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| electrical_engineering_and_electronics_2:block08 [2026/04/21 23:24] – mexleadmin | electrical_engineering_and_electronics_2:block08 [2026/04/21 23:54] (current) – mexleadmin |
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| | <imgcaption imageNo5|>[[https://www.falstad.com/afilter/circuitjs.html?cct=$+1+Infinity+0.75+50+5+50%0A%25+2+1183.069613694428%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Ar+240+160+400+160+0+187%0Al+400+160+400+288+0+0.06545+0%0A170+240+160+208+160+3+20+1000+5+0.1%0A|{{:electrical_engineering_and_electronics_2:imageno5.jpg|click to start simulation}}]] |
| [[https://www.falstad.com/afilter/circuitjs.html?cct=$+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| {{electrical_engineering_and_electronics_2:imageno5.jpg}}]] | </imgcaption> |
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| For further consideration, the equation of the transfer function $\underline{A} = \dfrac {\underline{U}_{\rm O}^\phantom{O}}{\underline{U}_{\rm I}^\phantom{O}}$ is to be rewritten so that it becomes independent of component values $R$ and $L$.\\ | For further consideration, the equation of the transfer function $\underline{A} = \dfrac {\underline{U}_{\rm O}^\phantom{O}}{\underline{U}_{\rm I}^\phantom{O}}$ is to be rewritten so that it becomes independent of component values $R$ and $L$.\\ |
| 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 $f_{\rm c} = \frac{R}{2 \pi \cdot L}$. |
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| <WRAP centeralign> | <imgcaption imageNo6|>[[https://www.falstad.com/afilter/circuitjs.html?cct=$+1+0.000005+0.75+50+5+50%0A%25+2+24389.095776063856%0Ar+400+160+400+288+0+35%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Al+240+160+400+160+0+0.06545+0%0A170+240+160+208+160+3+20+1000+5+0.1%0A|{{:electrical_engineering_and_electronics_2:imageno6.jpg|click to start simulation}}]] |
| <imgcaption imageNo6 | RL low pass filter> | </imgcaption> |
| </imgcaption>\\ | |
| [[https://www.falstad.com/afilter/circuitjs.html?cct=$+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 | {{:electrical_engineering_and_electronics_2:imageno6.jpg}}]] | |
| </WRAP> | |
| |
| ~~PAGEBREAK~~ ~~CLEARFIX~~ | ~~PAGEBREAK~~ ~~CLEARFIX~~ |
| \end{align*} | \end{align*} |
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| <WRAP centeralign> | <imgcaption imageNo7|>[[https://www.falstad.com/afilter/circuitjs.html?cct=$+1+0.000005+0.75+50+5+50%0A%25+0+28853.998118144256%0Ac+240+160+400+160+0+0.00001+0%0Ar+400+160+400+288+0+35%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0A170+240+160+208+160+3+20+1000+5+0.1%0A|{{:electrical_engineering_and_electronics_2:imageno7.jpg|click to start simulation}}]] |
| <imgcaption imageNo7 | RC high pass filter> | </imgcaption> |
| </imgcaption>\\ | |
| [[https://www.falstad.com/afilter/circuitjs.html?cct=$+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 | {{electrical_engineering_and_electronics_2:imageno7.jpg}}]] | |
| </WRAP> | |
| |
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| ~~PAGEBREAK~~ ~~CLEARFIX~~ | ~~PAGEBREAK~~ ~~CLEARFIX~~ |
| |
| <WRAP centeralign> | <imgcaption imageNo8|>[[https://www.falstad.com/afilter/circuitjs.html?cct=$+1+0.000005+0.75+50+5+50%0A%25+0+28853.998118144256%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Ar+240+160+400+160+0+187%0Ac+400+160+400+288+0+0.00001+0%0A170+240+160+208+160+3+20+1000+5+0.1%0A|{{:electrical_engineering_and_electronics_2:imageno8.jpg|click to start simulation}}]] |
| <imgcaption imageNo8 | RC low pass filter> | </imgcaption> |
| </imgcaption>\\ | |
| [[https://www.falstad.com/afilter/circuitjs.html?cct=$+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 | {{electrical_engineering_and_electronics_2:imageno8.jpg}}]] | |
| </WRAP> | |
| |
| ==== RLC - Series Resonant Circuit ==== | ==== RLC - Series Resonant Circuit ==== |
| <accordion> | <accordion> |
| <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}} | <imgcaption imageNo51|> |
| </WRAP> </panel> | [[https://www.falstad.com/circuit/circuitjs.html?running=false&ctz=CQAgjCAMB0l5AWAnC1b0DYrQEw8gOyFgAcYArBpBkQlgpCOSAgMxMCmAtGGAFAAlcDhIgk9UeKjgWcJtMYxyfAE7DJWfBums+AYxBaxmktsWx4CAtgSUwGZCWrkkpGlhhx+AG0OnjfqJgBB7YXiBcMATIGDjRkE4EcZDkCFB8AOaB4CHZRop8+NYi2qzkOAFpAPYArgAufFXSEIwMSEHmLYbykHysoowAYhDsDIxg8BEQgyocAI41HAB2egCefEA|{{electrical_engineering_and_electronics_2:imageno51.jpg|click to start simulation}}]] |
| | </imgcaption> |
| | </panel> |
| |
| <panel title="Series Resonant Circuit in Frequency Domain (Voltage on Inductor)"> | <panel title="Series Resonant Circuit in Frequency Domain (Voltage on Inductor)"> |
| <WRAP>{{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+Infinity+0.75+50+5+50%0A%25+0+303633.8585081898%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Ar+176+160+288+160+0+3%0Ac+400+160+288+160+0+0.000047+0%0A170+176+160+144+160+3+20+1000+5+0.1%0Al+400+288+400+160+0+0.001+0%0A 500,400 noborder}} | <imgcaption imageNo52|> |
| </WRAP> </panel> | [[www.falstad.com/afilter/circuitjs.html?cct=$+1+Infinity+0.75+50+5+50%0A%25+0+303633.8585081898%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Ar+176+160+288+160+0+3%0Ac+400+160+288+160+0+0.000047+0%0A170+176+160+144+160+3+20+1000+5+0.1%0Al+400+288+400+160+0+0.001+0%0A|{{electrical_engineering_and_electronics_2:imageno52.jpg|click to start simulation}}]] |
| | </imgcaption> |
| | </panel> |
| |
| <panel title="Series Resonant Circuit in Frequency Domain (Voltage on Capacitor)"> | <panel title="Series Resonant Circuit in Frequency Domain (Voltage on Capacitor)"> |
| <WRAP>{{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+Infinity+0.75+50+5+50%0A%25+0+303633.8585081898%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Ar+176+160+288+160+0+3%0Ac+400+160+400+288+0+0.000047+0%0A170+176+160+144+160+3+20+1000+5+0.1%0Al+288+160+400+160+0+0.001+0%0A 500,400 noborder}} | <imgcaption imageNo53|> |
| </WRAP> ~~PAGEBREAK~~ ~~CLEARFIX~~ </panel> | [[https://www.falstad.com/afilter/circuitjs.html?cct=$+1+Infinity+0.75+50+5+50%0A%25+0+303633.8585081898%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Ar+176+160+288+160+0+3%0Ac+400+160+400+288+0+0.000047+0%0A170+176+160+144+160+3+20+1000+5+0.1%0Al+288+160+400+160+0+0.001+0%0A|{{electrical_engineering_and_electronics_2:imageno53.jpg|click to start simulation}}]] |
| | </imgcaption> |
| | </panel> |
| |
| <panel title="Series Resonant Circuit in Frequency Domain (Voltage on Resistor)"> | <panel title="Series Resonant Circuit in Frequency Domain (Voltage on Resistor)"> |
| <WRAP>{{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+Infinity+0.75+50+5+50%0A%25+0+303633.8585081898%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Ar+400+160+400+288+0+3%0Ac+176+160+288+160+0+0.000047+0%0A170+176+160+144+160+3+20+1000+5+0.1%0Al+288+160+400+160+0+0.001+0%0A 500,400 noborder}} | <imgcaption imageNo54|> |
| </WRAP> </panel> | [[https://www.falstad.com/afilter/circuitjs.html?cct=$+1+Infinity+0.75+50+5+50%0A%25+0+303633.8585081898%0AO+400+160+512+160+0%0Ag+400+288+400+320+0%0Ar+400+160+400+288+0+3%0Ac+176+160+288+160+0+0.000047+0%0A170+176+160+144+160+3+20+1000+5+0.1%0Al+288+160+400+160+0+0.001+0%0A|{{electrical_engineering_and_electronics_2:imageno54.jpg|click to start simulation}}]] |
| | </imgcaption> |
| | </panel> |
| |
| <panel title="Parallel Resonant Circuit in Frequency Domain (Voltage on Resistor)"> | <panel title="Parallel Resonant Circuit in Frequency Domain (Voltage on Resistor)"> |
| <WRAP>{{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+Infinity+0.75+50+5+50%0A%25+0+303633.8585081898%0AO+368+288+416+288+0%0Ag+336+368+336+400+0%0Ar+336+288+336+368+0+1%0Ac+304+288+304+160+0+0.000047+0%0A170+304+160+256+160+3+20+1000+5+0.1%0Al+368+288+368+160+0+0.001+0%0Aw+304+160+368+160+0%0Aw+304+288+336+288+0%0Aw+368+288+336+288+0%0A 500,400 noborder}} | <imgcaption imageNo55|> |
| </WRAP> </panel> </accordion> | [[https://www.falstad.com/afilter/circuitjs.html?cct=$+1+Infinity+0.75+50+5+50%0A%25+0+303633.8585081898%0AO+368+288+416+288+0%0Ag+336+368+336+400+0%0Ar+336+288+336+368+0+1%0Ac+304+288+304+160+0+0.000047+0%0A170+304+160+256+160+3+20+1000+5+0.1%0Al+368+288+368+160+0+0.001+0%0Aw+304+160+368+160+0%0Aw+304+288+336+288+0%0Aw+368+288+336+288+0%0A|{{electrical_engineering_and_electronics_2:imageno55.jpg|click to start simulation}}]] |
| | </imgcaption> |
| | </panel> |
| | </accordion> |
| |
| ~~PAGEBREAK~~ ~~CLEARFIX~~ | ~~PAGEBREAK~~ ~~CLEARFIX~~ |
| [[https://www.electronics-tutorials.ws/oscillator/crystal.html|more background]] | [[https://www.electronics-tutorials.ws/oscillator/crystal.html|more background]] |
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| 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> | [[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|Simulation in Time Domain]] |
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| Simulation in Frequency Domain <WRAP>{{url>https://www.falstad.com/afilter/circuitjs.html?cct=$+1+0.000005+0.75+50+5+50%0A%25+4+252791342.77679944%0A170+448+48+416+48+3+20+1000+5+0.1%0Ax+695+186+703+189+4+12+S%0Ax+675+178+692+181+4+24+R%0Ax+820+37+924+40+4+18+8MHz+crystal%0Ax+378+102+544+105+4+18+linear+voltage+source%0Aw+512+48+576+48+0%0Ax+803+130+809+133+4+12+0%0Ax+695+131+703+134+4+12+S%0Ax+678+123+695+126+4+24+C%0Ax+786+122+803+125+4+24+C%0AO+848+144+912+144+0%0Ar+448+48+512+48+0+1%0Ar+656+208+656+160+0+0.1%0Ac+656+160+656+112+0+4.400000000000001e-12+-5.033145800262313%0Al+656+112+656+48+0+0.00009499999999999999+0%0Ac+752+48+752+208+0+5e-11+-0.6291750159603016%0Aw+656+208+752+208+0%0Aw+656+48+752+48+0%0Aw+576+48+656+48+0%0Ac+576+112+576+48+0+3e-11+0.0012090544090004919%0Ag+576+112+576+144+0%0Aw+752+208+800+208+2%0AB+384+16+528+80+2+Box%0Ag+848+208+848+224+0%0Ac+848+208+848+144+0+3e-11+0.0012090544090004919%0AB+624+16+816+240+2+Box%0Aw+800+208+800+144+0%0Aw+800+144+848+144+0%0A noborder}} </WRAP> | [[https://www.falstad.com/afilter/circuitjs.html?cct=$+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|Simulation in Frequency Domain]] |
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| [[https://www.falstad.com/circuit/crystal.html|setup for the design]] | [[https://www.falstad.com/circuit/crystal.html|setup for the design]] |