Wzmacniacz operacyjny 2 1

Obliczenia do tabeli 1.


$$K_{U} = \frac{U_{\text{WY\ }}\lbrack V\rbrack}{U_{\text{WE}}\ \lbrack V\rbrack}$$

1. $K_{U} = \frac{0.234}{0.023} = 10.17$

2.$\ K_{U} = \frac{0.329}{0.032} = 10.28$

3.$\ K_{U} = \frac{0.430}{0.042} = 10.24$

4.$\ K_{U} = \frac{0.517}{0.051} = 10.14$

5.$\ K_{U} = \frac{0.599}{0.060} = 9.98$

6.$\ K_{U} = \frac{0.722}{0.071} = 10.17$

7.$\ K_{U} = \frac{0.812}{0.082} = 9.90$

8.$\ K_{U} = \frac{0.904}{0.090} = 10.04$

9.$\ K_{U} = \frac{1.008}{0.100} = 10.08$

10.$\ K_{U} = \frac{1.109}{0.110} = 10.08$

11.$\ K_{U} = \frac{1.195}{0.119} = 10.04$

12.$\ K_{U} = \frac{1.299}{0.129} = 10.07$

13.$\ K_{U} = \frac{1.400}{0.140} = 10.00$

14.$\ K_{U} = \frac{1.525}{0.152} = 10.03$

15.$\ K_{U} = \frac{1.605}{0.160} = 10.03$

16.$\ K_{U} = \frac{1.687}{0.170} = 9.92$

17.$\ K_{U} = \frac{1.776}{0.182} = 9.75$

18.$\ K_{U} = \frac{1.833}{0.191} = 9.59$

Wartości UWE oraz UWY zostały zmierzone Multimetrem True RMS M3860D, którego niepewność pomiarowa wynosi ±0.8% rdg + 3dgt

  1. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.023 + 0.003 = 3.184\ \bullet 10^{- 3}$

  2. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.032 + 0.003 = 3.256 \bullet 10^{- 3}$

  3. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.042 + 0.003 = 3.336 \bullet 10^{- 3}$

  4. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.051 + 0.003 = 3.408 \bullet 10^{- 3}$

  5. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.060 + 0.003 = 3.480 \bullet 10^{- 3}$

  6. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.071 + 0.003 = 3.568 \bullet 10^{- 3}$

  7. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.082 + 0.003 = 3.656 \bullet 10^{- 3}$

  8. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.090 + 0.003 = 3.720 \bullet 10^{- 3}$

  9. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.100 + 0.003 = 3.800 \bullet 10^{- 3}$

  10. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.110 + 0.003 = 3.880 \bullet 10^{- 3}$

  11. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.119 + 0.003 = 3.952 \bullet 10^{- 3}$

  12. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.129 + 0.003 = 4.032 \bullet 10^{- 3}$

  13. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.140 + 0.003 = 4.120 \bullet 10^{- 3}$

  14. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.152 + 0.003 = 4.216 \bullet 10^{- 3}$

  15. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.160 + 0.003 = 4.280 \bullet 10^{- 3}$

  16. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.170 + 0.003 = 4.360 \bullet 10^{- 3}$

  17. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.182 + 0.003 = 4.456 \bullet 10^{- 3}$

  18. $U_{\text{WE}} = \frac{0.8}{100} \bullet 0.191 + 0.003 = 4.528 \bullet 10^{- 3}$

  1. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 0.234 + 0.003 = 4.872 \bullet 10^{- 3}$

  2. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 0.329 + 0.003 = 5.632 \bullet 10^{- 3}$

  3. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 0.430 + 0.003 = 6.440 \bullet 10^{- 3}$

  4. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 0.517 + 0.003 = 7.136 \bullet 10^{- 3}$

  5. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 0.599 + 0.003 = 7.792 \bullet 10^{- 3}$

  6. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 0.722 + 0.003 = 8.776 \bullet 10^{- 3}$

  7. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 0.812 + 0.003 = 9.496 \bullet 10^{- 3}$

  8. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 0.904 + 0.003 = 10.232 \bullet 10^{- 3}$

  9. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.008 + 0.003 = 11.064 \bullet 10^{- 3}$

  10. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.109 + 0.003 = 11.872 \bullet 10^{- 3}$

  11. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.195 + 0.003 = 12.560 \bullet 10^{- 3}$

  12. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.299 + 0.003 = 13.392 \bullet 10^{- 3}$

  13. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.400 + 0.003 = 14.200 \bullet 10^{- 3}$

  14. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.525 + 0.003 = 15.200 \bullet 10^{- 3}$

  15. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.605 + 0.003 = 15.840 \bullet 10^{- 3}$

  16. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.687 + 0.003 = 16.496 \bullet 10^{- 3}$

  17. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.776 + 0.003 = 17.208 \bullet 10^{- 3}$

  18. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.833 + 0.003 = 17.664 \bullet 10^{- 3}$

  1. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.023} = 0.21$

  2. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.032} = 0.17$

  3. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.042} = 0.15$

  4. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.051} = 0.14$

  5. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.060} = 0.13$

  6. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.071} = 0.12$

  7. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.082} = 0.12$

  8. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.090} = 0.11$

  9. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.100} = 0.11$

  10. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.110} = 0.11$

  11. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.119} = 0.11$

  12. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.129} = 0.10$

  13. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.140} = 0.10$

  14. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.152} = 0.10$

  15. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.160} = 0.10$

  16. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.170} = 0.10$

  17. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.182} = 0.10$

  18. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.191} = 0.10$

  1. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{0.234} = 0.10$

  2. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{0.329} = 0.09$

  3. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{0.430} = 0.09$

  4. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{0.517} = 0.09$

  5. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{0.599} = 0.09$

  6. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{0.722} = 0.08$

  7. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{0.812} = 0.08$

  8. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{0.904} = 0.08$

  9. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.008} = 0.08$

  10. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.109} = 0.08$

  11. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.195} = 0.08$

  12. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.299} = 0.08$

  13. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.400} = 0.08$

  14. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.525} = 0.08$

  15. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.605} = 0.08$

  16. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.687} = 0.08$

  17. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.776} = 0.08$

  18. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.833} = 0.08$


$$K_{U} = \left| \frac{1}{U_{\text{WE}}} \right| \bullet {U}_{\text{WY}} + \left| \frac{U_{\text{WY}}}{{U_{\text{WE}}}^{2}} \right| \bullet {U}_{\text{WE}}$$

  1. KU = 1.62

  2. KU = 1.22

  3. KU = 0.97

  4. KU = 0.82

  5. KU = 0.71

  6. KU = 0.63

  7. KU = 0.56

  8. KU = 0.53

  9. KU = 0.49

  10. KU = 0.46

  11. KU = 0.44

  12. KU = 0.42

  13. KU = 0.40

  14. KU = 0.38

  15. KU = 0.37

  16. KU = 0.35

  17. KU = 0.33

  18. KU = 0.32

Wykres UWY(UWE)

Obliczenia do tabeli 2


$$K_{U} = \frac{U_{\text{WY\ }}\lbrack V\rbrack}{U_{\text{WE}}\ \lbrack V\rbrack}$$

  1. $K_{U} = \frac{1.600}{0.162} = 9.88$

  2. $K_{U} = \frac{1.600}{0.162} = 9.88$

  3. $K_{U} = \frac{1.584}{0.158} = 10.03$

  4. $K_{U} = \frac{1.601}{0.159} = 10.07$

  5. $K_{U} = \frac{1.602}{0.160} = 10.01$

  6. $K_{U} = \frac{1.605}{0.160} = 10.03$

  7. $K_{U} = \frac{1.604}{0.160} = 10.03$

  8. $K_{U} = \frac{1.600}{0.159} = 10.06$

  9. $K_{U} = \frac{1.590}{0.159} = 10.00$

  10. $K_{U} = \frac{1.544}{0.158} = 9.77$

  11. $K_{U} = \frac{1.446}{0.156} = 9.27$

  12. $K_{U} = \frac{1.274}{0.157} = 8.11$

  13. $K_{U} = \frac{1.089}{0.156} = 6.98$

  14. $K_{U} = \frac{0.855}{0.155} = 5.52$

  1. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.162 + 0.003 = 4.296 \bullet 10^{- 3}$

  2. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.162 + 0.003 = 4.296 \bullet 10^{- 3}$

  3. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.158 + 0.003 = 4.264 \bullet 10^{- 3}$

  4. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.159 + 0.003 = 4.272 \bullet 10^{- 3}$

  5. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.160 + 0.003 = 4.280 \bullet 10^{- 3}$

  6. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.160 + 0.003 = 4.280 \bullet 10^{- 3}$

  7. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.160 + 0.003 = 4.280 \bullet 10^{- 3}$

  8. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.159 + 0.003 = 4.272 \bullet 10^{- 3}$

  9. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.159 + 0.003 = 4.272 \bullet 10^{- 3}$

  10. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.158 + 0.003 = 4.264 \bullet 10^{- 3}$

  11. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.156 + 0.003 = 4.248 \bullet 10^{- 3}$

  12. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.157 + 0.003 = 4.256 \bullet 10^{- 3}$

  13. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.156 + 0.003 = 4.248 \bullet 10^{- 3}$

  14. $U_{\text{WE}} = \ \frac{0.8}{100} \bullet 0.155 + 0.003 = 4.240 \bullet 10^{- 3}$

  1. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.600 + 0.003 = 15.800 \bullet 10^{- 3}$

  2. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.600 + 0.003 = 15.800 \bullet 10^{- 3}$

  3. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.584 + 0.003 = 15.672 \bullet 10^{- 3}$

  4. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.601 + 0.003 = 15.808 \bullet 10^{- 3}$

  5. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.602 + 0.003 = 15.816 \bullet 10^{- 3}$

  6. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.605 + 0.003 = 15.840 \bullet 10^{- 3}$

  7. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.604 + 0.003 = 15.832 \bullet 10^{- 3}$

  8. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.600 + 0.003 = 15.800 \bullet 10^{- 3}$

  9. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.590 + 0.003 = 15.720 \bullet 10^{- 3}$

  10. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.544 + 0.003 = 15.352 \bullet 10^{- 3}$

  11. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.446 + 0.003 = 14.586 \bullet 10^{- 3}$

  12. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.274 + 0.003 = 13.192 \bullet 10^{- 3}$

  13. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 1.089 + 0.003 = 11.712 \bullet 10^{- 3}$

  14. ${U}_{\text{WY}} = \frac{0.8}{100} \bullet 0.855 + 0.003 = 9.840 \bullet 10^{- 3}$

  1. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.162} = 0.099$

  2. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.162} = 0.099$

  3. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.158} = 0.099$

  4. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.159} = 0.099$

  5. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.160} = 0.099$

  6. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.160} = 0.099$

  7. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.160} = 0.099$

  8. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.159} = 0.099$

  9. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.159} = 0.099$

  10. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.158} = 0.099$

  11. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.156} = 0.099$

  12. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.157} = 0.099$

  13. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.156} = 0,099$

  14. $\delta U_{\text{WE}} = 0.08 + \frac{0.003}{0.156} = 0.099$

  1. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.600} = 0.082$

  2. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.600} = 0.082$

  3. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.584} = 0.082$

  4. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.601} = 0.082$

  5. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.602} = 0.082$

  6. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.605} = 0.082$

  7. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.604} = 0.082$

  8. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.600} = 0.082$

  9. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.590} = 0.082$

  10. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.544} = 0.082$

  11. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.446} = 0.082$

  12. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.274} = 0.082$

  13. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{1.089} = 0.083$

  14. $\delta U_{\text{WY}} = 0.08 + \frac{0.003}{0.855} = 0.084$


$$K_{U} = \left| \frac{1}{U_{\text{WE}}} \right| \bullet {U}_{\text{WY}} + \left| \frac{U_{\text{WY}}}{{U_{\text{WE}}}^{2}} \right| \bullet {U}_{\text{WE}}$$

  1. KU = 0.36

  2. KU = 0.36

  3. KU = 0.37

  4. KU = 0.37

  5. KU = 0.37

  6. KU = 0.37

  7. KU = 0.37

  8. KU = 0.37

  9. KU = 0.37

  10. KU = 0.36

  11. KU = 0.35

  12. KU = 0.30

  13. KU = 0.27

  14. KU = 0.22

Wykres KU(f)


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