rgb("#00318b")), anchor: "east", distance: 0.05))
       node("d", (1.3,0), fill: false, label: (content: text($delta$, fill: rgb("#00318b")), anchor: "east", distance: 0.05))
-    })], [], [],
+    })], [], [Für $u_d > 0$],
 
     [OpAmp \ $U_"sat-"$], opampSymbol, [#zap.circuit({
       import zap : wire, vsource, node
@@ -2330,7 +2359,7 @@
 
       wire((1,1), (1.3,1))
       wire((1,0), (1.3,0))
-    })], [], [],
+    })], [], [Für $u_d < 0$],
 
     [VCVS], [#zap.circuit({
       import zap : vsource, node, disource, dvsource, wire
@@ -2591,12 +2620,17 @@
     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],
+    [*passiv*\ (nimmt Energie auf)\ $<=> not$aktiv],
-    [$forall (u,i) in cal(F): u dot i >= 0$],
+    [$forall (u,i) in cal(F): u dot i >= 0$
+
+      Verlustlos $=>$ Passiv
+    ],
     [
-      $jMat(U)^T jMat(I) + jMat(I)^T jMat(U) = 0$\
+      $jMat(U)^T jMat(I) + jMat(I)^T jMat(U) >= 0$\
       $forall vec(jVec(u), jVec(v)) in cal(F) : jVec(u)^T jVec(i) >=0 \
-      jMat(G) = - jMat(G)^T quad jMat(R) = - jMat(R)^T$
+      jMat(G) = - jMat(G)^T quad jMat(R) = - jMat(R)^T$ \
+      Verlustlos $=>$ Passiv
+      
     ],
     [],
 
@@ -2606,7 +2640,10 @@
 
       Kennline nur $u\/i$-Achsen
     ],
-    [$forall vec(jVec(u), jVec(v)) in cal(F) : jVec(u)^T jVec(i) = 0$],
+    [$
+    jMat(U)^T jMat(I) + jMat(I)^T jMat(U) = 0  \
+    forall vec(jVec(u), jVec(v)) in cal(F) : jVec(u)^T jVec(i) = 0 \
+    $],
     grid(columns: (auto, auto), 
       column-gutter: 5mm,
     [
@@ -2697,8 +2734,8 @@
     $bold(G) quad mat(S, S; S, S)$,
     $bold(H) quad mat(Omega, 1; 1, S)$,
     $bold(H') quad mat(S, 1; 1, Omega)$,
-    $bold(A) quad mat(S, 1; 1, Omega)$,
+    $bold(A) quad mat(1, Omega; S, 1)$,
-    $bold(A') quad mat(S, 1; 1, Omega)$,
+    $bold(A') quad mat(1, Omega; S, 1)$,
 
     $bold(R)$,
     $mat(r_11, r_12; r_21, r_22)$,
@@ -2760,8 +2797,8 @@
     $bold(G) jVec(u) = jVec(i)$,
     $bold(H) vec(i_1, u_2) = vec(u_1, i_2)$,
     $bold(H') vec(u_1, i_2) = vec(i_1, u_2)$,
-    $bold(A) vec(u_2, -i_2) = vec(i_1, u_1)$,
+    $bold(A) vec(u_2, -i_2) = vec(u_1, i_1)$,
-    $bold(A') vec(u_1, -i_1) = vec(i_2, u_2)$,
+    $bold(A') vec(u_1, -i_1) = vec(u_2, i_2)$,
     [],
     [Stromge-steuert],
     [Spannung-gesteuert],
@@ -2774,8 +2811,8 @@
     $jVec(g)vec(u_1, u_2) = vec(i_1, i_2)$,
     $jVec(h) vec(i_1, u_2) = vec(u_1, i_2)$,
     $jVec(h') vec(u_1, i_2) = vec(i_1, u_2)$,
-    $jVec(a) vec(u_2, -i_2) = vec(i_1, u_1)$,
+    $jVec(a) vec(u_2, -i_2) = vec(u_1, i_1)$,
-    $jVec(a') vec(u_1, -i_1) = vec(i_2, u_2)$,
+    $jVec(a') vec(u_1, -i_1) = vec(u_2, i_2)$,
   )
 ]