added complex komonent list
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@@ -1226,7 +1226,7 @@
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[],
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[
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$Phi(t) = L dot i(t)$\
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$u(t) = C dot (d i)/(d t)$\
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$u(t) = L dot (d i)/(d t)$\
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$[L] = H = unit("V s") / unit("A")$
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],
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[
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@@ -1288,6 +1288,30 @@
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$
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]
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// AC Components
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#bgBlock(fill: colorComplexAC)[
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#subHeading(fill: colorComplexAC)[Komplexe Komponent]
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#table(
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columns: (1fr, 2fr, 2fr, 2fr),
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fill: (x, y) => if calc.rem(y, 2) == 1 { tableFillLow } else { tableFillHigh },
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[], [*$Y = U/I$*], [*$Z = I/U$*], [*$phi$*],
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[], [*$Omega$*], [*$S$*], [*rad*],
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zap.circuit({
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import zap : *
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resistor("R", (0, 0), (0.6, 0), width: 3mm, height: 2mm, fill: none)
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}), $R$, $1/G = R$, $0$,
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zap.circuit({
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import zap : *
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capacitor("R", (0, 0), (0.6, 0), width: 4mm, height: 6mm, fill: none)
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}), $1/(j w C)$, $j w C$, $-pi/2$,
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zap.circuit({
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import zap : *
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inductor("R", (0, 0), (0.6, 0), width: 4mm, height: 2mm, fill: none, variant: "ieee")
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}), $j w L$, $1/(j w L)$, $pi/2$
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)
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]
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#bgBlock(fill: colorComplexAC)[
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#subHeading(fill: colorComplexAC)[*Levi's Lustig Leistung*]
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@@ -1296,9 +1320,9 @@
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#table(
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columns: (auto, 1fr, auto),
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fill: (x, y) => if calc.rem(y, 2) == 0 { tableFillLow } else { tableFillHigh },
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[Scheinleitsung], [$(P_s =) space abs(underline(S))$], [$["VA"]$],
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[Wirkleistung], [$(P_w =) space P = "Re"{} $], [$["W"]$],
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[Blindleistung], [$(P_b =) space Q = "Im"{}$], [$["var"]$]
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[Scheinleitsung], [$S = abs(P)$], [$["VA"]$],
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[Wirkleistung], [$P_w = "Re"{P} $], [$["W"]$],
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[Blindleistung], [$P_b = "Im"{P}$], [$["var"]$]
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)
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Bei Wiederstand: $R$
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@@ -67,7 +67,7 @@
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$z^* = a - #i b = r e^(-#i phi)$
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$r = abs(z) quad phi = cases(
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+ arccos(a/r) space : space b >= 0,
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- arccos(a/r) space : space b < 0,
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+ arccos(a/r) space : space a >= 0,
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- arccos(a/r) space : space a < 0,
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)$
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]
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