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levi
2026-02-07 18:09:38 +01:00
parent bdb138396d
commit 3ce057fbc3
1 changed files with 10 additions and 9 deletions
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19
src/cheatsheets/Schaltungstheorie.typ
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@@ -1049,22 +1049,23 @@
#bgBlock(fill: colorComplexAC)[ #bgBlock(fill: colorComplexAC)[
#subHeading(fill: colorComplexAC)[*Levi's Lustig Leistung*] #subHeading(fill: colorComplexAC)[*Levi's Lustig Leistung*]
$P=P_W + j P_B$\
$P = 1/2 U dot I^*$\
#table( #table(
columns: (auto, 1fr, auto), columns: (auto, 1fr, auto),
fill: (x, y) => if calc.rem(y, 2) == 0 { tableFillLow } else { tableFillHigh }, fill: (x, y) => if calc.rem(y, 2) == 0 { tableFillLow } else { tableFillHigh },
[Scheinleitsung], [$S = abs(P)$], [$["VA"]$], [Scheinleitsung], [$S = abs(P)$], [$["VA"]$],
[Wirkleistung], [$P_w = "Re"{P}$], [$["W"]$], [Wirkleistung], [$P_W = "Re"{P}$], [$["W"]$],
[Blindleistung], [$P_b = "Im"{P}$], [$["var"]$], [Blindleistung], [$P_B = "Im"{P}$], [$["var"]$],
) )
Bei Wiederstand: $R$
$P_w = U_m^2 / 2R = (I_m^2 R)/2$
$P = 1/2 U I^* = 1/2 abs(U)^2 Y^* = 1/2 abs(I)^2 Z^*$ $P = 1/2 U I^* = 1/2 abs(U)^2 Y^* = 1/2 abs(I)^2 Z^*$
//Bei Wiederstand: $R$
//$P_w = U_m^2 / 2R = (I_m^2 R)/2$
$U_"eff" = U_m/sqrt(2), I_"eff" = I_m / sqrt(2)$ $U_"eff" = U_m/sqrt(2), I_"eff" = I_m / sqrt(2)$
] ]