In[970]:=
Rb = 1 µ 10 ^ 7 ;
In[971]:=
Cd = 20 µ 10 ^ - 12 ;
In[972]:=
Cc = 10 ^ - 10;
In[973]:=
Rin = 50;
In[974]:=
R1 = 10;
In[975]:=
R2 = 990;
In[976]:=
Dynamic@N@8Rb, Cd, Cc, Rin, R1, R2<DD
Out[976]=
In[977]:=
Out[977]=
In[978]:=
91. µ 107 , 2. µ 10-11 , 1. µ 10-10 , 50., 10., 990.=
DynamicBNB
1
2 Pi Rb Cc
FF
159.155
DynamicBNB
1
2 Pi Rb HCc + CdL
FF
Out[978]=
132.629
In[979]:=
Zd@f_D :=
In[980]:=
Zg@f_D := Rin +
In[981]:=
Zisig@f_D :=
In[982]:=
ZiRb@f_D := Rb + Zg@fD-1 +
In[983]:=
Zicc@f_D := Zd@fD +
In[984]:=
Zi@f_D :=
In[985]:=
kboltz = 1.38 µ 10-23 H* in VêHK OhmL*L;
In[986]:=
T = 300 H* in K *L;
In[987]:=
9SliderADynamic@eAD, 910-9 , 100 µ 10-9 =E, Dynamic@N@eADD=H* in VêrtHz *L
Out[987]=
:
Rb
1 + Â 2 Pi f Rb Cd
1
 2 Pi f Cc
Zd@fD
Zd@fD + Zg@fD
-1 -1
1
 2 Pi f Cd
1
 2 Pi f Cc
Rin Zicc@fD
Rin + Zicc@fD
, 1. µ 10-9 >
2
volt_amp_100421.nb
In[988]:=
Out[988]=
9SliderADynamic@iAD, 910-14 , 1000 µ 10-14 =E, Dynamic@N@iADD= H* in AêrtHz *L
, 1. µ 10-14 >
:
R1 + R2
2
In[989]:=
w1@f_D := eA2 *
In[990]:=
w2@f_D := iA2 Abs@Zi@fDD2 *
In[991]:=
w3@f_D := 4 kboltz T R2 *
R1
R1 + R2
2
R1
2
R1
*
R1 + R2
2
R2
2
R1
R1 + R2
2
In[992]:=
w4@f_D := 4 kboltz T R1 *
In[993]:=
w5@f_D := 4 kboltz T Rin * AbsB
In[994]:=
w6@f_D :=
In[995]:=
w@f_D := w1@fD + w2@fD + w3@fD + w4@fD + w5@fD + w6@fD
In[996]:=
DynamicALogLogPlotA
8Sqrt@w1@fDD, Sqrt@w2@fDD, Sqrt@w3@fDD, Sqrt@w4@fDD, Sqrt@w5@fDD, Sqrt@w6@fDD, Sqrt@w@fDD<,
9f, 0.1, 109 =, PlotStyle Ø 8Red, Green, Blue, Brown, Magenta, Orange, Black<EE
4 kboltz T Rb
Abs@ZiRb@fDD2
R1 + R2
* AbsB
*
R1 + R2
R1
2
Zicc@fD
Zicc@fD + Rin
F *
2
R1 + R2
R1
2
Cc
Cc + Cd + Â 2 Pi f Rin Cc Cd
F * Rin2 *
R1 + R2
2
R1
10-7
10-8
10-9
-10
Out[996]= 10
10-11
10-12
0.1
In[997]:=
Out[997]=
10
1000
ISIG = FourierTransformBIsig0
105
107
1
1 + t ê t0
109
* UnitStep@tD, t, wF
- 8.46913 µ 10-6
- 1.30327 µ 10-9 CosA1.30327 µ 10-9 Abs@wDE CosIntegralA1.30327 µ 10-9 Abs@wDE +
1
Abs@wD
 w I1.30327 µ 10-9 CosIntegralA1.30327 µ 10-9 Abs@wDE SinA1.30327 µ 10-9 Abs@wDE + CosA1.30327 µ
10-9 Abs@wDE I2.04717 µ 10-9 - 1.30327 µ 10-9 SinIntegralA1.30327 µ 10-9 Abs@wDEMM +
SinA1.30327 µ 10-9 Abs@wDE I2.04717 µ 10-9 - 1.30327 µ 10-9 SinIntegralA1.30327 µ 10-9 Abs@wDEM
volt_amp_100421.nb
In[998]:=
Isig0
- 0.000021229
Out[998]=
In[999]:=
LogLogPlotAAbs@ISIGD, 9w, 2 Pi 0.1, 2 Pi 109 =, PlotRange Ø FullE
2 µ 10-13
1 µ 10-13
5 µ 10-14
2 µ 10-14
Out[999]=
1 µ 10-14
5 µ 10-15
2 µ 10-15
1
104
100
106
108
1010
In[1000]:=
In[1001]:=
Out[1001]=
G = InverseLaplaceTransformB
1 000 000 000 57 600 400 001 ‰
s Rb Cc
s Rb Cc + H1 + s Rin CcL H1 + s Rb CdL
J-600 002 500-2500
57 600 320 001 N t
, s, tF
+
400 000 000 t
240 001
57 600 320 001 ‰
K57 600 320 001 + 240 001
In[1002]:=
Out[1002]=
Vsig = Rin *
R1 + R2
R1
- 80 000 ‰ -240 001-
9
tt
- 9.53238 µ 10-10 ‰
57 600 320 001 K0. ‰-1.2µ10
Vsig0 = Vsig ê. tt Ø 0
0.101182
57 600 320 001
ì
* Convolve@isig@tD, G, t, ttD
- 0.000921391 K- 80 000 ‰-833.33 tt I- 3.72343 µ 10-9 + 1.71455 µ 10-8 ‰1.19209µ10
240 001
Out[1003]=
57 600 320 001 N t
57 600 320 001 O
57 600 400 001 K0. ‰-1.2µ10
In[1003]:=
J-600 002 500-2500
9
tt
-7
-2500 J240 001+ 57 600 320 001 N tt
- 9.53238 µ 10-10 ‰
tt
M+
O+
-2500 J240 001+ 57 600 320 001 N tt
OO
3
4
volt_amp_100421.nb
In[1004]:=
LogLogPlotAAbs@Zisig@fDD, 9f, 0.1, 109 =E
1.000
0.500
0.100
0.050
Out[1004]=
0.010
0.005
0.001
0.1
In[1005]:=
Out[1005]=
10
105
1000
109
N@Abs@Zisig@100 000DDD
0.83333
KRin * I
In[1006]:=
107
R1+R2
R1
M * AbsB
ExpRes = NIntegrateB
 w Rb Cc
 w Rb Cc+I1+ w Rin CcM H1+ w Rb CdL
wA
Out[1006]=
In[1007]:=
w
2 Pi
0.0482473
DynamicAPlotA9Vsig, Vsig0 * ‰-ttëIRin CdM =, 8tt, 0, 10 Rin Cd<, PlotRange Ø FullEE
0.08
0.06
Out[1007]=
0.04
0.02
2. µ 10-9
Out[1008]=
, 8w, - ¶, ¶<F
E
0.10
In[1008]:=
-.5
2
ISIG FO
4. µ 10-9
6. µ 10-9
HVsig ê. tt Ø 0L ê HVsig ê. tt Ø 10 tpL
102 288.
8. µ 10-9
1. µ 10-8