14 In the following circuit, RsG is a strain gauge sensitive to strain and temperature. The sensor AD590 shares the same temperature of the strain gauge. • Calculate the value of the resistor R in order to cancel the dependence of the outout voltage from the temperature of the sensors. • Calculate the sensitivity of the output voltage respect to the strain. AD590 www. RSG The op-amp is ideal. Ra=R₂ [1+ke+a (T-T.)] R₁ = 5002; k=2; α=10³K¹; T = 25°C 1=1mA; 10% = μ+T; μ=1V₁=-6V AD590 K

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14
In the following circuit, RsG is a strain gauge sensitive to strain and temperature. The sensor
AD590 shares the same temperature of the strain gauge.
Calculate the value of the resistor R in order to cancel the dependence of the outout
voltage from the temperature of the sensors.
Calculate the sensitivity of the output voltage respect to the strain.
AD590
RSG
+
Vo
The op-amp is ideal.
R$a = R₁ [1+ke+a (T-T)]
SG
R₁ = 502; k=2; α=10³ K¹; T = 25°C
1=1mA; IADS90 = μ·T; μ = 1; V₁=-6V
K
The virtual ground property of the op.amp leads to:
RSG 1-Vo
R
R₂₁ · [1+ k·ɛ + α· (T− T.)] · 1-V,
HT=
HT=
R
V₁ = R₁₂·1·k E+ (R₁·1·a-R⋅u) T+R₂·1·(1+α-T)
4
Thus the ooutput voltage does not depend on Tif:
R.I.a-Ru=0> R=-
R-I-a 50-10³-10³
10
μ
Finally, the sensitivity respect to the strain is::
dV
mV
S= = R₁ 1.k=50-10-2=1005
dɛ
E
= 5092
Transcribed Image Text:14 In the following circuit, RsG is a strain gauge sensitive to strain and temperature. The sensor AD590 shares the same temperature of the strain gauge. Calculate the value of the resistor R in order to cancel the dependence of the outout voltage from the temperature of the sensors. Calculate the sensitivity of the output voltage respect to the strain. AD590 RSG + Vo The op-amp is ideal. R$a = R₁ [1+ke+a (T-T)] SG R₁ = 502; k=2; α=10³ K¹; T = 25°C 1=1mA; IADS90 = μ·T; μ = 1; V₁=-6V K The virtual ground property of the op.amp leads to: RSG 1-Vo R R₂₁ · [1+ k·ɛ + α· (T− T.)] · 1-V, HT= HT= R V₁ = R₁₂·1·k E+ (R₁·1·a-R⋅u) T+R₂·1·(1+α-T) 4 Thus the ooutput voltage does not depend on Tif: R.I.a-Ru=0> R=- R-I-a 50-10³-10³ 10 μ Finally, the sensitivity respect to the strain is:: dV mV S= = R₁ 1.k=50-10-2=1005 dɛ E = 5092
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