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[http://www.falstad.com/circuit/circuitjs.html?cct=$+1+0.000005+12.050203812241895+54+5+43%0Ag+-256+32+-256+48+0%0Ax+-164+-202+66+-199+4+18+Simple%5CsActive%5CsLowpass%5CsFilter%0Aw+-256+-32+-224+-32+0%0A207+-112+-48+-64+-48+4+output%0Ac+-256+-32+-256+32+0+1.0000000000000001e-7+0.41109475569201465%0Ar+-256+-32+-352+-32+0+1000%0AR+-352+-32+-400+-32+0+1+1591.5+1+0+0+0.5%0Ax+-13+-92+91+-89+4+14+f%5Cs%5Cq%5Cs1%5Cs/%5Cs(2*pi*R*C)%0Ax+-14+-67+180+-64+4+14+f%5Cs%5Cq%5Cs1%5Cs/%5Cs(2*pi*10%5E3%5CsOhm*10%5E-7%5CsF)%0Ax+-14+-40+156+-37+4+14+f%5Cs%5Cq%5Cs10%5E4%5Cs/%5Cs(2*pi)%5Cq10000/%5Cs2pi%0Ax+-14+-12+69+-9+4+14+f%5Cs%5Cq%5Cs1591,5%5CsHz%0Ax+-13+-130+293+-127+4+14+Calculation%5Csof%5Csfilter%5Cscutoff%5Cspoint%5Cs(-3dB%5CsFrequency)%0Aw+-224+-112+-224+-64+0%0Aw+-112+-112+-224+-112+0%0Aw+-112+-48+-112+-112+0%0Aa+-224+-48+-112+-48+8+15+-15+1000000+0.4110906447855668+0.41109475569201465+100000%0Ao+3+4+0+4106+1.25+0.00009765625+0+2+3+3%0A Simple Active Lowpass Filter] | [http://www.falstad.com/circuit/circuitjs.html?cct=$+1+0.000005+12.050203812241895+54+5+43%0Ag+-256+32+-256+48+0%0Ax+-164+-202+66+-199+4+18+Simple%5CsActive%5CsLowpass%5CsFilter%0Aw+-256+-32+-224+-32+0%0A207+-112+-48+-64+-48+4+output%0Ac+-256+-32+-256+32+0+1.0000000000000001e-7+0.41109475569201465%0Ar+-256+-32+-352+-32+0+1000%0AR+-352+-32+-400+-32+0+1+1591.5+1+0+0+0.5%0Ax+-13+-92+91+-89+4+14+f%5Cs%5Cq%5Cs1%5Cs/%5Cs(2*pi*R*C)%0Ax+-14+-67+180+-64+4+14+f%5Cs%5Cq%5Cs1%5Cs/%5Cs(2*pi*10%5E3%5CsOhm*10%5E-7%5CsF)%0Ax+-14+-40+156+-37+4+14+f%5Cs%5Cq%5Cs10%5E4%5Cs/%5Cs(2*pi)%5Cq10000/%5Cs2pi%0Ax+-14+-12+69+-9+4+14+f%5Cs%5Cq%5Cs1591,5%5CsHz%0Ax+-13+-130+293+-127+4+14+Calculation%5Csof%5Csfilter%5Cscutoff%5Cspoint%5Cs(-3dB%5CsFrequency)%0Aw+-224+-112+-224+-64+0%0Aw+-112+-112+-224+-112+0%0Aw+-112+-48+-112+-112+0%0Aa+-224+-48+-112+-48+8+15+-15+1000000+0.4110906447855668+0.41109475569201465+100000%0Ao+3+4+0+4106+1.25+0.00009765625+0+2+3+3%0A Simple Active Lowpass Filter] | ||
* Still, since the resistance of our source adds to our first resistor, the cutoff point will change, when the resistance of the source changes. | * Still, since the resistance of our source adds to our first resistor, the cutoff point will change, when the resistance of the source changes. To mitigate this we can change the topologie of our filter like so: | ||
[http://www.falstad.com/circuit/circuitjs.html?cct=$+1+0.000005+12.050203812241895+54+5+43%0Ax+-164+-202+6+-199+4+18+Active%5CsLowpass%5CsFilter%0A207+-128+0+-80+0+4+output%0Ac+-128+-112+-240+-112+0+1.0000000000000001e-7+-0.06865131933234453%0Ar+-128+-64+-240+-64+0+1000%0AR+-336+-64+-384+-64+0+1+1591.5+1+0+0+0.5%0Ax+-13+-92+99+-89+4+14+f%5Cs%5Cq%5Cs1%5Cs/%5Cs(2*pi*R2*C)%0Ax+-14+-67+180+-64+4+14+f%5Cs%5Cq%5Cs1%5Cs/%5Cs(2*pi*10%5E3%5CsOhm*10%5E-7%5CsF)%0Ax+-14+-40+156+-37+4+14+f%5Cs%5Cq%5Cs10%5E4%5Cs/%5Cs(2*pi)%5Cq10000/%5Cs2pi%0Ax+-14+-12+69+-9+4+14+f%5Cs%5Cq%5Cs1591,5%5CsHz%0Ax+-13+-130+293+-127+4+14+Calculation%5Csof%5Csfilter%5Cscutoff%5Cspoint%5Cs(-3dB%5CsFrequency)%0Aw+-240+-64+-240+-16+0%0Aw+-128+0+-128+-64+0%0Aa+-240+0+-128+0+8+15+-15+1000000+6.865063282601628e-7+0+100000%0Aw+-240+-112+-240+-64+0%0Ar+-240+-64+-336+-64+0+1000%0Ag+-240+16+-240+32+0%0Aw+-128+-112+-128+-64+0%0Ax+-298+-40+-280+-37+4+14+R1%0Ax+-194+-40+-176+-37+4+14+R2%0Ax+-14+42+81+45+4+14+-R2/R1%5Cs...%5CsGain%0Ax+-14+95+226+98+4+14+R2%5Cs...%5CsSets%5Cscutoff%5Csfrequency%5Cs(and%5Csgain)%0Ax+-14+69+83+72+4+14+R1%5Cs...%5CsSets%5Csgain%0Ao+1+4+0+4106+1.25+0.00009765625+0+2+1+3%0A Active Low Pass Filter] | [http://www.falstad.com/circuit/circuitjs.html?cct=$+1+0.000005+12.050203812241895+54+5+43%0Ax+-164+-202+6+-199+4+18+Active%5CsLowpass%5CsFilter%0A207+-128+0+-80+0+4+output%0Ac+-128+-112+-240+-112+0+1.0000000000000001e-7+-0.06865131933234453%0Ar+-128+-64+-240+-64+0+1000%0AR+-336+-64+-384+-64+0+1+1591.5+1+0+0+0.5%0Ax+-13+-92+99+-89+4+14+f%5Cs%5Cq%5Cs1%5Cs/%5Cs(2*pi*R2*C)%0Ax+-14+-67+180+-64+4+14+f%5Cs%5Cq%5Cs1%5Cs/%5Cs(2*pi*10%5E3%5CsOhm*10%5E-7%5CsF)%0Ax+-14+-40+156+-37+4+14+f%5Cs%5Cq%5Cs10%5E4%5Cs/%5Cs(2*pi)%5Cq10000/%5Cs2pi%0Ax+-14+-12+69+-9+4+14+f%5Cs%5Cq%5Cs1591,5%5CsHz%0Ax+-13+-130+293+-127+4+14+Calculation%5Csof%5Csfilter%5Cscutoff%5Cspoint%5Cs(-3dB%5CsFrequency)%0Aw+-240+-64+-240+-16+0%0Aw+-128+0+-128+-64+0%0Aa+-240+0+-128+0+8+15+-15+1000000+6.865063282601628e-7+0+100000%0Aw+-240+-112+-240+-64+0%0Ar+-240+-64+-336+-64+0+1000%0Ag+-240+16+-240+32+0%0Aw+-128+-112+-128+-64+0%0Ax+-298+-40+-280+-37+4+14+R1%0Ax+-194+-40+-176+-37+4+14+R2%0Ax+-14+42+81+45+4+14+-R2/R1%5Cs...%5CsGain%0Ax+-14+95+226+98+4+14+R2%5Cs...%5CsSets%5Cscutoff%5Csfrequency%5Cs(and%5Csgain)%0Ax+-14+69+83+72+4+14+R1%5Cs...%5CsSets%5Csgain%0Ao+1+4+0+4106+1.25+0.00009765625+0+2+1+3%0A Active Low Pass Filter] | ||
* Unfortunately we can't set the cutoff frequency independently of the gain of our filter with just one resistor (e.g. a potentiometer). With another filter topology, the "bridged T low pass filter". Here we exchange the capacitor in the feedback loop with two capacitors in series and add a resistor. | |||
[http://www.falstad.com/circuit/circuitjs.html?cct=$+1+0.000005+12.050203812241895+54+5+43%0Ax+-164+-202+6+-199+4+18+Active%5CsLowpass%5CsFilter%0A207+-128+0+-80+0+4+output%0Ac+-128+-112+-240+-112+0+1.0000000000000001e-7+-0.06865131933234453%0Ar+-128+-64+-240+-64+0+1000%0AR+-336+-64+-384+-64+0+1+1591.5+1+0+0+0.5%0Ax+-13+-92+99+-89+4+14+f%5Cs%5Cq%5Cs1%5Cs/%5Cs(2*pi*R2*C)%0Ax+-14+-67+180+-64+4+14+f%5Cs%5Cq%5Cs1%5Cs/%5Cs(2*pi*10%5E3%5CsOhm*10%5E-7%5CsF)%0Ax+-14+-40+156+-37+4+14+f%5Cs%5Cq%5Cs10%5E4%5Cs/%5Cs(2*pi)%5Cq10000/%5Cs2pi%0Ax+-14+-12+69+-9+4+14+f%5Cs%5Cq%5Cs1591,5%5CsHz%0Ax+-13+-130+293+-127+4+14+Calculation%5Csof%5Csfilter%5Cscutoff%5Cspoint%5Cs(-3dB%5CsFrequency)%0Aw+-240+-64+-240+-16+0%0Aw+-128+0+-128+-64+0%0Aa+-240+0+-128+0+8+15+-15+1000000+6.865063282601628e-7+0+100000%0Aw+-240+-112+-240+-64+0%0Ar+-240+-64+-336+-64+0+1000%0Ag+-240+16+-240+32+0%0Aw+-128+-112+-128+-64+0%0Ax+-298+-40+-280+-37+4+14+R1%0Ax+-194+-40+-176+-37+4+14+R2%0Ax+-14+42+81+45+4+14+-R2/R1%5Cs...%5CsGain%0Ax+-14+95+226+98+4+14+R2%5Cs...%5CsSets%5Cscutoff%5Csfrequency%5Cs(and%5Csgain)%0Ax+-14+69+83+72+4+14+R1%5Cs...%5CsSets%5Csgain%0Ao+1+4+0+4106+1.25+0.00009765625+0+2+1+3%0A Bridged T Low Pass Filter] | |||
[http://www.falstad.com/circuit/circuitjs.html?cct=$+1+0.000005+9.001713130052181+54+5+43%0Ax+-132+-156+68+-153+4+18+Triangle%5Cs/%5CsSaw%5CsGenerator%0Aa+-240+0+-128+0+8+15+-15+1000000+0+3.6818713027031436+100000%0Ag+16+32+16+64+0%0A207+128+16+176+16+4+output%0Ac+16+-64+128+-64+0+1e-8+0.5101696765160468%0Ar+-240+48+-240+128+0+100000%0Ar+-240+48+-128+48+0+270000%0Aw+-240+16+-240+48+2%0Aw+-128+0+-128+48+0%0Ar+-64+0+16+0+0+100000%0Ad+-80+-64+-128+-64+2+default%0Aa+16+16+128+16+8+15+-15+1000000+0.000005101645748702981+0+100000%0Aw+16+-64+16+0+0%0Aw+128+-64+128+16+0%0Aw+128+16+128+128+0%0Aw+128+128+-240+128+0%0Ag+-240+-16+-288+-16+0%0Ag+-64+64+-64+80+0%0Ar+-64+0+-64+64+0+50000%0Ar+-128+0+-64+0+0+50000%0Aw+-128+-64+-128+0+0%0Ar+-80+-64+-32+-64+0+1000%0As+-32+-64+16+-64+0+1+false%0Ax+-21+-87+5+-84+4+8+triangle%0Ax+-16+-44+-3+-41+4+8+saw%0Ao+7+8+0+4098+20+0.00009765625+0+2+7+3%0Ao+8+8+0+4106+20+0.1+1+2+8+3%0Ao+3+8+0+4106+20+0.1+2+2+3+3%0A Trianlge / Saw Generator] | [http://www.falstad.com/circuit/circuitjs.html?cct=$+1+0.000005+9.001713130052181+54+5+43%0Ax+-132+-156+68+-153+4+18+Triangle%5Cs/%5CsSaw%5CsGenerator%0Aa+-240+0+-128+0+8+15+-15+1000000+0+3.6818713027031436+100000%0Ag+16+32+16+64+0%0A207+128+16+176+16+4+output%0Ac+16+-64+128+-64+0+1e-8+0.5101696765160468%0Ar+-240+48+-240+128+0+100000%0Ar+-240+48+-128+48+0+270000%0Aw+-240+16+-240+48+2%0Aw+-128+0+-128+48+0%0Ar+-64+0+16+0+0+100000%0Ad+-80+-64+-128+-64+2+default%0Aa+16+16+128+16+8+15+-15+1000000+0.000005101645748702981+0+100000%0Aw+16+-64+16+0+0%0Aw+128+-64+128+16+0%0Aw+128+16+128+128+0%0Aw+128+128+-240+128+0%0Ag+-240+-16+-288+-16+0%0Ag+-64+64+-64+80+0%0Ar+-64+0+-64+64+0+50000%0Ar+-128+0+-64+0+0+50000%0Aw+-128+-64+-128+0+0%0Ar+-80+-64+-32+-64+0+1000%0As+-32+-64+16+-64+0+1+false%0Ax+-21+-87+5+-84+4+8+triangle%0Ax+-16+-44+-3+-41+4+8+saw%0Ao+7+8+0+4098+20+0.00009765625+0+2+7+3%0Ao+8+8+0+4106+20+0.1+1+2+8+3%0Ao+3+8+0+4106+20+0.1+2+2+3+3%0A Trianlge / Saw Generator] |