1.40 Over a limited temperature range, the relation between electrical resistance R and temperature T for a resistance tem- perature detector is R = Ro[1 + a(T-To)] where R, is the resistance, in ohms (), measured at reference temperature To (in °C) and a is a material constant with units of (C). The following data are obtained for a particular re- sistance thermometer: Test 1 (To) Test 2 T (°C) 0 91 R (1) (R₂) 51.39 51.72 What temperature would correspond to a resistance of 51.47 on this thermometer?

Elements Of Electromagnetics
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1.40 Over a limited temperature range, the relation between
electrical resistance R and temperature T for a resistance tem-
perature detector is
R = Ro[1 + a(T-To)]
where R, is the resistance, in ohms (), measured at reference
temperature To (in °C) and a is a material constant with units
of (°C)-¹. The following data are obtained for a particular re-
sistance thermometer:
Test 1 (To)
Test 2
T (°C)
0
91
R (0)
(Ro) 51.39
51.72
What temperature would correspond to a resistance of 51.47
on this thermometer?
Transcribed Image Text:1.40 Over a limited temperature range, the relation between electrical resistance R and temperature T for a resistance tem- perature detector is R = Ro[1 + a(T-To)] where R, is the resistance, in ohms (), measured at reference temperature To (in °C) and a is a material constant with units of (°C)-¹. The following data are obtained for a particular re- sistance thermometer: Test 1 (To) Test 2 T (°C) 0 91 R (0) (Ro) 51.39 51.72 What temperature would correspond to a resistance of 51.47 on this thermometer?
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