﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.99.7921.69"?>
<worksheet xmlns="http://smath.info/schemas/worksheet/1.0">
  <settings ppi="96">
    <identity>
      <id>8e8ac800-3f2c-4e2f-b78c-a513e5103437</id>
      <revision>173</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <trailingZeros>false</trailingZeros>
      <significantDigitsMode>false</significantDigitsMode>
      <roundingMode>0</roundingMode>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="false" viewMode="2" printGrid="false" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="8" orientation="Landscape" width="1654" height="1169" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.99.7921.69" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="MathRegion" version="1.11.7921.69" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="PictureRegion" version="1.10.7921.69" guid="06b5df04-393e-4be7-9107-305196fcb861" />
      <assembly name="SpecialFunctions" version="1.12.7921.69" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Maple Tools" version="1.1.7809.39615" guid="32dfd679-8cfd-483a-b79a-19d5ea838750" />
      <assembly name="TextRegion" version="1.11.7921.69" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Nonlinear Solvers" version="1.1.7097.23301" guid="618b7e96-330a-406a-b055-9e577672f0b8" />
      <assembly name="ALGLIB® - numerical analysis library" version="1.0.8025.20709" guid="8e40b49c-3681-4332-903d-751303860e7b" />
      <assembly name="Mathcad Toolbox" version="0.3.8020.27889" guid="ddc09821-49f1-4c21-a829-6499de0a8f06" />
    </dependencies>
  </settings>
  <regions type="content">
    <region left="0" top="0" width="606" height="36" color="#000000" fontSize="18" isBreakable="false">
      <text lang="eng" fontFamily="Arial" fontSize="10">
        <content>
          <p style="font-weight: bold; text-decoration: underline; font-family: Arial; font-size: 18px;">Resistive Voltage Divider Solve for R2 (or any variable)?</p>
        </content>
      </text>
    </region>
    <region left="702" top="27" width="648" height="386" color="#000000">
      <picture>
        <raw format="png" encoding="base64">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</raw>
      </picture>
    </region>
    <region left="1332" top="27" width="54" height="24" color="#ffffff" fontSize="10">
      <math decimalPlaces="2">
        <input>
          <e type="operand">dB</e>
          <e type="operand">1</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="45" width="58" height="24" color="#000000" fontSize="10" isBreakable="false">
      <text lang="eng" fontFamily="Arial" fontSize="10">
        <content>
          <p style="font-weight: bold; text-decoration: underline; font-family: Arial;">Inputs: </p>
        </content>
      </text>
    </region>
    <region left="0" top="72" width="80" height="32" border="true" color="#000000" bgColor="#ffff00" fontSize="10">
      <math decimalPlaces="1">
        <input>
          <e type="operand">V.in</e>
          <e type="operand">12</e>
          <e type="operand" style="unit">V</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="216" top="72" width="370" height="24" color="#808080" fontSize="10" isBreakable="false">
      <text lang="eng" width="370" fontFamily="Arial" fontSize="10">
        <content>
          <p style="color: #808080; background-color: #ffffff;">Input voltage</p>
        </content>
      </text>
    </region>
    <region left="0" top="108" width="90" height="24" border="true" color="#000000" bgColor="#ffff00" fontSize="10">
      <math decimalPlaces="1">
        <input>
          <e type="operand">R1</e>
          <e type="operand">1.5</e>
          <e type="operand" style="unit">kΩ</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="216" top="108" width="231" height="24" color="#808080" fontSize="10" isBreakable="false">
      <text lang="eng" width="231" fontFamily="Arial" fontSize="10">
        <content>
          <p style="color: #808080; background-color: #ffffff;">Top voltage divider resistor (series)</p>
        </content>
      </text>
    </region>
    <region left="0" top="144" width="90" height="24" border="true" color="#000000" bgColor="#ffff00" fontSize="10">
      <math decimalPlaces="1">
        <input>
          <e type="operand">R2</e>
          <e type="operand">1.5</e>
          <e type="operand" style="unit">kΩ</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="216" top="144" width="231" height="24" color="#808080" fontSize="10" isBreakable="false">
      <text lang="eng" width="231" fontFamily="Arial" fontSize="10">
        <content>
          <p style="color: #808080; background-color: #ffffff;">Lower voltage divider resistor (shunt)</p>
        </content>
      </text>
    </region>
    <region left="0" top="180" width="95" height="32" border="true" color="#000000" bgColor="#ffff00" fontSize="10">
      <math decimalPlaces="1">
        <input>
          <e type="operand">V.out</e>
          <e type="operand">3.5</e>
          <e type="operand" style="unit">V</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="216" top="189" width="370" height="24" color="#808080" fontSize="10" isBreakable="false">
      <text lang="eng" width="370" fontFamily="Arial" fontSize="10">
        <content>
          <p style="color: #808080; background-color: #ffffff;">Output voltage</p>
        </content>
      </text>
    </region>
    <region left="0" top="243" width="69" height="24" color="#000000" fontSize="10" isBreakable="false">
      <text lang="eng" fontFamily="Arial" fontSize="10">
        <content>
          <p style="font-weight: bold; text-decoration: underline; font-family: Arial;">Formula: </p>
        </content>
      </text>
    </region>
    <region left="0" top="306" width="166" height="49" color="#000000" fontSize="12">
      <math evaluate="false" decimalPlaces="2" trailingZeros="true">
        <input>
          <e type="operand">V.out</e>
          <e type="operand">V.in</e>
          <e type="operand">R2</e>
          <e type="operand">R1</e>
          <e type="operand">R2</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="252" top="324" width="231" height="24" color="#808080" fontSize="10" isBreakable="false">
      <text lang="eng" width="231" fontFamily="Arial" fontSize="10">
        <content>
          <p style="color: #808080; background-color: #ffffff;">Voltage divider formula</p>
        </content>
      </text>
    </region>
    <region left="9" top="405" width="166" height="27" color="#000000" fontSize="12">
      <text lang="eng" fontFamily="Arial" fontSize="12">
        <content>
          <p>How do I solve for R?</p>
        </content>
      </text>
    </region>
    <region left="945" top="450" width="461" height="27" color="#808080" fontSize="12" isBreakable="false">
      <text lang="eng" width="461" fontFamily="Arial" fontSize="12">
        <content>
          <p style="color: #808080;">20220408 Voltage Divider Solve.sm</p>
        </content>
      </text>
    </region>
    <region left="0" top="477" width="49" height="24" color="#000000" fontSize="10" isBreakable="false">
      <text lang="eng" fontFamily="Arial" fontSize="10">
        <content>
          <p>END. </p>
        </content>
      </text>
    </region>
    <region left="441" top="540" width="107" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">R2</e>
          <e type="function" args="1">Clear</e>
        </input>
        <result action="numeric">
          <e type="operand">1</e>
        </result>
      </math>
    </region>
    <region left="9" top="558" width="331" height="45" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">V.out</e>
          <e type="operand">V.in</e>
          <e type="operand">R2</e>
          <e type="operand" style="unit">kΩ</e>
          <e type="operator" args="2">*</e>
          <e type="operand">R1</e>
          <e type="operand">R2</e>
          <e type="operand" style="unit">kΩ</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">R2</e>
          <e type="function" args="2">solve</e>
        </input>
        <result action="numeric">
          <e type="operand">0.6001</e>
          <e type="operand">0.6176</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">mat</e>
        </result>
      </math>
    </region>
    <region left="9" top="612" width="316" height="43" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">V.out</e>
          <e type="operand">V.in</e>
          <e type="operand">R2</e>
          <e type="operand" style="unit">kΩ</e>
          <e type="operator" args="2">*</e>
          <e type="operand">R1</e>
          <e type="operand">R2</e>
          <e type="operand" style="unit">kΩ</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">R2</e>
          <e type="function" args="2">roots</e>
        </input>
        <result action="numeric">
          <e type="operand">0.6176</e>
        </result>
      </math>
    </region>
    <region left="9" top="657" width="371" height="45" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">V.out</e>
          <e type="operand">V.in</e>
          <e type="operand">R2</e>
          <e type="operand">R1</e>
          <e type="operand">R2</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">R2</e>
          <e type="function" args="2">solve</e>
          <e type="function" args="1">maple</e>
        </input>
        <contract>
          <e type="operand" style="unit">kΩ</e>
        </contract>
        <result action="numeric">
          <e type="operand">0.6176</e>
        </result>
      </math>
    </region>
    <region left="9" top="711" width="384" height="43" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">V.out</e>
          <e type="operand">V.in</e>
          <e type="operand">R2</e>
          <e type="operand">R1</e>
          <e type="operand">R2</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">R2</e>
          <e type="operand">1</e>
          <e type="operand" style="unit">kΩ</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">≡</e>
          <e type="function" args="2">FindRoot</e>
        </input>
        <contract>
          <e type="operand" style="unit">kΩ</e>
        </contract>
        <result action="numeric">
          <e type="operand">0.6176</e>
        </result>
      </math>
    </region>
    <region left="441" top="738" width="107" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">R2</e>
          <e type="function" args="1">Clear</e>
        </input>
        <result action="numeric">
          <e type="operand">1</e>
        </result>
      </math>
    </region>
    <region left="18" top="774" width="171" height="62" color="#000000" fontSize="10">
      <mathcadblock width="161" height="54">
        <input>
          <e type="operand">R2</e>
          <e type="operand">1</e>
          <e type="operand" style="unit">kΩ</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">≡</e>
          <e type="function" args="1">FindRoot</e>
        </input>
      </mathcadblock>
    </region>
    <region left="27" top="783" width="146" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">V.out</e>
          <e type="operand">V.in</e>
          <e type="operand">R2</e>
          <e type="operand">R1</e>
          <e type="operand">R2</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">≡</e>
        </input>
      </math>
    </region>
    <region left="18" top="864" width="120" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">R2</e>
        </input>
        <result action="numeric">
          <e type="operand">617.6446</e>
          <e type="operand" style="unit">Ω</e>
          <e type="operator" args="2">*</e>
        </result>
      </math>
    </region>
    <region left="441" top="864" width="107" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">R2</e>
          <e type="function" args="1">Clear</e>
        </input>
        <result action="numeric">
          <e type="operand">1</e>
        </result>
      </math>
    </region>
    <region left="9" top="909" width="222" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">R2</e>
          <e type="function" args="1">equ</e>
          <e type="operand">V.out</e>
          <e type="operand">V.in</e>
          <e type="operand">R2</e>
          <e type="operand">R1</e>
          <e type="operand">R2</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="954" width="146" height="35" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">v</e>
          <e type="function" args="1">f</e>
          <e type="operand">v</e>
          <e type="operand">1</e>
          <e type="function" args="2">el</e>
          <e type="operand" style="unit">kΩ</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">equ</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="990" width="271" height="29" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="function" args="3">mat</e>
          <e type="operand">X</e>
          <e type="function" args="1">f</e>
          <e type="function" args="2">al_nleqsolve</e>
        </input>
        <result action="numeric">
          <e type="operand">0.6176</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="function" args="3">mat</e>
        </result>
      </math>
    </region>
  </regions>
</worksheet>