alexander/TUM-Formelsammlungen
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Merge branch 'main' of gitea.mintcalc.com:alexander/TUM-Formelsammlungen
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alexander
2026-02-02 14:46:23 +01:00
parent ad2c7f2919 c9a3cdfcdb
commit 83aa6764fe
1 changed files with 347 additions and 7 deletions
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350
src/cheatsheets/Schaltungstheorie.typ
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@@ -1,6 +1,8 @@
#import "@preview/mannot:0.3.1"
#import "@preview/zap:0.5.0"
#import "@preview/cetz:0.4.2"
#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"
@@ -371,16 +373,354 @@
#bgBlock(fill: colorEineTore)[
#subHeading(fill: colorEineTore)[Bauelemente]
#table(
columns: (1fr, 1fr, 1fr),
columns: (1fr, 1fr, 1fr ),
stroke: none,
align: center,
table.header([*Zeichen*],[*Gleichung*], [*Abbildung*]),
scale(x: 100%, y: 100%,
// Dioden ://
//
// ideale Diode
[
ideale Diode
#scale(x: 100%, y: 100%,
zap.circuit({
import zap : *
import cetz.draw : line, content
diode("b1", (0, 0), (1., 0))
})),
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 : line, content
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 : line, content
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 : line, content
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 : line, content
tunnel("b1", (0, 0), (1., 0), stroke: black, fill: black)
}))
],
[
],
[
],
// Quellen: //
// Spannungs-quelle
[
Spannungs-quelle
#scale(x: 100%, y: 100%,
zap.circuit({
import zap : *
import cetz.draw : line, content
vsource(
"b1",
(0, 0),
(1.75, 0)
)
}))
],
[
],
[
],
// Strom-quelle
[
Strom-quelle
#scale(x: 100%, y: 100%,
zap.circuit({
import zap : *
import cetz.draw : line, content
isource(
"b1",
(0, 0),
(1.75, 0)
)
}))
],
[
],
[
],
// Wiederstand
[
Wiederstand
#scale(x: 100%, y: 100%,
zap.circuit({
import zap : *
import cetz.draw : line, content
resistor(
"b1",
(0, 0),
(2, 0)
)
}))
],
[
],
[
],
// Induktivität
[
Induktivität
#scale(x: 100%, y: 100%,
zap.circuit({
import zap : *
import cetz.draw : line, content
inductor(
"b1",
(0, 0),
(2, 0),
variant: "ieee"
)
}))
],
[
],
[
],
// Kapazität
[
Kapazität
#scale(x: 100%, y: 100%,
zap.circuit({
import zap : *
import cetz.draw : line, content
capacitor(
"b1",
(0, 0),
(2, 0)
)
}))
],
[
],
[
],
// Kurzschluss
[
Kurzschluss
#scale(x: 100%, y: 100%,
zap.circuit({
import zap : *
import cetz.draw : line, content
capacitor(
"b1",
(0, 0),
(2, 0)
)
}))
],
[
],
[
],
// Leerlauf
[
Leerlauf
#scale(x: 100%, y: 100%,
zap.circuit({
import zap : *
import cetz.draw : line, content
capacitor(
"b1",
(0, 0),
(2, 0)
)
}))
],
[
],
[
],
// Nullator
[
Nullator
#scale(x: 100%, y: 100%,
zap.circuit({
import zap : *
import cetz.draw : line, content
capacitor(
"b1",
(0, 0),
(2, 0)
)
}))
],
[
],
[
],
// Norator
[
Norator
#scale(x: 100%, y: 100%,
zap.circuit({
import zap : *
import cetz.draw : line, content
capacitor(
"b1",
(0, 0),
(2, 0)
)
}))
],
[
],
[
],
);