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A platinum RTD having resistance temperature coefficient of 0.004/C is connected in one arm of the bridge circuit as shown in the figure. The output of the bridge is given to an instrumentation amplifier so that the temperature range from 25C to 75C is converted to 0 to 10 V output. If the nominal resistance of RTD (at T=25C) is 150 Ω then the resistance value RG of the instrumentation amplifier is ________ kΩ.




A
9
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B
7
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C
5
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D
3
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Solution

The correct option is B 7
Since output of instrumentation amplifier is given by,

V0=[1+2RGR](V1V2)...(i)

Now RTD resistance at 25C=150Ω[given]

At 75C, RT=150[1+0.004×50]=180 Ω

Therefore at 25C, V1=V2V0=0

At 75C, V0=10V[Given]

V2=150150+120×15=253V

V1=180180+120×15=9V

So,

10=(23)(1+2RG)

RG=7 kΩ

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