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alexander
2026-02-07 16:44:46 +01:00
parent 6b5eda7c05
commit 72abc10657
1 changed files with 379 additions and 23 deletions
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402
src/cheatsheets/Schaltungstheorie.typ
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@@ -178,6 +178,8 @@
)
]
//
// Quell Wandlung
#bgBlock(fill: colorEineTore)[
#subHeading(fill: colorEineTore)[Ein-Tor]
@@ -1304,7 +1306,7 @@
],
[],
[
$Phi(t) = integral_(-infinity)^(t) u(tau) d tau = \
$<Phi(t) = integral_(-infinity)^(t) u(tau) d tau = \
Phi(0) + integral_(0)^(t) u(tau) d tau$ \
$u(t) = (d Phi)/(d t) dot(Phi(t))$
@@ -1437,14 +1439,15 @@
columns: (1fr, 2fr, 2fr, 2fr),
inset: (bottom: 2mm, top: 2mm),
fill: (x, y) => if calc.rem(y, 2) == 1 { tableFillLow } else { tableFillHigh },
[], [*$Y = U/I$*], [*$Z = I/U$*], [*$phi$*],
[], [*$Omega$*], [*$S$*], [*rad*],
[], [*$Z = U/I$*], [*$Y = I/U$*], [*$phi$*],
[], [*$I -> U$*], [*$U -> I$*], [*$phi$*],
[], [*$Omega space (R)$*], [*$S space (G)$*], [*rad*],
zap.circuit({
import zap: *
resistor("R", (0, 0), (0.6, 0), width: 3mm, height: 2mm, fill: none)
}),
$R$,
$1/G = R$,
$R = 1/G$,
$G = 1/R$,
$0$,
zap.circuit({
@@ -1537,36 +1540,389 @@
)
}
#bgBlock(fill: colorAnalyseVerfahren)[
#subHeading(fill: colorAnalyseVerfahren)[Knotenpotenzial-Analyse Komponetent]
#import mannot: *
#let ImageHeight = 3.0cm
#columns(2)[
#bgBlock(fill: colorAnalyseVerfahren)[
#subHeading(fill: colorAnalyseVerfahren)[Knotenpotenzial-Analyse Komponetent]
#import mannot: *
#table(
columns: (1fr, 1fr, 1fr, 1fr),
fill: (x, y) => if calc.rem(y, 2) == 0 { tableFillHigh } else { tableFillLow },
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell3-1.png", height: ImageHeight, fit: "contain")),
#let ImageHeight = 3.0cm
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell4.png", height: ImageHeight, fit: "contain")),
#table(
columns: (1fr, 1fr),
fill: (x, y) => if calc.rem(y, 2) == 0 { tableFillHigh } else { tableFillLow },
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell3-1.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell5.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell4.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell6.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell5.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell7.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell6.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell8.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell7.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell9.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell8.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell10.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell9.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell1.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell10.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell2.png", height: ImageHeight, fit: "contain")),
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell1.png", height: ImageHeight, fit: "contain")),
)
align(center, image("../images/schaltungstheorie/knotenpotenzial/schaltKontenPotenziell2.png", height: ImageHeight, fit: "contain")),
)
]
#colbreak()
// Bauelemente
#bgBlock(fill: colorEineTore)[
#subHeading(fill: colorEineTore)[Bauelemente]
#table(
columns: (1fr, 1fr, 1fr),
stroke: none,
align: center,
fill: (x, y) => if (calc.rem(y, 2) == 0) { tableFillLow } else { tableFillHigh },
table.header([*Zeichen*], [*Gleichung*], [*Abbildung*]),
// Quellen: //
// Spannungs-quelle
[
Spannungs-quelle
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
vsource(
"b1",
fill: none,
(0, 0),
(1.75, 0),
)
}))
],
[
],
[
],
// Strom-quelle
[
Strom-quelle
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
isource(
"b1",
fill: none,
(0, 0),
(1.75, 0),
)
}))
],
[
],
[
],
// Wiederstand
[
Wiederstand
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
resistor(
fill: none,
"b1",
(0, 0),
(2, 0),
)
}))
],
align(center+horizon,[
$[R] = Omega = V/A \
[G] = S = A/V$
]),
[
],
// Induktivität
[
Induktivität
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
inductor(
"b1",
(0, 0),
(2, 0),
variant: "ieee",
)
}))
],
[
],
[
],
// Kapazität
[
Kapazität
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
capacitor(
fill: none,
"b1",
(0, 0),
(2, 0),
)
}))
],
[
],
[
],
// Kurzschluss
[
Kurzschluss (KS)
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
wire((1,0), (-1,0), i: (content: $i_"ll"$, invert: true, anchor: "south"))
set-style(mark: (end: ("straight")))
line((-0.5,0.2), (0.5, 0.2), stroke: (thickness: 0.02))
content((0,0.555), $u_"ll" = 0$)
}))
],
align(center+horizon, [
$u_"ll" = 0 unit("V")\
i_"ll" = "bel."
$
]),
[
],
// Leerlauf
[
Leerlauf (LL)
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
node("N0",(-0.5,0))
node("N1",(0.5,0))
wire((-1,0), "N0")
wire((1,0), "N1", i: (content: $i_"ll" = 0$, invert: true, anchor: "south"))
set-style(mark: (end: ("straight")))
line((-0.3,0), (0.3, 0), stroke: (thickness: 0.02))
content((0,0.35), $u_"ll"$)
}))
],
align(center+horizon, [
$u_"ll" = "bel."\
i_"ll" = 0 unit("A")
$
]),
[
],
// Nullator
[
Nullator
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
joham.nullator("N0", (-1,0), (1,0), scale: 0.5, i: (anchor: "south", content: $i_"null"$))
set-style(mark: (end: ("straight")))
line((-0.3,0.3), (0.3, 0.3), stroke: (thickness: 0.02))
content((0,0.6), $u_"null"$)
}))
],
align(center+horizon, [
$u_"null" = 0 unit("V")\
i_"ll" = 0 unit("A")
$
]),
[
],
// Norator
[
Norator
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
joham.norator("N0", (-1,0), (1,0), scale: 0.5, i: (anchor: "south", content: $i_"nor"$))
set-style(mark: (end: ("straight")))
line((-0.3,0.3), (0.3, 0.3), stroke: (thickness: 0.02))
content((0,0.6), $u_"nor"$)
}))
],
align(center+horizon, [
$u_"null" = "bel."\
i_"ll" = "bel."
$
]),
[
],
// Dioden ://
//
// ideale Diode
[
ideale Diode
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
diode("b1", (0, 0), (1., 0), stroke: black, fill: white)
}))
],
[
$u=0$ falls $i>0$
$i=0$ falls $u<0$
],
[
/*
#scale(x: 50%, y: 50%,
cetz.canvas({
import cetz.draw: *
line((-1.5, 0), (1.5, 0), mark: (end: "straight"))
line((0, -1.5), (0, 1.5), mark: (end: "straight"))
content( (1.55, 0), $u$, anchor: "west")
content( (0.15, 1.4), $i$, anchor: "west")
line((-1.5, 0), (0, 0), stroke: red) // u = 0
line((0, 0), (0, 1.35), stroke: red) // i = 0
}))
*/
#scale(x: 75%, y: 75%, cetz.canvas({
import cetz.draw: *
import cetz-plot: *
let opts = (x-tick-step: none, y-tick-step: none, size: (2, 1), x-label: [u], y-label: [i])
plot.plot(axis-style: "school-book", ..opts, name: "plot", {
plot.add(((-1, 0), (0, 0)), style: (stroke: red))
plot.add(((0, 0), (0, 1)), style: (stroke: red))
})
}))
],
//table.hline(start: 1, end: 2),
// reale/pn Diode
[
reale/pn Diode
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
diode("b1", (0, 0), (1., 0), stroke: black, fill: black)
}))
],
[
$u_D = u_T*ln((i_D/I_S)+1)$
$i_D = I_S*(e^(u_D/U_T)-1)$
],
[
#scale(x: 75%, y: 75%, cetz.canvas({
import cetz.draw: *
import cetz-plot: *
let opts = (x-tick-step: none, y-tick-step: none, size: (2, 1), x-label: [u], y-label: [i])
let data = plot.add(x => calc.exp(x) - 1, domain: (-2, 2), style: (stroke: red))
plot.plot(axis-style: "school-book", ..opts, data, name: "plot")
}))
],
// Photodiode
[
Photodiode
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
photodiode("b1", (0, 0), (1., 0), stroke: black, fill: black)
}))
],
[
$i = I_S*(e^(u_D/U_T)-1)- i_L$
],
[
#scale(x: 75%, y: 75%, cetz.canvas({
import cetz.draw: *
import cetz-plot: *
let opts = (x-tick-step: none, y-tick-step: none, size: (2, 1), x-label: [u], y-label: [i])
plot.plot(axis-style: "school-book", ..opts, name: "plot", {
plot.add(x => calc.exp(x) - 1, domain: (-2, 2), style: (stroke: red))
plot.add(x => calc.exp(x) - 2, domain: (-2, 2), style: (stroke: red))
plot.add(x => calc.exp(x) - 3, domain: (-2, 2), style: (stroke: red))
})
}))
],
// Zenerdiode
[
Zenerdiode
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
zener("b1", (0, 0), (1., 0), stroke: black, fill: black)
}))
],
[
Durchbruch bei $u=U_Z$ :
$u<=U_Z$ stark leitend
],
[
],
// Tunneldiode
[
Tunneldiode
#scale(x: 100%, y: 100%, zap.circuit({
import zap: *
import cetz.draw: content, line
tunnel("b1", (0, 0), (1., 0), stroke: black, fill: black)
}))
],
[
],
[
],
);
]
]
#bgBlock(fill: colorZweiTore, width: 100%)[