Laboratório 3: Medidas Indiretas (MC) Resistência

Cálculo de Resistência

Modelo Matemático:

• \(R3=(V_{res}+V_{cal}+V_{temp})/(I_{res}+I_{cal}+I_{temp}+I_{rep})-(R1_{cal}+R1_{temp}+R1_{res})-(R2_{cal}+R2_{temp}+R2_{res})\)

• \(R1 = R2 = 111.111~\Omega\)

• \(V = 1.0000~V\)

• \(I = [0.560, 0.560, 0.560, 0.560, 0.560]~mA\)

• \(Temperatura = 24^oC\)

Fontes	Tipos	FDP	Parâmetros das FDP
\(V_{res}\)	B	Uniforme	\(0.0001~V\)
\(V_{cal}\)	B	Normal	\(\pm(0.02\%+0.1mV)\)
\(V_{temp}\)	B	Uniforme	\(\pm(0.02\%+0.1mV)*1/5*(\Delta T)\)
\(I_{res}\)	B	Uniforme	\(1\mu A\)
\(I_{cal}\)	B	Normal	\(\pm(0.025\%+4\mu A)\)
\(I_{temp}\)	B	Uniforme	\(\pm(0.025\%+4\mu A)*1/5*(\Delta T)\)
\(I_{rep}\)	A	t-Student	\(0\mu A\)
\(R1_{cal}\)	B	Normal	\(\pm(0.01\%+2m\Omega)\)
\(R1_{temp}\)	B	Uniforme	\(R_{20}*(1+\alpha*(t-20)+\beta*(t-20)^2)\)
\(R1_{res}\)	B	Uniforme	\(0.001\Omega\)
\(R2_{cal}\)	B	Normal	\(\pm(0.01\%+2m\Omega)\)
\(R2_{temp}\)	B	Uniforme	\(R_{20}*(1+\alpha*(t-20)+\beta*(t-20)^2)\)
\(R2_{res}\)	B	Uniforme	\(0.001\Omega\)

	Valores
\(V_{res}\)	0.0000289
\(V_{cal}\)	0.0001500
\(V_{temp}\)	0.0000346
\(I_{res}\)	0.0000003
\(I_{cal}\)	0.0000021
\(I_{temp}\)	0.0000005
\(I_{rep}\)	0.0000000
\(R1_{cal}\)	0.0065556
\(R1_{temp}\)	0.0023983
\(C1_{tmp}\)	-0.0008380
\(R1_{res}\)	0.0002887
\(R2_{cal}\)	0.0065556
\(R2_{temp}\)	0.0023983
\(C1_{tmp}\)	-0.0008380
\(R2_{res}\)	0.0002887
\(\frac{\partial R3}{\partial V}\)	1785.7142857
\(\frac{\partial R3}{\partial I}\)	-3188775.5102041
\(\frac{\partial R3}{\partial R1}\)	-1.0000000
\(\frac{\partial R3}{\partial R2}\)	-1.0000000
\(U_c\)	6.8424797
\(t_{std}\)	2.0000024
\(U_{exp}\)	13.6849760
\(R_3\)	1563.4939617

	Valores
LEP	1550.24049186122
HEP	1577.10802901412
\(\delta_1\)	0.5
\(\delta_2\)	0.05
DH	0.0709087259942862
DL	0.431506172760464
1 Algarismo Significativo	TRUE
2 Algarismos Significativos	FALSE
RM	1560 +/- 10 \(\Omega\)

Copyright © 2020 Guilherme Kunz, Inc. All rights reserved.