Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Next revision		 Previous revision
dumm:dummy2 [2026/04/21 23:05] – created mexleadmindumm:dummy2 [2026/04/21 23:13] (current) – mexleadmin
Line 113: Line 113:
  
 By this, the course from low to high frequencies is easier to see. The following simulation in <imgref imageNo5> shows the amplitude response and frequency response in the lower left corner. By this, the course from low to high frequencies is easier to see. The following simulation in <imgref imageNo5> shows the amplitude response and frequency response in the lower left corner.
- 
- 
  
 <panel> <imgcaption imageNo5 |  RL high pass filter> </imgcaption> \\ <collapse id="imageNo5" collapsed="true"><well> {{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+Infinity+0.75+50+5+50%0A%25+2+1183.069613694428%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Ar+240+160+400+160+0+187%0Al+400+160+400+288+0+0.06545+0%0A170+240+160+208+160+3+20+1000+5+0.1%0A}}  </well></collapse> <panel> <imgcaption imageNo5 |  RL high pass filter> </imgcaption> \\ <collapse id="imageNo5" collapsed="true"><well> {{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+Infinity+0.75+50+5+50%0A%25+2+1183.069613694428%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Ar+240+160+400+160+0+187%0Al+400+160+400+288+0+0.06545+0%0A170+240+160+208+160+3+20+1000+5+0.1%0A}}  </well></collapse>
  
-<collapse id="imageNo5" collapsed="false"> <button type="warning" collapse="imageNo5">press here for the animation</button> </collapse> </panel> +<collapse id="imageNo5" collapsed="false"> <button type="warning" collapse="imageNo5">press here for the simulation</button> </collapse> </panel>
  
  
Line 212: Line 209:
 The cut-off frequency is again given by $f_{\rm c} = \frac{R}{2 \pi \cdot L}$. The cut-off frequency is again given by $f_{\rm c} = \frac{R}{2 \pi \cdot L}$.
  
-<WRAP centeralign>  + 
-<imgcaption imageNo6 | RL low pass filter>  +<panel> <imgcaption imageNo6 |  RL low pass filter> </imgcaption> \\ <collapse id="imageNo6" collapsed="true"><well> {{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+0.000005+0.75+50+5+50%0A%25+2+24389.095776063856%0Ar+400+160+400+288+0+35%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Al+240+160+400+160+0+0.06545+0%0A170+240+160+208+160+3+20+1000+5+0.1%0A}} 
-</imgcaption>\\ +</well></collapse> 
-{{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+0.000005+0.75+50+5+50%0A%25+2+24389.095776063856%0Ar+400+160+400+288+0+35%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Al+240+160+400+160+0+0.06545+0%0A170+240+160+208+160+3+20+1000+5+0.1%0A}} + 
-</WRAP>+<collapse id="imageNo6" collapsed="false"> <button type="warning" collapse="imageNo6">press here for the simulation</button> </collapse> </panel> 
 + 
  
 ~~PAGEBREAK~~ ~~CLEARFIX~~ ~~PAGEBREAK~~ ~~CLEARFIX~~
Line 243: Line 242:
 \end{align*} \end{align*}
  
-<WRAP centeralign>  
-<imgcaption imageNo7 | RC high pass filter>  
-</imgcaption>\\ 
-{{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+0.000005+0.75+50+5+50%0A%25+0+28853.998118144256%0Ac+240+160+400+160+0+0.00001+0%0Ar+400+160+400+288+0+35%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0A170+240+160+208+160+3+20+1000+5+0.1%0A 500,500 noborder}} 
-</WRAP> 
  
 +<panel> <imgcaption imageNo6 |  RC high pass filter> </imgcaption> \\ <collapse id="imageNo7" collapsed="true"><well> {{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+0.000005+0.75+50+5+50%0A%25+0+28853.998118144256%0Ac+240+160+400+160+0+0.00001+0%0Ar+400+160+400+288+0+35%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0A170+240+160+208+160+3+20+1000+5+0.1%0A 500,500 noborder}}
 +</well></collapse>
 +
 +<collapse id="imageNo7" collapsed="false"> <button type="warning" collapse="imageNo7">press here for the simulation</button> </collapse> </panel>
  
  
Line 269: Line 267:
 ~~PAGEBREAK~~ ~~CLEARFIX~~ ~~PAGEBREAK~~ ~~CLEARFIX~~
  
-<WRAP centeralign>  +<panel> <imgcaption imageNo8 |  RC high pass filter> </imgcaption> \\ <collapse id="imageNo8" collapsed="true"><well> {{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+0.000005+0.75+50+5+50%0A%25+0+28853.998118144256%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Ar+240+160+400+160+0+187%0Ac+400+160+400+288+0+0.00001+0%0A170+240+160+208+160+3+20+1000+5+0.1%0A 500,500 noborder}} 
-<imgcaption imageNo8 | RC low pass filter>  +</well></collapse> 
-</imgcaption>\\ + 
-{{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+0.000005+0.75+50+5+50%0A%25+0+28853.998118144256%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Ar+240+160+400+160+0+187%0Ac+400+160+400+288+0+0.00001+0%0A170+240+160+208+160+3+20+1000+5+0.1%0A 500,500 noborder}} +<collapse id="imageNo8" collapsed="false"> <button type="warning" collapse="imageNo8">press here for the simulation</button> </collapse> </panel> 
-</WRAP>+ 
  
 ==== RLC - Series Resonant Circuit ==== ==== RLC - Series Resonant Circuit ====
Line 355: Line 354:
 <WRAP> <imgcaption imageNo02 | Amplitude and Phase Response of a Series Resonant Circuit> </imgcaption> {{drawio>AmplitudeandPhaseResponse.svg}} </WRAP> <WRAP> <imgcaption imageNo02 | Amplitude and Phase Response of a Series Resonant Circuit> </imgcaption> {{drawio>AmplitudeandPhaseResponse.svg}} </WRAP>
  
-<accordion> +<accordion collapsed="true"> 
 <panel title="Series Resonant Circuit in Time Domain (Voltage on Inductor)">  <panel title="Series Resonant Circuit in Time Domain (Voltage on Inductor)"> 
 <WRAP>{{url>https://www.falstad.com/circuit/circuitjs.html?running=false&ctz=CQAgjCAMB0l5AWAnC1b0DYrQEw8gOyFgAcYArBpBkQlgpCOSAgMxMCmAtGGAFAAlcDhIgk9UeKjgWcJtMYxyfAE7DJWfBums+AYxBaxmktsWx4CAtgSUwGZCWrkkpGlhhx+AG0OnjfqJgBB7YXiBcMATIGDjRkE4EcZDkCFB8AOaB4CHZRop8+NYi2qzkOAFpAPYArgAufFXSEIwMSEHmLYbykHysoowAYhDsDIxg8BEQgyocAI41HAB2egCefEA 500,400 noborder}}  <WRAP>{{url>https://www.falstad.com/circuit/circuitjs.html?running=false&ctz=CQAgjCAMB0l5AWAnC1b0DYrQEw8gOyFgAcYArBpBkQlgpCOSAgMxMCmAtGGAFAAlcDhIgk9UeKjgWcJtMYxyfAE7DJWfBums+AYxBaxmktsWx4CAtgSUwGZCWrkkpGlhhx+AG0OnjfqJgBB7YXiBcMATIGDjRkE4EcZDkCFB8AOaB4CHZRop8+NYi2qzkOAFpAPYArgAufFXSEIwMSEHmLYbykHysoowAYhDsDIxg8BEQgyocAI41HAB2egCefEA 500,400 noborder}} 
Line 388: Line 387:
  
 === Decoupling Capacitor on the Microcontroller === === Decoupling Capacitor on the Microcontroller ===
 +
  
 [[http://www.falstad.com/circuit/circuitjs.html?cct=$+1+3.125e-9+0.7389056098930651+50+5+50%0AR+-256+144+-256+80+0+0+40000+0+5+0+0.5%0Ar+624+160+624+192+0+0.1%0Aw+624+144+624+160+0%0Aw+624+144+672+144+0%0Ag+672+208+672+224+0%0Ap+672+144+672+208+1+0%0Ap+-256+144+-256+208+1+0%0Ag+-256+208+-256+224+0%0Ar+176+144+224+144+0+0.02%0Al+112+144+176+144+0+3.0000000000000004e-7+0.0012646053584079516%0Aw+224+144+288+144+0%0Aw+-256+144+-208+144+0%0Al+-160+144+-96+144+0+0.000003+0.001714943880265035%0Ar+-96+144+-48+144+0+0.2%0Af+576+224+624+224+33+1.5+0.02%0Aw+624+192+624+208+0%0Ag+624+240+624+272+0%0AR+576+224+560+224+5+5+10000000+2.5+2.5+0+0.5%0Ar+288+272+288+208+0+0.01%0Al+288+208+288+144+0+1e-8+-3.95516952522712e-14%0Aw+336+144+288+144+0%0Aw+-160+144+-208+144+0%0Aw+624+144+560+144+0%0Ab+-192+96+-35+301+0%0Ax+-180+65+-54+68+4+18+Ersatzschaltbild%0Ac+-96+144+-96+208+0+1e-10+5.6099395909659755%0Ag+-96+208+-96+224+0%0Ax+-188+87+-34+90+4+18+5..50cm%5CsLeiterbahn%0Ax+83+87+242+90+4+18+0.5..5cm%5CsLeiterbahn%0Ax+91+65+217+68+4+18+Ersatzschaltbild%0Ag+176+208+176+224+0%0Ac+176+144+176+208+0+1e-10+5.828890665512928%0Ab+80+96+237+301+0%0Aw+80+144+112+144+0%0Ab+248+96+341+413+0%0Ax+232+444+358+447+4+18+Ersatzschaltbild%0Ax+231+470+337+473+4+18+100nF%5CsKerKo%0Aw+560+144+496+144+0%0Ax+555+87+673+90+4+18+Mikrocontroller%0Ax+552+65+678+68+4+18+Ersatzschaltbild%0Ab+521+96+726+301+0%0Aw+352+144+384+144+0%0Ab+352+96+509+301+0%0Ac+448+144+448+208+0+1e-11+5.8885188471740335%0Ag+448+208+448+224+0%0Ax+341+87+525+90+4+18+0.05..0.5cm%5CsLeiterbahn%0Al+384+144+448+144+0+3.0000000000000004e-8+0.0009675223894950857%0Ar+448+144+496+144+0+0.002%0Ax+-41+470+65+473+4+18+100nF%5CsKerKo%0Ax+-40+444+86+447+4+18+Ersatzschaltbild%0Ab+-24+96+69+413+0%0Aw+64+144+16+144+0%0Al+16+208+16+144+0+1e-8+1.5154544286133387e-13%0Ar+16+272+16+208+0+0.01%0Aw+-48+144+16+144+0%0Aw+64+144+80+144+0%0Ax+366+65+492+68+4+18+Ersatzschaltbild%0Aw+336+144+352+144+0%0Ax+186+352+225+355+4+32+S2%0As+288+320+288+352+0+1+false%0Ag+288+352+288+384+0%0Ac+288+272+288+320+2+1.0000000000000001e-7+5.013963438724142%0Ac+16+272+16+320+2+1.0000000000000001e-7+4.9684040165331345%0Ag+16+352+16+384+0%0As+16+320+16+352+0+1+false%0Ax+-79+352+-40+355+4+32+S1%0Ax+201+493+406+496+4+18+%22nahe%5Csam%5CsMikrocontroller%22%0Ao+6+8+0+4106+24.87604116742552+0.0001+0+2+5+0%0A|Simulation in Falstad]]. Note: The simulation gives a highly simplified picture. The response of the microcontroller is shown reduced to a triangular signal, since the slope of the voltages cannot be represented. A real simulation requires a powerful SPICE program in which the [[https://en.wikipedia.org/wiki/Transmission_line|conduction theory ]]can be represented. [[http://www.falstad.com/circuit/circuitjs.html?cct=$+1+3.125e-9+0.7389056098930651+50+5+50%0AR+-256+144+-256+80+0+0+40000+0+5+0+0.5%0Ar+624+160+624+192+0+0.1%0Aw+624+144+624+160+0%0Aw+624+144+672+144+0%0Ag+672+208+672+224+0%0Ap+672+144+672+208+1+0%0Ap+-256+144+-256+208+1+0%0Ag+-256+208+-256+224+0%0Ar+176+144+224+144+0+0.02%0Al+112+144+176+144+0+3.0000000000000004e-7+0.0012646053584079516%0Aw+224+144+288+144+0%0Aw+-256+144+-208+144+0%0Al+-160+144+-96+144+0+0.000003+0.001714943880265035%0Ar+-96+144+-48+144+0+0.2%0Af+576+224+624+224+33+1.5+0.02%0Aw+624+192+624+208+0%0Ag+624+240+624+272+0%0AR+576+224+560+224+5+5+10000000+2.5+2.5+0+0.5%0Ar+288+272+288+208+0+0.01%0Al+288+208+288+144+0+1e-8+-3.95516952522712e-14%0Aw+336+144+288+144+0%0Aw+-160+144+-208+144+0%0Aw+624+144+560+144+0%0Ab+-192+96+-35+301+0%0Ax+-180+65+-54+68+4+18+Ersatzschaltbild%0Ac+-96+144+-96+208+0+1e-10+5.6099395909659755%0Ag+-96+208+-96+224+0%0Ax+-188+87+-34+90+4+18+5..50cm%5CsLeiterbahn%0Ax+83+87+242+90+4+18+0.5..5cm%5CsLeiterbahn%0Ax+91+65+217+68+4+18+Ersatzschaltbild%0Ag+176+208+176+224+0%0Ac+176+144+176+208+0+1e-10+5.828890665512928%0Ab+80+96+237+301+0%0Aw+80+144+112+144+0%0Ab+248+96+341+413+0%0Ax+232+444+358+447+4+18+Ersatzschaltbild%0Ax+231+470+337+473+4+18+100nF%5CsKerKo%0Aw+560+144+496+144+0%0Ax+555+87+673+90+4+18+Mikrocontroller%0Ax+552+65+678+68+4+18+Ersatzschaltbild%0Ab+521+96+726+301+0%0Aw+352+144+384+144+0%0Ab+352+96+509+301+0%0Ac+448+144+448+208+0+1e-11+5.8885188471740335%0Ag+448+208+448+224+0%0Ax+341+87+525+90+4+18+0.05..0.5cm%5CsLeiterbahn%0Al+384+144+448+144+0+3.0000000000000004e-8+0.0009675223894950857%0Ar+448+144+496+144+0+0.002%0Ax+-41+470+65+473+4+18+100nF%5CsKerKo%0Ax+-40+444+86+447+4+18+Ersatzschaltbild%0Ab+-24+96+69+413+0%0Aw+64+144+16+144+0%0Al+16+208+16+144+0+1e-8+1.5154544286133387e-13%0Ar+16+272+16+208+0+0.01%0Aw+-48+144+16+144+0%0Aw+64+144+80+144+0%0Ax+366+65+492+68+4+18+Ersatzschaltbild%0Aw+336+144+352+144+0%0Ax+186+352+225+355+4+32+S2%0As+288+320+288+352+0+1+false%0Ag+288+352+288+384+0%0Ac+288+272+288+320+2+1.0000000000000001e-7+5.013963438724142%0Ac+16+272+16+320+2+1.0000000000000001e-7+4.9684040165331345%0Ag+16+352+16+384+0%0As+16+320+16+352+0+1+false%0Ax+-79+352+-40+355+4+32+S1%0Ax+201+493+406+496+4+18+%22nahe%5Csam%5CsMikrocontroller%22%0Ao+6+8+0+4106+24.87604116742552+0.0001+0+2+5+0%0A|Simulation in Falstad]]. Note: The simulation gives a highly simplified picture. The response of the microcontroller is shown reduced to a triangular signal, since the slope of the voltages cannot be represented. A real simulation requires a powerful SPICE program in which the [[https://en.wikipedia.org/wiki/Transmission_line|conduction theory ]]can be represented.
Line 397: Line 397:
 [[https://www.electronics-tutorials.ws/oscillator/crystal.html|more background]] [[https://www.electronics-tutorials.ws/oscillator/crystal.html|more background]]
  
-Simulation in Time Domain <WRAP>{{url>https://www.falstad.com/circuit/circuitjs.html?running=false&ctz=CQAgjCBMCmC0CcIAMA6SA2JB2AzAFi0izByXgyyyhyhQFYQ8a64wwAoAcxCwA49GYdD36MckZMnYBjEQPFI5IHOl6ScrCIqTsA7krCQ1veMMNqdssEl5qF4G3dXrNknfpNmjIeOXDf3Hzx5SEVfCXtAz2VQoJDtGR8-cySI2MU8VwSAGxBo0ONTfwtkFCRytl8q6prEVCQtMo5ZfLphfJtJPBQ8cr7+-rBWCQSAJzyi+1bhbRQObmtbQTNHMRGpcb4BPCElFRKh2EN2AA8HJAkChzBESDZGKAEAYVOfMAY74XhxKBuHyGer2+lwBQUUkCID0MIAAyq9rH9Pg5IB8-gJoToAEZ5PBqNjopAqZREwKLOyxcIxBJnaI4OgE8rKOhUdHGACyAAkAF4AHQAztJRgBPPkAFwAhtkge8oFgBMDZSzHiAAEpAulQXgSeBMTUMdESOHvCDwaGwH7WTrm9brOjsAAybwksFxeXQAhdBxAADNJXzoCAGIFTc7dlsQEcZnolJG9iNo2SIxbymprRsHEsdislvtJIdjuNE2nEz9FJbygnVu6M+SEvpw9XwykdJtRMmc+ty311WX0NqcHj0Pr-LDpTR3vKMOBmf8BPb4e9wWZ3pdEAaQABLBekcB4sAEX6z1ULu7EiBsfDE7Yj+2QBdIELjwwQcTCASgl5nLDwck0Xgy18j0-PIAJwCAtTsS913tDh6zbWImwCdhsTlCBYD4cAhDXCxpTULAywfCBcChNQNwAOz5DcABNoH5UUAAtaL5NkngAVXYUIqAbAR-2EasBAAeRhJ5+QASQAOQ47AaxAas2FifiQCEkS+QE1iABVo24uMpH0RM5NWUspKoIsLUMRQ0wEAARDdOA3CVsn5NTNK-dAqBdBh+A9PAJHRQThP5ABRMjxUxbJoHYAB7MRwC6awJCDMo+ngLAhz7IMoBimhlLEyTouCWKMnihxSn6FK0pRSRfPkJSAtUjSosYEy4ouQNSuS1K2kq8EmuUEAbLshynIaoA 800,800 noborder}} </WRAP>+<panel> <imgcaption imageNo97 | Simulation in Time Domain> </imgcaption> \\ <collapse id="imageNo97" collapsed="true"><well> {{url>https://www.falstad.com/circuit/circuitjs.html?running=false&ctz=CQAgjCBMCmC0CcIAMA6SA2JB2AzAFi0izByXgyyyhyhQFYQ8a64wwAoAcxCwA49GYdD36MckZMnYBjEQPFI5IHOl6ScrCIqTsA7krCQ1veMMNqdssEl5qF4G3dXrNknfpNmjIeOXDf3Hzx5SEVfCXtAz2VQoJDtGR8-cySI2MU8VwSAGxBo0ONTfwtkFCRytl8q6prEVCQtMo5ZfLphfJtJPBQ8cr7+-rBWCQSAJzyi+1bhbRQObmtbQTNHMRGpcb4BPCElFRKh2EN2AA8HJAkChzBESDZGKAEAYVOfMAY74XhxKBuHyGer2+lwBQUUkCID0MIAAyq9rH9Pg5IB8-gJoToAEZ5PBqNjopAqZREwKLOyxcIxBJnaI4OgE8rKOhUdHGACyAAkAF4AHQAztJRgBPPkAFwAhtkge8oFgBMDZSzHiAAEpAulQXgSeBMTUMdESOHvCDwaGwH7WTrm9brOjsAAybwksFxeXQAhdBxAADNJXzoCAGIFTc7dlsQEcZnolJG9iNo2SIxbymprRsHEsdislvtJIdjuNE2nEz9FJbygnVu6M+SEvpw9XwykdJtRMmc+ty311WX0NqcHj0Pr-LDpTR3vKMOBmf8BPb4e9wWZ3pdEAaQABLBekcB4sAEX6z1ULu7EiBsfDE7Yj+2QBdIELjwwQcTCASgl5nLDwck0Xgy18j0-PIAJwCAtTsS913tDh6zbWImwCdhsTlCBYD4cAhDXCxpTULAywfCBcChNQNwAOz5DcABNoH5UUAAtaL5NkngAVXYUIqAbAR-2EasBAAeRhJ5+QASQAOQ47AaxAas2FifiQCEkS+QE1iABVo24uMpH0RM5NWUspKoIsLUMRQ0wEAARDdOA3CVsn5NTNK-dAqBdBh+A9PAJHRQThP5ABRMjxUxbJoHYAB7MRwC6awJCDMo+ngLAhz7IMoBimhlLEyTouCWKMnihxSn6FK0pRSRfPkJSAtUjSosYEy4ouQNSuS1K2kq8EmuUEAbLshynIaoA 800,800 noborder}} </well></collapse> 
 + 
 +<collapse id="imageNo97" collapsed="false"> <button type="warning" collapse="imageNo97">press here for the simulation</button> </collapse> </panel> 
 + 
 + 
 + 
 + 
 +<panel> <imgcaption imageNo98 | Simulation in Frequency Domain> </imgcaption> \\ <collapse id="imageNo98" collapsed="true"><well> {{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+0.000005+0.75+50+5+50%0A%25+4+252791342.77679944%0A170+448+48+416+48+3+20+1000+5+0.1%0Ax+695+186+703+189+4+12+S%0Ax+675+178+692+181+4+24+R%0Ax+820+37+924+40+4+18+8MHz+crystal%0Ax+378+102+544+105+4+18+linear+voltage+source%0Aw+512+48+576+48+0%0Ax+803+130+809+133+4+12+0%0Ax+695+131+703+134+4+12+S%0Ax+678+123+695+126+4+24+C%0Ax+786+122+803+125+4+24+C%0AO+848+144+912+144+0%0Ar+448+48+512+48+0+1%0Ar+656+208+656+160+0+0.1%0Ac+656+160+656+112+0+4.400000000000001e-12+-5.033145800262313%0Al+656+112+656+48+0+0.00009499999999999999+0%0Ac+752+48+752+208+0+5e-11+-0.6291750159603016%0Aw+656+208+752+208+0%0Aw+656+48+752+48+0%0Aw+576+48+656+48+0%0Ac+576+112+576+48+0+3e-11+0.0012090544090004919%0Ag+576+112+576+144+0%0Aw+752+208+800+208+2%0AB+384+16+528+80+2+Box%0Ag+848+208+848+224+0%0Ac+848+208+848+144+0+3e-11+0.0012090544090004919%0AB+624+16+816+240+2+Box%0Aw+800+208+800+144+0%0Aw+800+144+848+144+0%0A noborder}} 
 +</well></collapse>
  
-Simulation in Frequency Domain <WRAP>{{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+0.000005+0.75+50+5+50%0A%25+4+252791342.77679944%0A170+448+48+416+48+3+20+1000+5+0.1%0Ax+695+186+703+189+4+12+S%0Ax+675+178+692+181+4+24+R%0Ax+820+37+924+40+4+18+8MHz+crystal%0Ax+378+102+544+105+4+18+linear+voltage+source%0Aw+512+48+576+48+0%0Ax+803+130+809+133+4+12+0%0Ax+695+131+703+134+4+12+S%0Ax+678+123+695+126+4+24+C%0Ax+786+122+803+125+4+24+C%0AO+848+144+912+144+0%0Ar+448+48+512+48+0+1%0Ar+656+208+656+160+0+0.1%0Ac+656+160+656+112+0+4.400000000000001e-12+-5.033145800262313%0Al+656+112+656+48+0+0.00009499999999999999+0%0Ac+752+48+752+208+0+5e-11+-0.6291750159603016%0Aw+656+208+752+208+0%0Aw+656+48+752+48+0%0Aw+576+48+656+48+0%0Ac+576+112+576+48+0+3e-11+0.0012090544090004919%0Ag+576+112+576+144+0%0Aw+752+208+800+208+2%0AB+384+16+528+80+2+Box%0Ag+848+208+848+224+0%0Ac+848+208+848+144+0+3e-11+0.0012090544090004919%0AB+624+16+816+240+2+Box%0Aw+800+208+800+144+0%0Aw+800+144+848+144+0%0A noborder}} </WRAP>+<collapse id="imageNo98" collapsed="false"> <button type="warning" collapse="imageNo98">press here for the simulation</button> </collapse> </panel>
  
 [[https://www.falstad.com/circuit/crystal.html|setup for the design]] [[https://www.falstad.com/circuit/crystal.html|setup for the design]]