Tabela danych: |
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UH |
dla UŻ=6V |
dla UŻ=9V |
dla UŻ=12V |
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I |
ln(Io/I) |
I |
ln(Io/I) |
I |
ln(Io/I) |
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e= |
1,60E-19 |
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[V] |
[uA] |
[uA] |
[uA] |
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k= |
1,38E-23 |
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0 |
0,58 |
0,00 |
32 |
0,00 |
100 |
0,00 |
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m= |
9,11E-31 |
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0,1 |
0,21 |
1,02 |
19 |
0,52 |
65 |
0,43 |
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0 |
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0,2 |
0,05 |
2,45 |
8,8 |
1,29 |
40 |
0,92 |
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-0,1 |
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0,3 |
0,015 |
3,65 |
3,4 |
2,24 |
22 |
1,51 |
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-0,2 |
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0,4 |
0,004 |
4,98 |
1,1 |
3,37 |
10,8 |
2,23 |
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-0,3 |
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0,5 |
0,001 |
6,36 |
0,5 |
4,16 |
4,3 |
3,15 |
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-0,4 |
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0,6 |
0 |
--- |
0,17 |
5,24 |
1,6 |
4,14 |
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-0,5 |
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0,7 |
0 |
--- |
0,065 |
6,20 |
0,56 |
5,18 |
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-0,6 |
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0,8 |
0 |
--- |
0,022 |
7,28 |
0,23 |
6,07 |
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-0,7 |
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0,9 |
0 |
--- |
0,007 |
8,43 |
0,087 |
7,05 |
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-0,8 |
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1 |
0 |
--- |
0,003 |
9,27 |
0,035 |
7,96 |
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-0,9 |
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1,1 |
0 |
--- |
0,001 |
10,37 |
0,011 |
9,12 |
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-1 |
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1,2 |
0 |
--- |
0 |
--- |
0,004 |
10,13 |
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-1,1 |
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1,3 |
0 |
--- |
0 |
--- |
0,001 |
11,51 |
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-1,2 |
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1,4 |
0 |
--- |
0 |
--- |
0 |
--- |
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-1,3 |
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-1,4 |
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Obliczenia: |
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maksymalne predkosci elektronów obliczam ze wzoru: |
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tg= |
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12,83 |
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9,707 |
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8,992 |
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T= |
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gdzie: |
e - |
ładunek elementarny |
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v= |
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me - |
masa elektronu |
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>dla Uż= 6 [V] |
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Uc - |
napięcie hamowania |
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v= |
459395,28 |
[m/s] |
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>dla Uż= 9 [V] |
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v= |
649683,034094986 |
[m/s] |
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>dla Uż= 12 [V] |
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v= |
701737,880020746 |
[m/s] |
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temperaturę żarzenia obliczam ze wzoru : |
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gdzie: |
e - |
ładunek elementarny |
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k - |
stała Boltzmana |
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>dla Uż= 6 [V] |
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a - |
wsp. kierunkowy prostej |
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T= |
904,81 |
[K] |
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ln(Io/I)= f (U) |
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>dla Uż= 9 [V] |
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T= |
1195,91 |
[K] |
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>dla Uż= 12 [V] |
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T= |
1291,00 |
[K] |
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ostatecznie po uwzględnieniu niepewności: |
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Szacowanie niepewności pomiarów: |
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szacowanie niepewności pomiarowej dla v : |
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Uc(e)= |
4,90E-26 |
[C] |
(z tablic fizycznych) |
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Uc(me)= |
5,40E-37 |
[kg] |
(z tablic fizycznych) |
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Uc(Uc)= |
(0,01*zakres*kl)/1.73 = |
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0,002020725942164 |
[V] |
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wartości pochodnych cząstkowych: |
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= |
1,43E+024 |
[V / (kg * C)] |
dla Uż=6V |
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2,02E+24 |
[V / (kg * C)] |
dla Uż=9V |
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2,19E+24 |
[V / (kg * C)] |
dla Uż=12V |
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= |
3,82E+05 |
[C / (kg * V)] |
dla Uż=6V |
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2,71E+05 |
[C / (kg * V)] |
dla Uż=9V |
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2,51E+05 |
[C / (kg * V)] |
dla Uż=12V |
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= |
-2,52E+35 |
[(C * V) / kg3] |
dla Uż=6V |
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-3,57E+35 |
[(C * V) / kg3] |
dla Uż=9V |
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-3,85E+35 |
[(C * V) / kg3] |
dla Uż=12V |
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niepewność całkowitą obliczam ze wzoru: |
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= |
1543,83 |
[m/s] |
dla Uż=6V |
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1095,23 |
[m/s] |
dla Uż=9V |
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1014,40 |
[m/s] |
dla Uż=12V |
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szacowanie niepewnosci pomiarowej dla T: |
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Uc(e)= |
4,90E-26 |
[C] |
(z tablic fizycznych) |
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Uc(k)= |
1,2E-28 |
[J*k-1] |
(z tablic fizycznych) |
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Uc(a)= |
0,25 |
dla Uż=6V |
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0,17 |
dla Uż=9V |
(obliczone przez program MATLAB) |
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12,83 |
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0,29 |
dla Uż=12V |
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9,707 |
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8,992 |
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wartości pochodnych cząstkowych: |
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= |
4,87E+17 |
[K / C] |
dla Uż=6V |
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e= |
1,602E-19 |
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8,58E+26 |
[K / C] |
dla Uż=9V |
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k= |
1,38E-23 |
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9,27E+26 |
[K / C] |
dla Uż=12V |
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m= |
9,109E-31 |
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= |
-6,56E+25 |
[-K2 / J] |
dla Uż=6V |
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-8,67E+25 |
[-K2 / J] |
dla Uż=9V |
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-9,36E+25 |
[-K2 / J] |
dla Uż=12V |
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= |
-7,05E+01 |
[-(J * K) / C] |
dla Uż=6V |
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-1,23E+02 |
[-(J * K) / C] |
dla Uż=9V |
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-1,44E+02 |
[-(J * K) / C] |
dla Uż=12V |
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niepewność całkowitą obliczam ze wzoru: |
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= |
35,26 |
[K] |
dla Uż=6V |
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93,98 |
[K] |
dla Uż=9V |
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123,22 |
[K] |
dla Uż=12V |
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