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LABORATORIUM Z FIZYKI Opole dnia 27.10.2012r |
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TEMAT |
kierunek ELEKTROTECHNIKA sem III |
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wyznaczanie stosunku e/m ładunku elektronu do jego masy metodą magnetronu |
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tabela pomiarów |
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napięcie anodowe |
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LP |
Ua 4 V |
Ua 6 V |
Ua 8 V |
Ua 10 V |
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prąd solenoidu Is [A] |
prąd anodowy Ia [mA] |
prąd solenoidu Is [A] |
prąd anodowy Ia [mA] |
prąd solenoidu Is [A] |
prąd anodowy Ia [mA] |
prąd solenoidu Is [A] |
prąd anodowy Ia [mA] |
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1 |
0.150 |
0.344 |
0.150 |
0.361 |
0.150 |
0.379 |
0.150 |
0.395 |
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2 |
0.130 |
0.350 |
0.130 |
0.378 |
0.130 |
0.394 |
0.130 |
0.409 |
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3 |
0.320 |
0.351 |
0.320 |
0.379 |
0.320 |
0.396 |
0.320 |
0.411 |
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4 |
0.340 |
0.284 |
0.340 |
0.380 |
0.340 |
0.397 |
0.340 |
0.412 |
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5 |
0.360 |
0.164 |
0.360 |
0.379 |
0.360 |
0.398 |
0.360 |
0.412 |
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6 |
0.380 |
0.134 |
0.380 |
0.368 |
0.380 |
0.398 |
0.380 |
0.413 |
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7 |
0.400 |
0.120 |
0.400 |
0.267 |
0.400 |
0.398 |
0.400 |
0.413 |
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8 |
0.420 |
0.097 |
0.420 |
0.166 |
0.420 |
0.396 |
0.420 |
0.413 |
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9 |
0.440 |
0.083 |
0.440 |
0.135 |
0.440 |
0.321 |
0.440 |
0.412 |
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10 |
0.460 |
0.068 |
0.460 |
0.125 |
0.460 |
0.195 |
0.460 |
0.409 |
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11 |
0.480 |
0.047 |
0.480 |
0.117 |
0.480 |
0.147 |
0.480 |
0.368 |
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12 |
0.500 |
0.035 |
0.500 |
0.107 |
0.500 |
0.128 |
0.500 |
0.220 |
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13 |
0.550 |
0.017 |
0.550 |
0.074 |
0.550 |
0.107 |
0.550 |
0.120 |
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14 |
0.600 |
0.009 |
0.600 |
0.037 |
0.600 |
0.087 |
0.600 |
0.101 |
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15 |
0.650 |
0.004 |
0.650 |
0.020 |
0.650 |
0.060 |
0.650 |
0.085 |
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16 |
0.700 |
0.001 |
0.700 |
0.011 |
0.700 |
0.032 |
0.700 |
0.062 |
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17 |
0.750 |
0.000 |
0.750 |
0.005 |
0.750 |
0.016 |
0.750 |
0.037 |
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obliczenia |
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Z wykresu odczytano wartości Ik dla danej wartości Ua |
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Ik ^ 2 |
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Ua = 4 [V] Ik = 0,39 [A] |
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4 |
1.52E-01 |
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6 |
2.04E-01 |
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Ua = 6 [V] Ik = 0,452[A] |
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8 |
2.52E-01 |
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10 |
2.94E-01 |
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Ua = 8 [V] Ik = 0,502 [A] |
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Ua = 10 [V] Ik = 0,542 [A] |
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Wyznaczenie stosunku |
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ΔU |
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ΔU ^ 2 |
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Dane do obliczeń: |
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r^2= |
6.40E-07 |
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U 4v |
0.16 |
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0.0256 |
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n^2= |
3.14E+08 |
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U6V |
0.24 |
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0.0576 |
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n=N/L - ilość zwojów solenoidu przypadająca na metr długości |
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= |
17720 |
[zw/m] |
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μo^2= |
1.58E-12 |
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U8V |
0.32 |
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0.1024 |
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0.4 |
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0.16 |
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μo - przenikalność magnetyczna próżni |
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= |
4πE-7 |
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[H/m] |
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Ik^3 |
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Ik^2 |
Δ Ik ^2= |
u 10 V |
0.4 |
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0.16 |
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r - 1/2 odległości między katodą a anodą = |
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8.00E-04 |
[m] |
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5.93E-02 |
Ik 4 V |
1.52E-01 |
3.803E-04 |
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9.23E-02 |
Ik 6 V |
2.04E-01 |
5.108E-04 |
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r^2 = |
6.40E-07 |
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1.27E-01 |
Ik 8 V |
2.52E-01 |
6.300E-04 |
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r^3= |
5.12E-10 |
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= |
1.659105813E+11 |
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1.59E-01 |
Ik 10 V |
2.94E-01 |
7.344E-04 |
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Δr^2 |
2.5E-09 |
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= |
1.852753697E+11 |
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9.92036E+11 |
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3.23526E+08 |
|
8.29553E+02 |
= |
9.96172E+05 |
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2.99818E+12 |
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4.18722E+08 |
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9.26377E+02 |
= |
1.73165E+06 |
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= |
2.002745942E+11 |
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6.57454E+12 |
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5.02689E+08 |
|
1.00137E+03 |
= |
2.56419E+06 |
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1.19750E+13 |
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5.88448E+11 |
|
1.07378E+03 |
= |
3.54450E+06 |
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= |
2.147557174E+11 |
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obliczam średnią e/m |
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1.92E+11 |
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wartość tablicowa e/m to: |
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= |
1.76E+11 |
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niepewności pomiarowe : |
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Δr = |
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5.00E-05 |
[m] |
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ΔU= |
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0,04 *U (4%) |
[V] |
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ΔIS= |
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0,05*Is (5%) |
[A] |
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ΔIA= |
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0,06*IA (6%) |
[mA] |
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obliczam niepewności całkowite: |
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Ik |
U(Ik) = 5% |
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(U(Ik)/Ik)^2 |
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Ik1 |
0.3900 |
0.0195 |
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0.002500 |
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Ik2 |
0.4520 |
0.0226 |
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0.002500 |
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Ik3 |
0.5020 |
0.0251 |
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0.002500 |
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Ik4 |
0.5420 |
0.0271 |
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0.002500 |
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Ua |
U(Ua) 4% |
|
(U(Ua)/Ua)^2 |
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= |
0.11 |
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U4v |
4.0000 |
0.1600 |
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0.001600 |
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U6v |
6.0000 |
0.2400 |
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0.001600 |
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U8v |
8.0000 |
0.3200 |
|
0.001600 |
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= |
0.11 |
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U10v |
10.0000 |
0.4000 |
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0.001600 |
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= |
0.11 |
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= |
0.11 |
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0.11 |
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