<?xml version="1.0" encoding="utf-8"?><feed xmlns="http://www.w3.org/2005/Atom" ><generator uri="https://jekyllrb.com/" version="3.10.0">Jekyll</generator><link href="https://11110100.xyz/feed.xml" rel="self" type="application/atom+xml" /><link href="https://11110100.xyz/" rel="alternate" type="text/html" /><updated>2024-11-18T21:19:54+00:00</updated><id>https://11110100.xyz/feed.xml</id><title type="html">0xF4</title><subtitle>A kinda anonymous blog. The title &quot;0xF4&quot; is named after the domain, which I got because it costs a grand total of 67 cents a year.</subtitle><author><name>0xF4</name><email>0b11110100@gmail.com</email></author><entry><title type="html">Choosing wire sizes with SAE AS50881</title><link href="https://11110100.xyz/electronics/2024/11/18/wiresize.html" rel="alternate" type="text/html" title="Choosing wire sizes with SAE AS50881" /><published>2024-11-18T19:26:00+00:00</published><updated>2024-11-18T19:26:00+00:00</updated><id>https://11110100.xyz/electronics/2024/11/18/wiresize</id><content type="html" xml:base="https://11110100.xyz/electronics/2024/11/18/wiresize.html"><![CDATA[<div id="main">
    <div>
        <table id="table">
            <tr>
                <th>Material</th>
                <th>Wire size</th>
                <th class="tooltip">Max temp. rise (°C)
                    <span class="tooltiptext">Max wire temp minus max ambient temp</span>
                </th>
                <th># in bundle</th>
                <th># carrying current</th>
                <th>Single wire ampacity</th>
                <th>Total ampacity</th>
            </tr>
            <tr>
                <td>
                    <select name="material" class="update">
                        <option value="copper">Copper</option>
                        <option value="aluminum">Aluminum</option>
                    </select>
                </td>
                <td>
                    <select name="gauge" class="update">
                        <option value="28">28 AWG</option>
                        <option value="26">26 AWG</option>
                        <option value="24">24 AWG</option>
                        <option value="22" selected>22 AWG</option>
                        <option value="20">20 AWG</option>
                        <option value="18">18 AWG</option>
                        <option value="16">16 AWG</option>
                        <option value="14">14 AWG</option>
                        <option value="12">12 AWG</option>
                        <option value="10">10 AWG</option>
                        <option value="8">8 AWG</option>
                        <option value="6">6 AWG</option>
                        <option value="4">4 AWG</option>
                        <option value="2">2 AWG</option>
                        <option value="0">1/0 AWG</option>
                        <option value="00">2/0 AWG</option>
                        <option value="000">3/0 AWG</option>
                        <option value="0000">4/0 AWG</option>
                    </select>
                </td>
                <td>
                    <input type="number" class="update" name="max_temp" value="130" min="30" max="200">
                </td>
                <td>
                    <input type="number" class="update" name="num_bundle" value="3" min="0">
                </td>
                <td>
                    <input type="number" class="update" name="num_carrying_current"" value="2" min="0">
                </td>
                <td>0.0 A</td>
                <td>0.0 A</td>
            </tr>
        </table>
        <button id="add_row_button">Add another row</button>
        <div>
            <label for="altitude">Altitude (x1000 ft):</label>
            <input type="number" id="altitude" class="update" value="0" min="0" max="100">
        </div>
        <div>
            <label for="total_bundle_capacity">Total bundle ampacity:</label>
            <b><label id="total_bundle_capacity">16.56566086 A</label></b>
        </div>
        <h2>Explanation</h2>
        <div id="explanation">
            <p>
                I based this calculator off of SAE AS50881, which is a standard for wiring in aerospace vehicles. Among other things, it includes a process for wire sizing based of off how many wires are in the bundle and how many are carrying current.
            <p>
                Per the standard, these calculations only work for frequencies up to 800Hz. Above 800 Hz, skin effect and proximity effects become significant.
            <p>
                In reality, the numbers given here are probably only accurate to the standard by ~5%. The AS50881 standard has some information that is only available through graphs, and it doesn't give the equations, so I've had to reverse-engineer the equations behind the standard.
            <p>
                I've tried to make this reasonably accurate though; let me know if you find anything wrong. <b>If you're designing something serious, you might want to double check with the actual standard, not this random calculator you found on the internet.</b>
        </div>
    </div>
</div>]]></content><author><name>0xF4</name><email>0b11110100@gmail.com</email></author><category term="electronics" /><summary type="html"><![CDATA[calculate reasonable wire ampacities with SAE AS50881]]></summary></entry><entry><title type="html">Actually correct wire gauge conversions</title><link href="https://11110100.xyz/electronics/2024/11/18/wiregauge.html" rel="alternate" type="text/html" title="Actually correct wire gauge conversions" /><published>2024-11-18T05:43:26+00:00</published><updated>2024-11-18T05:43:26+00:00</updated><id>https://11110100.xyz/electronics/2024/11/18/wiregauge</id><content type="html" xml:base="https://11110100.xyz/electronics/2024/11/18/wiregauge.html"><![CDATA[<div id="main">
  <div id="AWG_mm2">
      <h2>AWG to mm²</h2>
      <table>
          <tr>
              <th>AWG</th>
              <th>mm²</th>
          </tr>
          <tr>
              <td>
                  <input type="text" id="inputAWG" name="AWG wire size" value="15">
              </td>
              <td id="outputMM2"></td>
          </tr>
          <tr>
              <td>36</td>
              <td>0.013</td>
          </tr>
          <tr>
              <td>34</td>
              <td>0.020</td>
          </tr>
          <tr>
              <td>32</td>
              <td>0.032</td>
          </tr>
          <tr>
              <td>30</td>
              <td>0.051</td>
          </tr>
          <tr>
              <td>28</td>
              <td>0.081</td>
          </tr>
          <tr>
              <td>26</td>
              <td>0.129</td>
          </tr>
          <tr>
              <td>24</td>
              <td>0.205</td>
          </tr>
          <tr>
              <td>22</td>
              <td>0.326</td>
          </tr>
          <tr>
              <td>20</td>
              <td>0.518</td>
          </tr>
          <tr>
              <td>18</td>
              <td>0.823</td>
          </tr>
          <tr>
              <td>16</td>
              <td>1.309</td>
          </tr>
          <tr>
              <td>14</td>
              <td>2.081</td>
          </tr>
          <tr>
              <td>12</td>
              <td>3.309</td>
          </tr>
          <tr>
              <td>10</td>
              <td>5.261</td>
          </tr>
          <tr>
              <td>8</td>
              <td>8.366</td>
          </tr>
          <tr>
              <td>6</td>
              <td>13.302</td>
          </tr>
          <tr>
              <td>4</td>
              <td>21.151</td>
          </tr>
          <tr>
              <td>2</td>
              <td>33.361</td>
          </tr>
          <tr>
              <td>1</td>
              <td>42.408</td>
          </tr>
          <tr>
              <td>1/0</td>
              <td>53.475</td>
          </tr>
          <tr>
              <td>2/0</td>
              <td>67.431</td>
          </tr>
          <tr>
              <td>3/0</td>
              <td>85.029</td>
          </tr>
          <tr>
              <td>4/0</td>
              <td>107.219</td>
          </tr>
      </table>
  </div>
  <div id="mm2_AWG">
      <h2>mm² to AWG</h2>
      <table>
          <tr>
              <th>mm²</th>
              <th>AWG</th>
          </tr>
          <tr>
              <td>
                  <input type="text" id="inputMM2" name="MM2 wire size" value="0.3">
              </td>
              <td id="outputAWG"></td>
          </tr>
          <tr>
              <td>0.13</td>
              <td>25.959</td>
          </tr>
          <tr>
              <td>0.25</td>
              <td>23.139</td>
          </tr>
          <tr>
              <td>0.35</td>
              <td>21.687</td>
          </tr>
          <tr>
              <td>0.5</td>
              <td>20.149</td>
          </tr>
          <tr>
              <td>0.75</td>
              <td>18.401</td>
          </tr>
          <tr>
              <td>1</td>
              <td>17.160</td>
          </tr>
          <tr>
              <td>1.2</td>
              <td>16.374</td>
          </tr>
          <tr>
              <td>1.5</td>
              <td>15.412</td>
          </tr>
          <tr>
              <td>1.75</td>
              <td>14.747</td>
          </tr>
          <tr>
              <td>2</td>
              <td>14.171</td>
          </tr>
          <tr>
              <td>2.5</td>
              <td>13.209</td>
          </tr>
          <tr>
              <td>4</td>
              <td>11.182</td>
          </tr>
          <tr>
              <td>6</td>
              <td>9.433</td>
          </tr>
          <tr>
              <td>8</td>
              <td>8.193</td>
          </tr>
          <tr>
              <td>10</td>
              <td>7.230</td>
          </tr>
          <tr>
              <td>12</td>
              <td>6.444</td>
          </tr>
          <tr>
              <td>16</td>
              <td>5.204</td>
          </tr>
          <tr>
              <td>25</td>
              <td>3.279</td>
          </tr>
          <tr>
              <td>35</td>
              <td>1.828</td>
          </tr>
          <tr>
              <td>50</td>
              <td>0.710/0</td>
          </tr>
          <tr>
              <td>70</td>
              <td>2.161/0</td>
          </tr>
          <tr>
              <td>95</td>
              <td>3.478/0</td>
          </tr>
          <tr>
              <td>120</td>
              <td>4.486/0</td>
          </tr>
      </table>
  </div>
  <div id="explanation">
      <h2>Explanation</h2>
      <p>
          A lot of wire size conversion tables out there are completely incorrect. Many label 1 AWG as 50 mm², even though it's not even close to that.
          This page uses the actual equations to give the correct conversions.
      </p>
      <p>
          Here's how it works: solid 36 AWG wire is defined as 0.005 inches in diameter, and solid 4/0 wire is defined as 0.46 inches in diameter.
          A smaller gauge number increases the wire diameter by a constant factor. This leads to the following equation,
          where d is the diameter of the wire, and n is the wire gauge in AWG:
      </p>
      <img src="https://latex.codecogs.com/svg.image?{\color{white}\large&space;d&space;=&space;0.005&space;\textrm{&space;in}&space;\times&space;92^{(36-n)/39}=&space;0.127&space;\textrm{&space;mm}&space;\times&space;92^{(36-n)/39}}" 
      title="https://latex.codecogs.com/svg.image?{\color{white}\large d = 0.005 \textrm{ in} \times 92^{(36-n)/39}= 0.127 \textrm{ mm} \times 92^{(36-n)/39}}" />
      <p>
          Using the formula for a circle's area, we get the following equation, where A is the cross-sectional area in mm²:
      </p>
      <img src="https://latex.codecogs.com/svg.image?{\color{white}\large&space;A&space;=&space;\frac{0.127^{2}&space;\pi}{4}&space;\times&space;92^{(36-n)/19.5}&space;\approx&space;0.012668&space;\times&space;92^{(36-n)/19.5}}" 
      title="https://latex.codecogs.com/svg.image?{\color{white}\large A = \frac{0.127^{2} \pi}{4} \times 92^{(36-n)/19.5} \approx 0.012668 \times 92^{(36-n)/19.5}}" />
      <p>
          To convert from mm² to AWG, we can just invert the equation:
      </p>
      <img src="https://latex.codecogs.com/svg.image?{\color{white}\large&space;&space;n&space;=&space;36-19.5\log_{92}\left(&space;\frac{4A}{0.127\textsuperscript{2}&space;\pi}&space;\right)&space;\approx&space;36-&space;19.5\log_{92}\left(&space;\frac{A}{0.012668}&space;\right)\}"
      title="https://latex.codecogs.com/svg.image?{\color{white}\large n = 36-19.5\log_{92}\left( \frac{4A}{0.127\textsuperscript{2} \pi} \right) \approx 36- 19.5\log_{92}\left( \frac{A}{0.012668} \right)}" />
      <p>
          Solid and stranded wires of the same gauge have the same cross-sectional area, so these conversions work with both solid and stranded wire.
      </p>
  </div>
</div>]]></content><author><name>0xF4</name><email>0b11110100@gmail.com</email></author><category term="electronics" /><summary type="html"><![CDATA[Wire gauge conversions that are based in reality]]></summary></entry></feed>