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VALUES FOR DFFERENT QS AND DFFERENT FLTER TYPES Bessel QUESTION Design a 5th degree inverting Butterworth high pass filter with cutoff frequency fc = 24
VALUES FOR DFFERENT QS AND DFFERENT FLTER TYPES Bessel QUESTION Design a 5th degree inverting Butterworth high pass filter with cutoff frequency fc = 24 kHz, DC gain 1. Draw the circuit and specify the element values on it. Butterworth 1.4142 Tschebyscheff 1.0650 a1 a1 a1 b1 b1 1.0000 b1 1.9305 1.3617 0.6180 100 10 0.01 0.1 1.0032 1.0324 1 Q Q 100 10 1 1 1 1 100 10 0.01 0.1 1.0035 1.036 0.1 Butterworth Coefficients 1 0.01 1.0033 c 1.438 CE 1.4426 CE 1.0338 1.39 1 n bi ki fci/fc Qi 1 1 1.0000 0.0000 1.000 2 1 1.4142 1.0000 1.000 0.71 1.0M 1.1M 1.2M 1.3M 1.5M 3 1 2 1.0000 1.0000 0.0000 1.0000 1.000 1.272 1.00 1.6M 4 1 2 2 1.8478 0.7654 1.0000 1.0000 0.719 1.390 0.54 1.31 200 5 1 2 3 1.0000 1.6180 0.6180 0.0000 1.0000 1.0000 1.000 0.859 1.448 0.62 1.62 1 2 3 1.9319 1.4142 0.5176 1.0000 1.0000 1.0000 0.676 1.000 1.479 0.52 0.71 1.93 Standard Resistor Values (+5%) 1.0 10 100 1.OK 1.1 11 110 1.1K 1.2 12 120 1.2K 1.3 13 130 1.3K 1.5 15 150 1.5K 1.6 16 160 1.6K 1.8 18 180 1.8K 2.0 20 2.OK 2.2 22 220 2.2K 2.4 24 240 2.4K 2.7 27 270 2.7K 3.0 30 300 3.OK 3.3 33 330 3.3K 3.6 36 360 3.6K 3.9 39 390 3.9K 4.3 43 430 4.3K 4.7 47 470 4.7K 5.1 51 510 5.1K 5.6 56 560 5.6K 6.2 62 620 6.2K 6.8 68 680 6.8K 7.5 75 750 7.5K 8.2 82 820 8.2K 9.1 91 910 9.1K 10K 11K 12K 13K 15K 16K 18K 20K 22K BAY 24K 12 27K 30K 33K 36K 39K 43K 47K 51K 56K 62K 68K 75K 82K 91K 100K 110K 120K 130K 150K 160K 180K 200K 220K AY 240K 200 270K 300K 330K 360K 390K 430K 470K 510K 560K 620K 680K 750K 820K 910K 1.8M 2.OM 2.2M 2.4M 2.7M 3.0M 3.3M 3.6M 3.9M 4.3M 4.7M 5.IM 5.6M 6.2M All-Pass Filter Coefficients n i ai bi fi/fc Taro 1 1 0.6436 0.0000 1.554 0.204 2. 1 1.6278 0.8832 1.084 0.58 0.518 1 6.8M 3 1 1.14 15 0.0000 0.876 0.843 7 7.5M 8.2M 9.1M 2 1.5092 1.0877 0.959 0.69 4 1 2.3370 1.4878 0.820 0.52 1.173 8 2 1.3506 1.1837 0.919 0.81 104F 5 1 1.2974 0.0000 0.771 1.506 0 2 3 2.2224 1.2116 1.5685 1.2330 0.798 0.901 0.56 0.92 22uF 6 1 2.6117 1.7783 0.750 0.51 1.839 5 Standard Capacitor Values (+10%) 10pF 100pF 1000pF 12pF 120pF 1200pF 15pF 150pF 1500pF 18pF 180pF 1800pF 22pF 220pF 2200pF 27pF 270pF 2700pF 33pF 330pF 3300pF 39pF 390pF 3900pF 47pF 470pF 4700pF 56pF 560pF 5600pF 68pF 680pF 6800pF 82pF 820pF 8200pF .0104F .0124F .015F .018LF .022LF .0274F .033F .039LF .047uF .056UF .0684F .082LF .104F .12F .15-F .184F .22uF .27F .33F .39LF .47uF .56LF .684F .82LF 1.04F 1.2uF 1 Sur 1.8uF 22uF 2.74F 33F 3.94F 4.7F 5.6uF 6.84F 82LF 334F 2 2 3 2.0706 1.0967 1.6015 1.2596 0.790 0.891 0.61 1.02 47F VALUES FOR DFFERENT QS AND DFFERENT FLTER TYPES Bessel QUESTION Design a 5th degree inverting Butterworth high pass filter with cutoff frequency fc = 24 kHz, DC gain 1. Draw the circuit and specify the element values on it. Butterworth 1.4142 Tschebyscheff 1.0650 a1 a1 a1 b1 b1 1.0000 b1 1.9305 1.3617 0.6180 100 10 0.01 0.1 1.0032 1.0324 1 Q Q 100 10 1 1 1 1 100 10 0.01 0.1 1.0035 1.036 0.1 Butterworth Coefficients 1 0.01 1.0033 c 1.438 CE 1.4426 CE 1.0338 1.39 1 n bi ki fci/fc Qi 1 1 1.0000 0.0000 1.000 2 1 1.4142 1.0000 1.000 0.71 1.0M 1.1M 1.2M 1.3M 1.5M 3 1 2 1.0000 1.0000 0.0000 1.0000 1.000 1.272 1.00 1.6M 4 1 2 2 1.8478 0.7654 1.0000 1.0000 0.719 1.390 0.54 1.31 200 5 1 2 3 1.0000 1.6180 0.6180 0.0000 1.0000 1.0000 1.000 0.859 1.448 0.62 1.62 1 2 3 1.9319 1.4142 0.5176 1.0000 1.0000 1.0000 0.676 1.000 1.479 0.52 0.71 1.93 Standard Resistor Values (+5%) 1.0 10 100 1.OK 1.1 11 110 1.1K 1.2 12 120 1.2K 1.3 13 130 1.3K 1.5 15 150 1.5K 1.6 16 160 1.6K 1.8 18 180 1.8K 2.0 20 2.OK 2.2 22 220 2.2K 2.4 24 240 2.4K 2.7 27 270 2.7K 3.0 30 300 3.OK 3.3 33 330 3.3K 3.6 36 360 3.6K 3.9 39 390 3.9K 4.3 43 430 4.3K 4.7 47 470 4.7K 5.1 51 510 5.1K 5.6 56 560 5.6K 6.2 62 620 6.2K 6.8 68 680 6.8K 7.5 75 750 7.5K 8.2 82 820 8.2K 9.1 91 910 9.1K 10K 11K 12K 13K 15K 16K 18K 20K 22K BAY 24K 12 27K 30K 33K 36K 39K 43K 47K 51K 56K 62K 68K 75K 82K 91K 100K 110K 120K 130K 150K 160K 180K 200K 220K AY 240K 200 270K 300K 330K 360K 390K 430K 470K 510K 560K 620K 680K 750K 820K 910K 1.8M 2.OM 2.2M 2.4M 2.7M 3.0M 3.3M 3.6M 3.9M 4.3M 4.7M 5.IM 5.6M 6.2M All-Pass Filter Coefficients n i ai bi fi/fc Taro 1 1 0.6436 0.0000 1.554 0.204 2. 1 1.6278 0.8832 1.084 0.58 0.518 1 6.8M 3 1 1.14 15 0.0000 0.876 0.843 7 7.5M 8.2M 9.1M 2 1.5092 1.0877 0.959 0.69 4 1 2.3370 1.4878 0.820 0.52 1.173 8 2 1.3506 1.1837 0.919 0.81 104F 5 1 1.2974 0.0000 0.771 1.506 0 2 3 2.2224 1.2116 1.5685 1.2330 0.798 0.901 0.56 0.92 22uF 6 1 2.6117 1.7783 0.750 0.51 1.839 5 Standard Capacitor Values (+10%) 10pF 100pF 1000pF 12pF 120pF 1200pF 15pF 150pF 1500pF 18pF 180pF 1800pF 22pF 220pF 2200pF 27pF 270pF 2700pF 33pF 330pF 3300pF 39pF 390pF 3900pF 47pF 470pF 4700pF 56pF 560pF 5600pF 68pF 680pF 6800pF 82pF 820pF 8200pF .0104F .0124F .015F .018LF .022LF .0274F .033F .039LF .047uF .056UF .0684F .082LF .104F .12F .15-F .184F .22uF .27F .33F .39LF .47uF .56LF .684F .82LF 1.04F 1.2uF 1 Sur 1.8uF 22uF 2.74F 33F 3.94F 4.7F 5.6uF 6.84F 82LF 334F 2 2 3 2.0706 1.0967 1.6015 1.2596 0.790 0.891 0.61 1.02 47F
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