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Added diagram memristiv
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alexander
2026-02-07 22:23:27 +01:00
parent 3ce057fbc3
commit 2c9c26de99
1 changed files with 74 additions and 2 deletions
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76
src/cheatsheets/Schaltungstheorie.typ
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@@ -874,7 +874,7 @@
[], [],
[ [
$[u(t)] = unit("V")$ \ $[u(t)] = unit("V")$ \
$[Phi(t)] = unit("A s") = unit("W b")$ \ $[Phi(t)] = unit("V s") = unit("W b")$ \
], ],
[ [
@@ -885,7 +885,7 @@
], ],
[], [],
[ [
$<Phi(t) = integral_(-infinity)^(t) u(tau) d tau = \ $Phi(t) = integral_(-infinity)^(t) u(tau) d tau = \
Phi(0) + integral_(0)^(t) u(tau) d tau$ \ Phi(0) + integral_(0)^(t) u(tau) d tau$ \
$u(t) = (d Phi)/(d t) dot(Phi(t))$ $u(t) = (d Phi)/(d t) dot(Phi(t))$
@@ -1011,6 +1011,78 @@
tan(phi) = (U_2 sin(phi))/(U_1 + U_2 cos(phi))$ tan(phi) = (U_2 sin(phi))/(U_1 + U_2 cos(phi))$
] ]
#bgBlock(fill: colorComplexAC)[
#subHeading(fill: colorComplexAC)[Komplex Beziehungen]
#let size = 1.4
#let margin = 0.2
*Bauelement Beziehungen*
#align(center+horizon, [
#canvas({
import cetz.draw : content, set-style, line, scale
content((-size, size), $i$)
content((size, size), $u$)
content((-size, -size), $q$)
content((size, -size), $Phi$)
set-style(mark: (symbol: ">"))
line((-size + margin, size), (size - margin, size),
stroke: (thickness: 0.2mm, paint: rgb("#005500"))
)
line((-size + margin, -size), (size - margin, -size),
stroke: (thickness: 0.2mm, paint: rgb("#008b00"))
)
set-style(mark: (symbol: ">"))
line((-size+margin, -size+margin), (size -margin, size -margin),
stroke: (thickness: 0.2mm, paint: rgb("#2534ff"))
)
line((size -margin, -size+margin), (-size+margin, size -margin),
stroke: (thickness: 0.2mm, paint: rgb("#ff4625"))
)
scale(y: 75%, x: 75%)
content((0.0, -size - 0.8), text(rgb("#008b00"))[$"Memristiv" q = f(Phi)$], auto-scale: true)
content((0.0, size+0.8), text(rgb("#005500"))[$"Resitiv" u = r(i)$], auto-scale: true)
content((0.0, 0.2), text(rgb("#ff4625"))[$"Induktiv" quad i = lambda(Phi)$], angle: -45deg, auto-scale: true)
content((-0.2, 0.1), text(rgb("#2534ff"))[$"Kapazitiv" quad u = chi(Phi)$], angle: 45deg, auto-scale: true)
})
])
*Allgemeine Beziehungen (gilt immer)*
#align(center+horizon, [
#canvas({
import cetz.draw : content, set-style, line, bezier
content((-size, size), $i$)
content((size, size), $u$)
content((-size, -size), $q$)
content((size, -size), $Phi$)
set-style(mark: (end: ">"))
bezier((-size -margin*0.5, -size +margin), (-size -margin*0.5, size -margin), (-size - 0.5, 0), stroke: (thickness: 0.2mm, paint: rgb("#00318b")))
bezier((size -margin*0.5, -size +margin), (size -margin*0.5, size -margin), (size - 0.5, 0), stroke: (thickness: 0.2mm, paint: rgb("#00318b")))
bezier((-size +margin*0.5, size -margin), (-size +margin*0.5, -size +margin), (-size + 0.5, 0), stroke: (thickness: 0.2mm, paint: rgb("#8b2000")))
bezier((size +margin*0.5, size -margin), (size +margin*0.5, -size +margin), (size + 0.5, 0), stroke: (thickness: 0.2mm, paint: rgb("#8b2000")))
content((-size + 0.2, 0), scale(75%, text(rgb("#8b2000"), $integral i(tau) d tau$)), anchor: "west")
content((-size - 0.3, 0), scale(75%, text(rgb("#00318b"), $(d q)/(d t)$)), anchor: "east")
content((size + 0.2, 0), scale(75%, text(rgb("#8b2000"), $integral u(tau) d tau$)), anchor: "west")
content((size - 0.3, 0), scale(75%, text(rgb("#00318b"), $(d Phi)/(d t)$)), anchor: "east")
})
])
]
// AC Components // AC Components
#bgBlock(fill: colorComplexAC)[ #bgBlock(fill: colorComplexAC)[
#subHeading(fill: colorComplexAC)[Komplexe Komponent] #subHeading(fill: colorComplexAC)[Komplexe Komponent]