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Question

# 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 25∘C to 75∘C is converted to 0 to 10 V output. If the nominal resistance of RTD (at T=25∘C) 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 7Since output of instrumentation amplifier is given by, V0=[1+2RGR](V1−V2)...(i) Now RTD resistance at 25∘C=150Ω[given] At 75∘C, RT=150[1+0.004×50]=180 Ω Therefore at 25∘C, V1=V2⇒V0=0 At 75∘C, 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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