feat: etit-es cheatsheet (WIP)
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etit-es/summary.typ
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448
etit-es/summary.typ
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#import "@preview/zap:0.2.1"
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#set columns(gutter: 5pt)
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#set rect(outset: 0pt)
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#set figure(supplement: "", numbering: none)
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// #set block(spacing: 5pt)
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#let section(..args) = block(width: 100%, fill: silver, spacing: 5pt, below: 5pt, breakable: false, ..args)
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#set page(
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// columns: 2,
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numbering: "1",
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margin: 1cm,
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header: rect(width: 100%, stroke: (bottom: 1pt), inset: (left: 0pt, right: 0pt))[
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#smallcaps[Elektronische Schaltungen]
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#h(1fr)
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Gero Beckmann
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]
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)
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#let out(name, pos) = {
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import zap.cetz.draw: *
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on-layer(1, {
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circle(pos, name: name, radius: .1, fill: white)
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})
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}
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#columns(2, [
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#section[
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== E 24 Reihe
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#{range(24)
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.map(n => calc.pow(calc.root(10,24),n))
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.map(e => str(calc.round(e, digits: 1) + calc.pow(10,-10)).slice(0,3))
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.join(" | ")
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}
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#let units = (
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([Giga], $10^9$),
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([Mega], $10^6$),
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([Kilo], $10^3$),
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([Milli], $10^(-3)$),
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([Mikro $mu$], $10^(-6)$),
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([Nano], $10^(-9)$),
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([Piko], $10^(-12)$),
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([Femto], $10^(-15)$),
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)
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#text(size: 8pt)[#table(columns: units.len() * (1fr,), inset: 3pt, table.header(..units.map(array.first)), ..units.map(array.last))
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]
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#grid(columns: 2 * (1fr,), align: (right, left), gutter: 10pt,
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[Parallelwiderstände], $R_1 || R_2 = 1 / (1 / R_1 + 1 / R_2)$,
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[Spannungsteiler], $U_2 = U dot R_2 / (R_1 + R_2)$,
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[Stromteiler], $I_1 = I dot = R_2 / (R_2 + R_2)$,
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[3 dB-Grenzfrequenz], $f_"3dB" = 1 / (2 pi dot C dot R)$
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)
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]
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#colbreak()
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#section[
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== Diode #box(zap.canvas({zap.diode("d", (0,0),(1,0))}))
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$
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I = I_s dot (e^(U/U_T) -1) approx 26"mv" " mit " U_T = (k_B dot T)/mono(e)
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$
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#zap.canvas({
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import zap: *
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import zap.cetz.draw: *
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scale(.6)
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content((-5,0), [Kleinsignalersatzschaltbild])
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out("A", (0,0))
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out("K", (3,0))
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resistor("rd", "A", "K", label: (content: $r_D$, anchor: "south", distance: 0pt))
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translate((0.8,-2.5))
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content((-5.8,0), [Erweitertes \ Kleinsignalersatzschaltbild])
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scale(.6)
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out("A", (0,0))
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out("K", (5,0))
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resistor("RB", "A", (3,0), label: (content: $R_B$, anchor: "south", distance: 0pt))
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resistor("rd", (2,0), "K", label: (content: $r_D$, anchor: "south", distance: 0pt))
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capacitor("CD",
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(rel: (0.5, 1), to: "rd.in"),
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(rel: (-.5, 1), to: "K"),
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label: (content: $C_D$, anchor: "north", distance: 1pt))
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wire("CD.in", (rel: (0,-1)))
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wire("CD.out", (rel: (0,-1)))
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})
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]
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])
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#section[
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#grid(columns: 2 * (1fr,), [
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== Bipolartransistor #box[#zap.canvas({
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import zap: *
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import zap.draw: *
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scale(.5)
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pnp("Q", (0,0))
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content("Q.b", "B", anchor: "east", padding: (right: 5pt))
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content("Q.c", "C", anchor: "west", padding: (left: 5pt))
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content("Q.e", "E", anchor: "west", padding: (left: 5pt))
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})]
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#grid(columns: 2, align: (right, left), gutter: 10pt,
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[Steilheit], $S = I_(C,A) / U_T$,
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[Kleinsignal-Eingangs-Widerstand], $r_"BE" = beta / S$
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)
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],[
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#grid(columns: 2 * (1fr,), [
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#figure(zap.canvas({
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import zap: *
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import zap.cetz.draw: *
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scale(.7)
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out("UBEE", (0,0))
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out("UBEA", (0,-2))
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out("UCEE", (5,0))
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out("UCEA", (5,-2))
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node("B", (1,0))
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content("B", anchor: "south", padding: 5pt, [Basis])
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node("K", (3.5,0))
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content("K", anchor: "south", padding: 5pt, [Kollektor])
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node("E", (2.5,-2))
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content("E", anchor: "north", padding: 5pt, [Emitter])
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wire("UBEE", "B", i: "hi")
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wire("UCEE", "K")
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wire("UBEA", "UCEA")
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resistor("RBE", "B", ((), "|-", "E"), label: (content: $r_"BE"$, anchor: "south", distance: 0pt))
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isource("SUBE", "K", ((), "|-", "E"), label: (content: $S dot u_"BE"$, distance: 1pt))
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set-style(zap: (wires: (stroke: red)))
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wire("B", (2.5,0), stroke: red)
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capacitor("CBE", ("E"), (rel: (0,2)), stroke: red, label: (content: text(fill:red, $C_"BE"$), anchor: "west", distance: 5pt))
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capacitor("", ("K"), (rel: (-1,0)), stroke: red)
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content((rel: (-1.5,0), to: "K"), text(fill: red, $C_"BC"$))
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}),
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caption: [#text(fill:red)[vollständiges] Kleinsignalersatzschaltbild])
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], [
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#figure(zap.canvas({
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import zap: *
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import zap.cetz.draw: *
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scale(.7)
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out("UBEE", (0,0))
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out("UBEA", (0,-2))
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out("UCEE", (5,0))
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out("UCEA", (5,-2))
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node("B", (1.5,0))
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content("B", anchor: "south", padding: 5pt, [Basis])
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node("K", (3.5,0))
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content("K", anchor: "south", padding: 5pt, [Kollektor])
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node("E", (2.5,-2))
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content("E", anchor: "north", padding: 5pt, [Emitter])
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wire("UBEE", "B", i: "hi")
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wire("UCEE", "K")
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wire("UBEA", "UCEA")
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diode("RBE", "B", ((), "|-", "E"))
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isource("SUBE", "K", ((), "|-", "E"), label: (content: $S dot u_"BE"$, distance: 1pt))
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}),caption: [Großsignalersatzschaltbild])
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])
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])
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#table(columns: 3 * (1fr,), align: center,
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table.header([Ermitterschaltung], [Basisschaltung], [Kollektorschaltung]),[
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#set text(size: 9pt)
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#zap.canvas({
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import zap: *
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import zap.cetz.draw: *
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scale(.8)
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out("e", (0,0))
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out("a", (2.5,1))
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out("eg", (0,-1))
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out("ag", (2.5,-1))
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pnp("n1", (1.5,0))
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wire("e", "n1.b")
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wire("n1.c", ((), "|-", "a"), "a")
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wire("n1.e", ((), "|-", "ag"), "ag")
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wire("n1.e", ((), "|-", "eg"), "eg")
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scale(.3)
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resistor("", "n1.e", (rel: (0,-2)), stroke: red, label: (content: text(fill: red, size:8pt,$R_E$), distance: 1pt))
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line(("e",.2,"eg"), ("eg", .2, "e"), name: "line", mark: (end: (symbol: ">", fill: black)))
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content("line", anchor: "east", padding: .2, $U_e$)
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line(("a",.2,"ag"), ("ag", .2, "a"), name: "line", mark: (end: (symbol: ">", fill: black)))
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content("line", anchor: "east", padding: .2, $U_a$)
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})
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],
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[ #zap.canvas({
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import zap: *
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import zap.cetz.draw: *
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scale(.8)
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out("e", (-1.25,0))
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out("a", (1.5,1))
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out("eg", (-1.25,-1))
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out("ag", (1.5,-1))
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rotate(x:180deg)
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rotate(z:-90deg)
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pnp("n1", (0,0))
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set-transform(none)
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wire("e", "n1.e")
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wire("n1.c", ((), "|-", "a"), "a")
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wire("n1.b", ((), "|-", "ag"), "ag")
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wire("n1.b", ((), "|-", "eg"), "eg")
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line(("e",.2,"eg"), ("eg", .2, "e"), name: "line", mark: (end: (symbol: ">", fill: black)))
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content("line", anchor: "east", padding: .2, $U_e$)
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line(("a",.2,"ag"), ("ag", .2, "a"), name: "line", mark: (end: (symbol: ">", fill: black)))
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content("line", anchor: "east", padding: .2, $U_a$)
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})
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],[
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#zap.canvas({
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import zap: *
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import zap.cetz.draw: *
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scale(.8)
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out("e", (0,0))
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out("a", (2.5,1))
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out("eg", (0,-1))
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out("ag", (2.5,-1))
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rotate(x: 180deg)
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pnp("n1", (1.5,0))
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wire("e", "n1.b")
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wire("n1.e", ((), "|-", "a"), "a")
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wire("n1.c", ((), "|-", "ag"), "ag")
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wire("n1.c", ((), "|-", "eg"), "eg")
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line(("e",.2,"eg"), ("eg", .2, "e"), name: "line", mark: (end: (symbol: ">", fill: black)))
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content("line", anchor: "east", padding: .2, $U_e$)
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line(("a",.2,"ag"), ("ag", .2, "a"), name: "line", mark: (end: (symbol: ">", fill: black)))
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content("line", anchor: "east", padding: .2, $U_a$)
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})
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]
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,[
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#text(size: 8pt)[
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#grid(columns: 2 * (1fr,), [
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$
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A &= -S R_C \
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r_e &= r_"BE" \
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r_a &= r_"CE" || R_C
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$
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],text(fill: red)[
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Stromgegen-\kopplung $
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A &= -R_C / R_E \
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r_e &= r_"BE" \
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r_a &= r_"CE" || R_C
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$
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])
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]
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], [
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#text(size: 9pt, $
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A &= S R_C \
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r_e &= 1 / S \
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r_a &= r_"CE" || R_C
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$)
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], [
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#text(size: 9pt, $
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A &= 1 \
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r_e &= r_"BE" + beta R_E \
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r_a &= 1 / S
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$)
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])
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]
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#section[
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#grid(columns: (2fr, 3fr), [
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== Feldeffekttransistor (FET) #box[#zap.canvas({
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import zap: *
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import zap.draw: *
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scale(.5)
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pmos("Q", (0,0))
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content("Q.gl", "G", anchor: "east", padding: (right: 5pt))
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content("Q.d", "D", anchor: "west", padding: (left: 5pt))
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content("Q.s", "S", anchor: "west", padding: (left: 5pt))
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})]
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$
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r_"DS" = (partial U_"DS") / (partial I_D) = (abs(U_A) + U_"DS") / I_D \
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S = (partial I_D) / (partial U_"DS") = beta (U_"GS" - U_"th") \
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beta = mu dot C'_"ox" dot omega / l
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$
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], [
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#grid(columns: 2 * (1fr,), align: center, [
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#scale(60%, reflow: true)[#table(columns: (auto, 1fr, 1fr), [], [n-Kanal], [p-Kanal],
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rotate(-90deg, reflow: true)[normal\ leitend],
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zap.canvas({ zap.nmos("", (), mode: "depletion") }),
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zap.canvas({ zap.pmos("", (), mode: "depletion") }),
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rotate(-90deg, reflow: true)[normal\ sperrend],
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zap.canvas({ zap.nmos("", ()) }),
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zap.canvas({ zap.pmos("", ()) }),
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)]
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], [
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#figure(scale(65%, reflow: true)[
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#zap.canvas({
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import zap: *
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import zap.cetz.draw: *
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scale(.9)
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out("G", (0,0))
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content("G", "G", anchor: "east", padding: 5pt)
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out("S", (0,-2))
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content("S", "S", anchor: "east", padding: 5pt)
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out("D", (6,0))
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content("D", "D", anchor: "west", padding: 5pt)
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out("DA", (6,-2))
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node("", (4,0))
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node("", (2,-2))
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node("", (4,-2))
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isource("Su", (2,0), (2,-2), i: (label: [#h(.6cm)$S dot u_"GS"$], position: end + top ))
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resistor("", (4,0), (4,-2), label: (content: $r_"DS"$, anchor: "south", distance: 3pt))
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wire((2,0), "D")
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wire("S", "DA")
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line(("G",.2,"S"), ("S", .2, "G"), name: "line", mark: (end: (symbol: ">", fill: black)))
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content("line", anchor: "east", padding: .2, $u_"GS"$)
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line(("D",.2,"DA"), ("DA", .2, "D"), name: "line", mark: (end: (symbol: ">", fill: black)))
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content("line", anchor: "east", padding: .2, $u_"DS"$)
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})
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], caption: [ Kleinsignalersatzschaltbild ])
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])
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$
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I_D &= cases(
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0 & U_"GS" <= U_"th",
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beta dot ((U_"GS" - U_"th") - U_"th"^2 / 2) dot (1 + U_"DS" / U_A) & "linearer Bereich",
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beta / 2 dot (U_"GS" - U_"th")^2 dot (1 + U_"DS" / U_A) & "Sättigungsbereich"
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)
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$
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])
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#table(columns: 3 * (1fr,), align: center,
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table.header([Source-Schaltung], [Gate-Schaltung], [Drain-Schaltung]) ,[
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#zap.canvas({
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import zap: *
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import zap.cetz.draw: *
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scale(.8)
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out("e", (0,0))
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out("a", (2.5,1))
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out("eg", (0,-1))
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out("ag", (2.5,-1))
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scale(.5)
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nmos("n1", (3,0.5))
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wire("e", "n1.g")
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wire("n1.d", ((), "|-", "a"), "a")
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wire("n1.s", ((), "|-", "ag"), "ag")
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wire("n1.s", ((), "|-", "eg"), "eg")
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line(("e",.2,"eg"), ("eg", .2, "e"), name: "line", mark: (end: (symbol: ">", fill: black)))
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content("line", anchor: "east", padding: .2, $U_e$)
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line(("a",.2,"ag"), ("ag", .2, "a"), name: "line", mark: (end: (symbol: ">", fill: black)))
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content("line", anchor: "east", padding: .2, $U_a$)
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})
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],
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[
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#zap.canvas({
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import zap: *
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import zap.cetz.draw: *
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scale(.8)
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out("e", (-1.25,0))
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out("a", (1.5,1))
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out("eg", (-1.25,-1))
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out("ag", (1.5,-1))
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rotate(x:180deg)
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rotate(z:-90deg)
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scale(.5)
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nmos("n1", (0,0))
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set-transform(none)
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wire("e", "n1.s")
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wire("n1.d", ((), "|-", "a"), "a")
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wire("n1.g", ((), "|-", "ag"), "ag")
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wire("n1.g", ((), "|-", "eg"), "eg")
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line(("e",.2,"eg"), ("eg", .2, "e"), name: "line", mark: (end: (symbol: ">", fill: black)))
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content("line", anchor: "east", padding: .2, $U_e$)
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line(("a",.2,"ag"), ("ag", .2, "a"), name: "line", mark: (end: (symbol: ">", fill: black)))
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content("line", anchor: "east", padding: .2, $U_a$)
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})
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], [
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#zap.canvas({
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import zap: *
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import zap.cetz.draw: *
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scale(.8)
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out("e", (0,0))
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out("a", (2.5,1))
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out("eg", (0,-1))
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out("ag", (2.5,-1))
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rotate(x: 180deg)
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scale(.5)
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nmos("n1", (3,.5))
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wire("e", "n1.g")
|
||||
wire("n1.s", ((), "|-", "a"), "a")
|
||||
wire("n1.d", ((), "|-", "ag"), "ag")
|
||||
wire("n1.d", ((), "|-", "eg"), "eg")
|
||||
|
||||
line(("e",.2,"eg"), ("eg", .2, "e"), name: "line", mark: (end: (symbol: ">", fill: black)))
|
||||
content("line", anchor: "east", padding: .2, $U_e$)
|
||||
|
||||
line(("a",.2,"ag"), ("ag", .2, "a"), name: "line", mark: (end: (symbol: ">", fill: black)))
|
||||
content("line", anchor: "east", padding: .2, $U_a$)
|
||||
})
|
||||
],
|
||||
[
|
||||
#text(size: 9pt, $
|
||||
r_e &= oo \
|
||||
r_a &= R_D || r_"DS" \
|
||||
A &= -S dot (R_D || r_"DS")
|
||||
$)
|
||||
|
||||
] ,[
|
||||
#text(size: 9pt, $
|
||||
r_e &= 1/S \
|
||||
r_a &= R_D || r_"DS" \
|
||||
A &= S dot (R_D || r_"DS")
|
||||
$)
|
||||
], [
|
||||
#text(size: 9pt,
|
||||
$
|
||||
r_e &= oo \
|
||||
r_a &= 1 / S || R_S \
|
||||
A &= (S dot R_S) / (1 + S dot R_S)
|
||||
$
|
||||
)
|
||||
])
|
||||
]
|
||||
|
||||
|
||||
Loading…
Reference in a new issue