feat: add some electricity

This commit is contained in:
max_richter 2022-03-10 17:54:08 +01:00
parent c2141ad4f6
commit 83a024e72e
20 changed files with 914 additions and 10 deletions

3
.obsidian/app.json vendored Normal file
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{
"legacyEditor": false
}

3
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{
"baseFontSize": 16
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1
.obsidian/community-plugins.json vendored Normal file
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[]

15
.obsidian/core-plugins.json vendored Normal file
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[
"file-explorer",
"global-search",
"switcher",
"graph",
"backlink",
"page-preview",
"note-composer",
"command-palette",
"editor-status",
"markdown-importer",
"word-count",
"open-with-default-app",
"file-recovery"
]

1
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{}

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/*
THIS IS A GENERATED/BUNDLED FILE BY ESBUILD
if you want to view the source, please visit the github repository of this plugin
*/
var __create = Object.create;
var __defProp = Object.defineProperty;
var __getOwnPropDesc = Object.getOwnPropertyDescriptor;
var __getOwnPropNames = Object.getOwnPropertyNames;
var __getProtoOf = Object.getPrototypeOf;
var __hasOwnProp = Object.prototype.hasOwnProperty;
var __markAsModule = (target) => __defProp(target, "__esModule", { value: true });
var __export = (target, all) => {
__markAsModule(target);
for (var name in all)
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var __reExport = (target, module2, desc) => {
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}
return target;
};
var __toModule = (module2) => {
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};
var __async = (__this, __arguments, generator) => {
return new Promise((resolve, reject) => {
var fulfilled = (value) => {
try {
step(generator.next(value));
} catch (e) {
reject(e);
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};
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try {
step(generator.throw(value));
} catch (e) {
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};
var step = (x) => x.done ? resolve(x.value) : Promise.resolve(x.value).then(fulfilled, rejected);
step((generator = generator.apply(__this, __arguments)).next());
});
};
// src/main.ts
__export(exports, {
default: () => LatexEnvironments
});
var import_obsidian3 = __toModule(require("obsidian"));
// src/settings.ts
var LatexEnvironmentsSettings = class {
constructor() {
this.defaultEnvironment = "multline";
this.customEnvironments = [];
}
};
function ensureSettings(loaded) {
var _a, _b;
const settings = new LatexEnvironmentsSettings();
settings.defaultEnvironment = (_a = loaded.defaultEnvironment) != null ? _a : settings.defaultEnvironment;
settings.customEnvironments = (_b = loaded.customEnvironments) != null ? _b : settings.customEnvironments;
return settings;
}
// src/search.ts
var SearchCursor = class {
constructor(text, regex, _originalCaret) {
this.text = text;
this._originalCaret = _originalCaret;
if (regex instanceof RegExp) {
this.regex = regex;
} else {
this.regex = new RegExp(regex);
}
this.reset();
}
reset() {
this._from = this._originalCaret;
this._to = this._originalCaret;
this._caret = this._originalCaret;
}
findNext() {
const text = this.text.slice(this._caret);
const match = text.match(this.regex);
if ((match == null ? void 0 : match.index) == null) {
return void 0;
}
this._from = this._caret + match.index;
this._to = this._caret + match.index + match[0].length;
this._caret = this._to;
return match;
}
findPrevious() {
const reverseRegex = new RegExp(`(?<full>${this.regex.source})(?!.*[\\r\\n]*.*\\k<full>)`, this.regex.flags);
const text = this.text.slice(0, this._caret);
const lastMatch = text.match(reverseRegex);
if ((lastMatch == null ? void 0 : lastMatch.index) == null || (lastMatch == null ? void 0 : lastMatch.groups) == null) {
return void 0;
}
this._from = lastMatch.index;
this._to = lastMatch.index + lastMatch.groups.full.length;
this._caret = this._from;
return lastMatch;
}
to() {
return this._to;
}
from() {
return this._from;
}
};
// src/mathblock.ts
var MathBlock = class {
constructor(text, cursor) {
this.text = text;
const searchCursor = new SearchCursor(text, "\\$\\$", cursor);
this.startPosition = searchCursor.findPrevious() != null ? searchCursor.to() : 0;
searchCursor.reset();
this.endPosition = searchCursor.findNext() != null ? searchCursor.from() : text.length;
}
getEnclosingEnvironment(cursor) {
const beginEnds = new BeginEnds(this.text, this.startPosition, this.endPosition);
const environments = Array.from(beginEnds);
if (beginEnds.isOpen) {
throw new Error("unclosed environments in block");
}
const start = environments.filter((env) => env.type === "begin" && env.from < cursor).pop();
if (start === void 0) {
return void 0;
}
const after = environments.filter((env) => env.from > start.to);
let open = 1;
let end;
for (const env of after) {
if (env.type === "begin") {
open++;
} else {
open--;
if (open === 0) {
end = env;
break;
}
}
}
if (end === void 0) {
throw new Error("current environment is never closed");
}
if (end.to < cursor) {
return void 0;
}
return {
name: start.name,
begin: start,
end,
contents: this.text.slice(start.to, end.from)
};
}
static isMathMode(_cursor, _editor) {
return true;
}
};
var BeginEnds = class {
constructor(text, start, end) {
this.text = text;
this.start = start;
this.end = end;
this.openEnvs = [];
this.search = this.getEnvCursor(this.start);
}
reset() {
this.search = this.getEnvCursor(this.start);
}
getEnvCursor(start) {
return new SearchCursor(this.text, /\\(?<beginEnd>begin|end){\s*(?<name>[^}]+)\s*}/m, start);
}
get isOpen() {
return this.openEnvs.length > 0;
}
[Symbol.iterator]() {
this.reset();
return this;
}
next() {
const match = this.search.findNext();
const to = this.search.to();
if ((match == null ? void 0 : match.groups) == null || to > this.end) {
return { done: true, value: null };
}
switch (match.groups.beginEnd) {
case "begin": {
const current = {
name: match.groups.name,
type: "begin",
from: this.search.from(),
to: this.search.to()
};
this.openEnvs.push(current);
return {
done: false,
value: current
};
}
case "end": {
const current = this.openEnvs.pop();
if (current === void 0) {
throw new Error("closing environment which was never opened");
}
if (current.name !== match.groups.name) {
throw new Error("environment not closed properly");
}
return {
done: false,
value: {
name: match.groups.name,
type: "end",
from: this.search.from(),
to: this.search.to()
}
};
}
}
throw new Error(`regex returned unexpected result ${match[1]}`);
}
};
// src/envmodal.ts
var import_obsidian = __toModule(require("obsidian"));
// src/environmentNames.ts
var DISPLAY_EQUATIONS = [
"equation",
"equation*",
"gather",
"gather*",
"multline",
"multline*",
"split",
"align",
"align*",
"flalign",
"flalign*",
"alignat",
"alignat*"
];
var MATRICES = [
"matrix",
"pmatrix",
"bmatrix",
"Bmatrix",
"vmatrix",
"Vmatrix",
"smallmatrix"
];
var SUB_ENVIRONMENTS = ["multlined", "gathered", "aligned", "cases"];
var DEFAULT_ENVIRONMENTS = [
...DISPLAY_EQUATIONS,
...MATRICES,
...SUB_ENVIRONMENTS
];
// src/envmodal.ts
var EnvModal = class extends import_obsidian.FuzzySuggestModal {
constructor(app, settings, name, callback) {
super(app);
this.settings = settings;
this.name = name;
this.callback = callback;
this.matched = false;
this.setInstructions([
{ command: "\u2191\u2193", purpose: "to navigate" },
{ command: "\u21B5", purpose: "to select" },
{ command: "esc", purpose: "to dismiss" }
]);
this.setPlaceholder("environment name");
}
getItems() {
return Array.from(new Set([this.settings.defaultEnvironment].concat(this.settings.customEnvironments, DEFAULT_ENVIRONMENTS)));
}
getItemText(item) {
this.matched = true;
return item;
}
onNoSuggestion() {
this.matched = false;
}
onChooseItem(item, _evt) {
if (this.matched) {
this.callback(item);
} else {
this.callback(this.inputEl.value);
}
}
static callback(app, settings, defaultName, call) {
new EnvModal(app, settings, defaultName, call).open();
}
};
// src/latexEnvironmentsSettingsTab.ts
var import_obsidian2 = __toModule(require("obsidian"));
var LatexEnvironmentsSettingTab = class extends import_obsidian2.PluginSettingTab {
constructor(app, plugin) {
super(app, plugin);
this.plugin = plugin;
}
display() {
const { containerEl } = this;
containerEl.empty();
containerEl.createEl("h2", { text: "Settings for latex environments" });
new import_obsidian2.Setting(containerEl).setName("Default environment").setDesc("The default environment to insert").addText((text) => text.setPlaceholder("environment").setValue(this.plugin.settings.defaultEnvironment).onChange((value) => __async(this, null, function* () {
this.plugin.settings.defaultEnvironment = value;
yield this.plugin.saveData(this.plugin.settings);
})));
new import_obsidian2.Setting(containerEl).setName("Extra environments").setDesc("Environment names to be suggested for completion (one per line)").addTextArea((area) => {
area.setValue(this.plugin.settings.customEnvironments.join("\n")).onChange((value) => __async(this, null, function* () {
this.plugin.settings.customEnvironments = value.split("\n").map((x) => x.trim()).filter((x) => x.length > 0);
yield this.plugin.saveData(this.plugin.settings);
}));
});
}
};
// src/actions/action.ts
var Action = class {
constructor(doc) {
this.doc = doc;
}
suggestName() {
return void 0;
}
get needsName() {
return true;
}
};
// src/environment.ts
function newEnvironment(name, cursor, contents = "") {
const pad = getPad(contents);
return {
replaceSelection: `\\begin{${name}}${pad}${contents}${pad}\\end{${name}}`,
selection: {
from: {
ch: 0,
line: cursor.line + 1
}
}
};
}
function unwrapEnvironment(environment, doc) {
return {
changes: [
{
text: trim(environment.contents),
from: doc.offsetToPos(environment.begin.from),
to: doc.offsetToPos(environment.end.to)
}
],
selection: { from: doc.getCursor() }
};
}
function changeEnvironment(environment, doc, name) {
const change = {
text: `\\begin{${name}}${environment.contents}\\end{${name}}`,
from: doc.offsetToPos(environment.begin.from),
to: doc.offsetToPos(environment.end.to)
};
return {
changes: [change],
selection: { from: doc.getCursor() }
};
}
function getPad(text) {
if (text.length > 0 && text.match(/^[ \t]*$/) != null) {
return "";
}
return "\n";
}
function trim(text) {
if (text.length === 0)
return text;
const start = text.startsWith("\n") ? 1 : 0;
const end = text.endsWith("\n") ? text.length - 1 : text.length;
return text.slice(start, end);
}
// src/actions/wrapAction.ts
var WrapAction = class extends Action {
constructor(doc, addWhitespace = true) {
super(doc);
this.addWhitespace = addWhitespace;
}
prepare() {
return this;
}
transaction(envName) {
return newEnvironment(envName, this.doc.getCursor(), this.doc.getSelection());
}
};
// src/actions/insertAction.ts
var InsertAction = class extends Action {
prepare() {
if (this.doc.somethingSelected()) {
return new WrapAction(this.doc).prepare();
}
return this;
}
transaction(envName) {
return newEnvironment(envName, this.doc.getCursor());
}
};
// src/actions/changeAction.ts
var ChangeAction = class extends Action {
suggestName() {
return this.name;
}
prepare() {
const cursor = this.doc.posToOffset(this.doc.getCursor());
const block = new MathBlock(this.doc.getValue(), cursor);
this.current = block.getEnclosingEnvironment(cursor);
if (this.current === void 0) {
return new WrapAction(this.doc, block.startPosition === block.endPosition);
}
this.name = this.current.name;
return this;
}
transaction(envName) {
if (this.current !== void 0) {
return changeEnvironment(this.current, this.doc, envName);
}
return {};
}
};
// src/actions/deleteAction.ts
var DeleteAction = class extends Action {
get needsName() {
return false;
}
prepare() {
const cursor = this.doc.getCursor();
const block = new MathBlock(this.doc.getValue(), this.doc.posToOffset(cursor));
this.current = block.getEnclosingEnvironment(this.doc.posToOffset(cursor));
return this;
}
transaction(_envName) {
if (this.current !== void 0) {
return unwrapEnvironment(this.current, this.doc);
}
return {};
}
};
// src/main.ts
var LatexEnvironments = class extends import_obsidian3.Plugin {
constructor() {
super(...arguments);
this.settings = new LatexEnvironmentsSettings();
}
onload() {
return __async(this, null, function* () {
const settings = yield this.loadData();
if (settings !== null) {
this.settings = ensureSettings(settings);
}
this.addCommand({
id: "insert-latex-env",
name: "Insert LaTeX environment",
checkCallback: this.mathModeCallback(InsertAction)
});
this.addCommand({
id: "change-latex-env",
name: "Change LaTeX environment",
checkCallback: this.mathModeCallback(ChangeAction)
});
this.addCommand({
id: "delete-latex-env",
name: "Delete LaTeX environment",
checkCallback: this.mathModeCallback(DeleteAction)
});
this.addSettingTab(new LatexEnvironmentsSettingTab(this.app, this));
});
}
mathModeCallback(ActionType) {
return (checking) => {
const leaf = this.app.workspace.activeLeaf;
if (leaf.view instanceof import_obsidian3.MarkdownView) {
const editor = leaf.view.editor;
const cursor = editor.posToOffset(editor.getCursor());
if (!MathBlock.isMathMode(cursor, editor)) {
return false;
}
if (!checking) {
try {
const action = new ActionType(editor.getDoc()).prepare();
this.withPromptName(editor, action);
} catch (e) {
new import_obsidian3.Notice(e.message);
}
}
return true;
}
return false;
};
}
withPromptName(editor, action) {
const call = (envName) => {
editor.transaction(action.transaction(envName));
editor.focus();
};
if (action.needsName) {
const suggested = action.suggestName();
EnvModal.callback(this.app, this.settings, suggested !== void 0 ? suggested : this.settings.defaultEnvironment, call);
} else {
call("*");
}
}
};

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{
"id": "obsidian-latex-environments",
"name": "Latex Environments",
"version": "0.3.0",
"description": "Allows to quickly insert and change latex environments within math environments.",
"author": "Zach Raines",
"authorUrl": "https://github.com/raineszm/obsidian-latex-environments",
"minAppVersion": "0.11.11",
"isDesktopOnly": false
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"source": false
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"state": {}
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"type": "leaf",
"state": {
"type": "search",
"state": {
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"matchingCase": false,
"explainSearch": false,
"collapseAll": false,
"extraContext": false,
"sortOrder": "alphabetical"
}
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],
"direction": "horizontal",
"width": 300
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"right": {
"id": "c57c7700d46038dd",
"type": "split",
"children": [
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"type": "tabs",
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"Areas/electricity/index.md",
"Areas/electricity/voltage-divider.svg"
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}

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@ -10,7 +10,12 @@ Electrons can escape the atom and bind to a new Atom.
Copper is used in wires because it has 29 Electrons, with one in the outer (Valence) Shell. This Atom can easily escape and switch places.
Normally an atom has the same amount of protons and electrons, when this is not the case the atoms has a charge.
## Ohms Law
V = I * R;
I = V / R;
## Voltage
is like the pressure in Cable, it forces the Electrons to move.
@ -23,19 +28,63 @@ When the current is to high, the cable breaks
## Circuit
A electric circuit is a closed loop through which electrons flow.
Normally in a copper wire the atoms randomly exchange electrons.
## How to find resistance of resistors in series?
Just add them up
When there is a force applied to some side, the electrons move in a specific way
## How to find the resistance of resistors in parallel?
## Voltage is how much these electrons want to move
## Resistance is how hard it is for them to move
## Current is how many electrons are moving in a specified time
When each of the resistors provides a new way to reach ground, then
1/R = 1/R1 + 1/R2 + 1/R3;
**Example:**
R1 = 4 Ohm
R2 = 5 Ohm
R3 = 20 Ohm
1/R = 1/4 + 1/5 + 1/20;
1/R = 0.5 | * R;
1 = 0.5R | * 2;
2 = R;
10 Ohm
23 Ohm
17 Ohm
1/R = 0.20230179 | * R
1 = 0.20230179R | / 0.20230179
4.94 = R;
## Test
Input: 50v
Current: 2A
Resistors: 19Ohm
Ohms Law = V = I*R;
50 = 2*(19+R);
50 = 38+2R | - 38;
12 = 2R;
6 = R;
R = V / I;
Ohms law only works for D/C and NOT A/C;
5V in
1/R = 1/100+1/1000;
1/R = 0.011;
1 = 0.011R;
90.90909 = R;
I = V / R;
I = 5 / 90.909090
I = 0.055;
I = 5.5mA
## Ohms Law
Voltage = Current * Resistance
Resistance = Voltage / Current
Current = Voltage / Resistance
## Watts
## Volts

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<tspan x="-133.665" y="6.5" font-family="Avenir-Medium" font-size="30" fill="#656565">Forward voltage (V)</tspan>
</text>
<text transform="matrix(1, 0, 0, 1, 419.643, 32.5)">
<tspan x="-53.625" y="6.5" font-family="Avenir-Medium" font-size="30" fill="#656565">Infrared</tspan>
</text>
<text transform="matrix(1, 0, 0, 1, 567.643, 32.5)">
<tspan x="-26.67" y="6.5" font-family="Avenir-Medium" font-size="30" fill="#656565">Red</tspan>
</text>
<text transform="matrix(1, 0, 0, 1, 691.143, 32.5)">
<tspan x="-51.66" y="6.5" font-family="Avenir-Medium" font-size="30" fill="#656565">Orange</tspan>
</text>
<text transform="matrix(1, 0, 0, 1, 807.643, 32.5)">
<tspan x="-29.73" y="6.5" font-family="Avenir-Medium" font-size="30" fill="#656565">Blue</tspan>
</text>
<text transform="matrix(0, -1, 1, 0, 24.751, 193.637)">
<tspan x="-147.3" y="5.249" font-family="Avenir-Medium" font-size="30" fill="#656565">Cathode current (mA)</tspan>
</text>
<text transform="matrix(1, 0, 0, 1, 79.823, 225)">
<tspan x="-16.68" y="9" font-family="Avenir-Medium" font-size="30" fill="#656565">30</tspan>
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<text transform="matrix(1, 0, 0, 1, 79.823, 152)">
<tspan x="-16.68" y="9" font-family="Avenir-Medium" font-size="30" fill="#656565">40</tspan>
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<tspan x="-16.68" y="9" font-family="Avenir-Medium" font-size="30" fill="#656565">50</tspan>
</text>
<text transform="matrix(1, 0, 0, 1, 79.823, 297.25)">
<tspan x="-16.68" y="9" font-family="Avenir-Medium" font-size="30" fill="#656565">20</tspan>
</text>
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# Glossary
## Volts
Voltage
## Amperes
Current
## Ohms
Resistance
## Ohms Law
$$
V = \frac{I}{R}
$$
## Impedance
## Polarity
Means if a component is symmetric or not
Polarised means that a component is not symmetric
## Voltage Divider
## LED
Anode - The shorter Leg
Cathode - The longer Leg
## Diode
## Anode
The positive end of a diode
## Cathode
The negative end of a diode

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# Led
Leds have polarity, that means they only allow current to flow in one direction. That means LED's are diodes.
While in resistors the relations of voltage to current is linear:
![](./current-voltage-characteristic.svg)
that is not the case for leds
![](./diode-voltage-graph.svg)

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# Voltage Divider
## Simple Voltage Divider
This is sort of unrealistic because there is no current flowing out of the voltage divider on the right side:
![Voltage Divider](./voltage-divider.svg)
#### Equation
$$
\begin{flalign}
Vout & =\text{Vin }x*(\frac{R2}{R1+R2})&\\
\end{flalign}
$$
## Voltage Divider with Load
When the output of the voltage divider is connected to something the current drops on the output, as that something uses some of it.
![Voltage Divider](./voltage-divider-load.svg)
The load is connected in parallel to R2, so we can calculate it as a parallel resistor.
The new Equation:
$$
\begin{flalign}
Vout & =\text{Vin }x*(\frac{R2 || RL}{R1+R2 || RL})&\\
\end{flalign}
$$
### Example
Lets calculate the current in this circuit:
![Voltage Divider Load Example](./voltage-divider-load-example.svg)
1. We calculate the Resistance in the subcircuit (R2 and RL) as they are connected in parallel which means
$$
\begin{align}
\frac{1}{Re}&=\frac{1}{R2}+\frac{1}{RL} &\textit{Replace Variables}\\
\frac{1}{Re}&=\frac{1}{100}+\frac{1}{150} &\textit{Add Fractions}\\
\frac{1}{Re}&=\frac{1}{60} &\textit{* Re}\\
1&=\frac{Re}{60} &\textit{* 60}\\
60&=Re \\
\end{align}
$$
The simplified circuit now looks like this;
![Voltage Divider Load Example](./voltage-divider-load-example-2.svg)
Now we can easily calculate the Resistance in the circuit
With the resistance we can now calculate the current inside the load circuit by using the simple voltage divider equation:
$$
\begin{flalign}
Vout &=\text{Vin }x*(\frac{Re}{R1+Re})&\\
Vout &=5*(\frac{60}{100+60})&\\
Vout &=5*(\frac{60}{100+60})&\\
Vout &=1.875v
\end{flalign}
$$

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# Movies
To Watch:
https://en.wikipedia.org/wiki/Roma_(2018_film)