# fts_content

c0: SETTINGS
c1:
  This page contains settings for configuring SilverBullet and its plugs. Any changes outside of the yaml block will be overwritten.

  ```yaml
  indexPage: index
  ```


c0: Media
c1:
  # Movies

                                                                                                                     


c0: PLUGS
c1:
  This file lists all plugs that SilverBullet will load. Run the {[Plugs: Update]} command to update and reload this list of plugs.

  ```yaml
  - github:silverbulletmd/silverbullet-git/git.plug.json
  - github:bbroeksema/silverbullet-graphview/graphview.plug.json
  - github:silverbulletmd/silverbullet-katex/katex.plug.json
  ```


c0: Resources/electricity/passive-components/capacitors/impedance-reactance
c1:
  # Impedance/Reactance of capacitors

  ## Capacitive Reactance
  Is a measure of a capacitors opposition to alternating current.


  ```latex
  Xc  in \ohm
  X_{c} = \frac{1}{2 \pi fC}
  Xc = \textit{Capacity in } \ohm
  f = Frequency in Hertz
  C = Capacitance in Farads
  ```
  ![](graphXc.gif)

  Higher Frequence $\Rightarrow$ Lower Current Flow
  Higher Capacitance $\Rightarrow$ Lower Current Flow

  When the Frequency is 0, the capacitor acts as an open circuit
  When the Frequency is really high, the capacitor is equal to a simple wire

  **Example:**

  Calculate the capacitive reactance of a 220nF capacitor at a frequency of 1kHz and 20kHz

  ```latex
  \begin{flalign}
  &X_{c} = \frac{1}{2 \pi * 1000 * 220 * 10^{-9} } \\
  &X_{x} \approx \textbf{723.43} \ohm\\
  \\
  &X_{c} = \frac{1}{2 \pi * 20000 * 220 * 10^{-9} } \\
  &X_{x} \approx \textbf{36.17} \ohm\\
  \end{flalign}
  ```

  Here we can see when the frequency increases the reactive capacitance decreases

  **Example 2:**

  ```circuitjs
  $ 1 0.000005 10.20027730826997 50 5 43 5e-11
  v 208 256 208 144 0 1 80 5 0 0 0.5
  r 208 144 336 144 0 100
  c 336 144 336 256 0 0.000029999999999999997 -2.4446139526159825 0.001
  w 336 256 208 256 0
  ```

  How would we calculate the $I_{rms}$ of this circuit, we'll basically using Ohms Formular

  $$
  I_{rms} = \frac{V_{rms}}{R1+X_{c}}
  $$
  The Problem is, we can't just simply add up R1 and Xc, because Xc is shifted by 90°. We need to add them up as Vectors:

  $$
  R_{e} = \sqrt{R1^2+X_{c}^2}
  $$

  Lets fill in the numbers from the circuit above and test it out:

  $$
  \begin{flalign}
  &X_{c} = \frac{1}{2 \pi * 80 * 30 * 10^{-6}} &&\\\
  &X_{c} \approx 66.3 \ohm \\
  &V_{rms} = 3.5v \\
  \\
  &I_{rms} = \frac{3.5}{\sqrt{100^2+66.3^2}} \\
  &I_{rms} = \frac{3.5}{119.98} \\
  &I_{rms} = 0.029171033 A \\
  &I_{rms} \approx 29.17mA

  \end{flalign}
  $$


  ## Reality
  In reality capacitors are not perfect, they are more like:
  ![](rlc-capacitor.svg)

  So the have a $ESR$ and $X_{C}$ and $X_{L} / ESL$

  $$
  C_{IMP} = ESR + X_{C} + X_{L}
  $$

  Due to this the frequency to impedance curve of real capacitors look something like this.

  ![](EMC-9_graf_01.gif)

  When we add multiple capacitors we can get a curve looking like this

  ![](rlc-capacitor-multiple.png)


c0: Areas/index
c1:
  # Areas

  this is a new paragraph


                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         

  [[Areas/upv/index]]


c0: Resources
c1:
  # Resource

  It contains some ressources

  [SomeLink](Resources/dev/javascript.md#EasingFunctions)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             


c0: index
c1:
  # JimFX's Personal Wiki

  [[Resources]]

  [[Media/index|Media]]

  [[Archive/index|Archive]]

  [[Projects/index|Projects]]

  [[Areas/index|Areas]]


