Reattanza Condensatore Reale
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Termini noti Rs Ls Rp C
0.5 ohm 1 uH 100 Mohm 0.1 uF
Comportamento in frequenza di un condens Modulo dell'impedenza Zc 100000000000000 1000000000000 10000000000
Modulo |Zc|
100000000 1000000 10000 100 1 0.01 0
0
1
100000 frequenza f
Calcolo modulo dell'impedenza Zc alle varie frequenze frequenza f pulsazione ω Denom.Zc Parte reale Zc
f
2πf
1+ω2 Rp2 C2
0 0 1.00 0 0 1.00 0 0 1.00 0 0.01 1.00 0.1 0.63 40.48 1 6.28 3948.84 10 62.83 394785.18 100 628.32 39478418.60 200 1256.64 157913671.42 300 1884.96 355305759.44 500 3141.59 986960441.11 1000 6283.19 3947841761.44 3000 18849.56 35530575844.92 5000 31415.93 98696044011.89 7000 43982.3 193444246262.35 10000 62831.85 394784176044.58 12000 75398.22 568489213503.75 15000 94247.78 888264396099.04 18000 113097.34 ### 20000 125663.71 ### 30000 188495.56 ### 50000 314159.27 ### 100000 628318.53 ### 200000 1256637.06 157913670417431 300000 1884955.59 355305758439218 500000 3141592.65 986960440108937 1000000 6283185.31 3.95E+015 10000000 62831853.07 3.95E+017 100000000 ### 3.95E+019 1000000000 ### 3.95E+021 10000000000 ### 3.95E+023 ### ### 3.95E+025 ### ### 3.95E+027 ### ### 3.95E+029 ### ### 3.95E+031 ### 6.28E+015 3.95E+033 1.00E+016 6.28E+016 3.95E+035 1.00E+017 6.28E+017 3.95E+037 1.00E+018 6.28E+018 3.95E+039
[Rs (1+ω2 Rp2 C2) + Rp ]/[1+ω2 Rp2 C2] 100000000.50 99999961.02 99996052.81 99606768.74 2470452.80 25324.38 253.80 3.03 1.13 0.78 0.60 0.53 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5
o in frequenza di un condensatore reale odulo dell'impedenza Zc
1
100000
10000000000
frequenza f
Parte immaginaria Zc
modulo Zc
1000000000000000
1.00E+020
ω [Ls (1+ω2 Rp2 C2) - Rp2 C ]/[1+ω2 Rp2 C2] -628.32 -62831.83 -628293.73 -6258477.83 -15522309.61 -1591146.39 -159154.54 -15915.49 -7957.75 -5305.16 -3183.1 -1591.54 -530.5 -318.28 -227.32 -159.09 -132.55 -106.01 -88.31 -79.45 -52.86 -31.52 -15.29 -6.7 -3.42 -0.04 4.69 62.67 628.3 6283.18 62831.85 628318.53 6283185.31 62831853.07 628318530.72 6283185307.18 62831853071.8 628318530717.96 6283185307179.59
100000000.5 99999980.76 99998026.64 99803190.95 15717672.63 1591347.91 159154.74 15915.49 7957.75 5305.16 3183.1 1591.54 530.5 318.28 227.32 159.09 132.55 106.01 88.31 79.45 52.87 31.52 15.3 6.72 3.46 0.5 4.72 62.67 628.3 6283.18 62831.85 628318.53 6283185.31 62831853.07 ### ### ### ### ###
Termini noti Rs Ls Rp C
0.5 ohm 100 uH 100 Mohm 10 uF
Comportamento in frequenza di un conden Modulo dell'impedenza Zc 10,000,000,000,000,000 100,000,000,000,000 1,000,000,000,000 10,000,000,000
Modulo |Zc|
100,000,000 1,000,000 10,000 100 1 0 1.00E-09
1.00E-06
1.00E-03
1.00E+00
1.00E+03
frequenza f
Calcolo modulo dell'impedenza Zc alle varie frequenze frequenza f pulsazione ω Denom.Zc Parte reale Zc 2 2 2 1+ω R C [Rs (1+ω2 Rp2 C2) + Rp ]/[1+ω2 Rp2 C2] f 2πf p 1.00E-07 1.00E-05 1.00E-04 1.00E-03
0 0 0 0.01
1.00 1.00 1.39 40.48
99999961.02 99606768.74 71695680.53 2470452.80
1.00E+
1.00E-01 0.63 394785.18 1.00E+00 6.28 39478418.60 1.00E+01 62.83 3947841761.44 1.00E+02 628.32 394784176044.58 2.00E+02 1256.64 ### 3.00E+02 1884.96 ### 5.00E+02 3141.59 ### 1.00E+03 6283.19 ### 3.00E+03 18849.56 ### 5.00E+03 31415.93 ### 7.00E+03 43982.3 ### 1.00E+04 62831.85 ### 1.20E+04 75398.22 ### 1.50E+04 94247.78 ### 1.80E+04 113097.34 ### 2.00E+04 125663.71 ### 3.00E+04 188495.56 ### 5.00E+04 314159.27 ### 1.00E+05 628318.53 3.95E+017 2.00E+05 1256637.06 1.58E+018 3.00E+05 1884955.59 3.55E+018 5.00E+05 3141592.65 9.87E+018 1.00E+06 6283185.31 3.95E+019 1.00E+07 62831853.07 3.95E+021 1.00E+08 ### 3.95E+023 1.00E+09 ### 3.95E+025 1.00E+10 ### 3.95E+027 1.00E+11 ### 3.95E+029 1.00E+12 ### 3.95E+031 1.00E+13 ### 3.95E+033 1.00E+14 ### 3.95E+035 1.00E+15 6.28E+015 3.95E+037 1.00E+16 6.28E+016 3.95E+039 1.00E+17 6.28E+017 3.95E+041 1.00E+18 6.28E+018 3.95E+043
253.80 3.03 0.53 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5
n frequenza di un condensatore reale ulo dell'impedenza Zc
03
1.00E+00
1.00E+03
1.00E+06
1.00E+09
1.00E+12
1.00E+15
frequenza f
Parte immaginaria Zc ω [Ls (1+ω2 Rp2 C2) - Rp2 C ]/[1+ω2 Rp2 C2] -62831.83 -6258477.83 -45047724.34 -15522309.61
modulo Zc
99,999,981 99,803,191 84,673,302 15,717,673
1.00E+18
-159154.54 159,155 -15915.49 15,915 -1591.54 1,592 -159.09 159 -79.45 79 -52.86 53 -31.52 32 -15.29 15 -3.42 3 -0.04 1 2.12 2 4.69 5 6.21 6 8.36 8 10.43 10 11.77 12 18.32 18 31.1 31 62.67 63 125.58 126 188.44 188 314.13 314 628.3 628 6283.18 6,283 62831.85 62,832 628318.53 628,319 6283185.31 6,283,185 62831853.07 62,831,853 628318530.72 628,318,531 6283185307.18 6,283,185,307 62831853071.8 62,831,853,072 628318530717.96 628,318,530,718 6283185307179.59 6,283,185,307,180 62831853071795.9 62,831,853,071,796 628318530717959 628,318,530,717,959
0.5 ohm 1 uH 100 Mohm 0.1 uF
Comportamento in frequenza di un condens Modulo dell'impedenza Zc 100000000000000 1000000000000 10000000000
Modulo |Zc|
100000000 1000000 10000 100 1 0.01 0
0
1
100000 frequenza f
Calcolo modulo dell'impedenza Zc alle varie frequenze frequenza f pulsazione ω Denom.Zc Parte reale Zc
f
2πf
1+ω2 Rp2 C2
0 0 1.00 0 0 1.00 0 0 1.00 0 0.01 1.00 0.1 0.63 40.48 1 6.28 3948.84 10 62.83 394785.18 100 628.32 39478418.60 200 1256.64 157913671.42 300 1884.96 355305759.44 500 3141.59 986960441.11 1000 6283.19 3947841761.44 3000 18849.56 35530575844.92 5000 31415.93 98696044011.89 7000 43982.3 193444246262.35 10000 62831.85 394784176044.58 12000 75398.22 568489213503.75 15000 94247.78 888264396099.04 18000 113097.34 ### 20000 125663.71 ### 30000 188495.56 ### 50000 314159.27 ### 100000 628318.53 ### 200000 1256637.06 157913670417431 300000 1884955.59 355305758439218 500000 3141592.65 986960440108937 1000000 6283185.31 3.95E+015 10000000 62831853.07 3.95E+017 100000000 ### 3.95E+019 1000000000 ### 3.95E+021 10000000000 ### 3.95E+023 ### ### 3.95E+025 ### ### 3.95E+027 ### ### 3.95E+029 ### ### 3.95E+031 ### 6.28E+015 3.95E+033 1.00E+016 6.28E+016 3.95E+035 1.00E+017 6.28E+017 3.95E+037 1.00E+018 6.28E+018 3.95E+039
[Rs (1+ω2 Rp2 C2) + Rp ]/[1+ω2 Rp2 C2] 100000000.50 99999961.02 99996052.81 99606768.74 2470452.80 25324.38 253.80 3.03 1.13 0.78 0.60 0.53 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5
o in frequenza di un condensatore reale odulo dell'impedenza Zc
1
100000
10000000000
frequenza f
Parte immaginaria Zc
modulo Zc
1000000000000000
1.00E+020
ω [Ls (1+ω2 Rp2 C2) - Rp2 C ]/[1+ω2 Rp2 C2] -628.32 -62831.83 -628293.73 -6258477.83 -15522309.61 -1591146.39 -159154.54 -15915.49 -7957.75 -5305.16 -3183.1 -1591.54 -530.5 -318.28 -227.32 -159.09 -132.55 -106.01 -88.31 -79.45 -52.86 -31.52 -15.29 -6.7 -3.42 -0.04 4.69 62.67 628.3 6283.18 62831.85 628318.53 6283185.31 62831853.07 628318530.72 6283185307.18 62831853071.8 628318530717.96 6283185307179.59
100000000.5 99999980.76 99998026.64 99803190.95 15717672.63 1591347.91 159154.74 15915.49 7957.75 5305.16 3183.1 1591.54 530.5 318.28 227.32 159.09 132.55 106.01 88.31 79.45 52.87 31.52 15.3 6.72 3.46 0.5 4.72 62.67 628.3 6283.18 62831.85 628318.53 6283185.31 62831853.07 ### ### ### ### ###
Termini noti Rs Ls Rp C
0.5 ohm 100 uH 100 Mohm 10 uF
Comportamento in frequenza di un conden Modulo dell'impedenza Zc 10,000,000,000,000,000 100,000,000,000,000 1,000,000,000,000 10,000,000,000
Modulo |Zc|
100,000,000 1,000,000 10,000 100 1 0 1.00E-09
1.00E-06
1.00E-03
1.00E+00
1.00E+03
frequenza f
Calcolo modulo dell'impedenza Zc alle varie frequenze frequenza f pulsazione ω Denom.Zc Parte reale Zc 2 2 2 1+ω R C [Rs (1+ω2 Rp2 C2) + Rp ]/[1+ω2 Rp2 C2] f 2πf p 1.00E-07 1.00E-05 1.00E-04 1.00E-03
0 0 0 0.01
1.00 1.00 1.39 40.48
99999961.02 99606768.74 71695680.53 2470452.80
1.00E+
1.00E-01 0.63 394785.18 1.00E+00 6.28 39478418.60 1.00E+01 62.83 3947841761.44 1.00E+02 628.32 394784176044.58 2.00E+02 1256.64 ### 3.00E+02 1884.96 ### 5.00E+02 3141.59 ### 1.00E+03 6283.19 ### 3.00E+03 18849.56 ### 5.00E+03 31415.93 ### 7.00E+03 43982.3 ### 1.00E+04 62831.85 ### 1.20E+04 75398.22 ### 1.50E+04 94247.78 ### 1.80E+04 113097.34 ### 2.00E+04 125663.71 ### 3.00E+04 188495.56 ### 5.00E+04 314159.27 ### 1.00E+05 628318.53 3.95E+017 2.00E+05 1256637.06 1.58E+018 3.00E+05 1884955.59 3.55E+018 5.00E+05 3141592.65 9.87E+018 1.00E+06 6283185.31 3.95E+019 1.00E+07 62831853.07 3.95E+021 1.00E+08 ### 3.95E+023 1.00E+09 ### 3.95E+025 1.00E+10 ### 3.95E+027 1.00E+11 ### 3.95E+029 1.00E+12 ### 3.95E+031 1.00E+13 ### 3.95E+033 1.00E+14 ### 3.95E+035 1.00E+15 6.28E+015 3.95E+037 1.00E+16 6.28E+016 3.95E+039 1.00E+17 6.28E+017 3.95E+041 1.00E+18 6.28E+018 3.95E+043
253.80 3.03 0.53 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.50 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5
n frequenza di un condensatore reale ulo dell'impedenza Zc
03
1.00E+00
1.00E+03
1.00E+06
1.00E+09
1.00E+12
1.00E+15
frequenza f
Parte immaginaria Zc ω [Ls (1+ω2 Rp2 C2) - Rp2 C ]/[1+ω2 Rp2 C2] -62831.83 -6258477.83 -45047724.34 -15522309.61
modulo Zc
99,999,981 99,803,191 84,673,302 15,717,673
1.00E+18
-159154.54 159,155 -15915.49 15,915 -1591.54 1,592 -159.09 159 -79.45 79 -52.86 53 -31.52 32 -15.29 15 -3.42 3 -0.04 1 2.12 2 4.69 5 6.21 6 8.36 8 10.43 10 11.77 12 18.32 18 31.1 31 62.67 63 125.58 126 188.44 188 314.13 314 628.3 628 6283.18 6,283 62831.85 62,832 628318.53 628,319 6283185.31 6,283,185 62831853.07 62,831,853 628318530.72 628,318,531 6283185307.18 6,283,185,307 62831853071.8 62,831,853,072 628318530717.96 628,318,530,718 6283185307179.59 6,283,185,307,180 62831853071795.9 62,831,853,071,796 628318530717959 628,318,530,717,959
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