From other experiments, it is found that the resistance of a thermistor varies according to the equation R = Roe/ (1) Where Ro and B are constants and T is the absolute temperature. From two measurements of the resistance at the (known) steam points and ice points, the above equation can be used to determine B and Ro. Taking the natural logarithm of both sides, one can see that в T (2) In(; Ro Prior to lab class, use R1 at T1 and R2 at T; in equation (1) and derive expressions for Ro and B. Show all of the algebra and include the derivation in the theory portion of your lab report. The expression for B is

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Partial derivatives for this equation,

This is for a lab, and the topic was CALIBRATING A THERMOMETER

 

R2.
In(-
`R1
T1T2
B =
\T,-T2.
Transcribed Image Text:R2. In(- `R1 T1T2 B = \T,-T2.
THEORY
From other experiments, it is found that the resistance of a thermistor varies according to
the equation
R = Roe
(1)
Where Ro and B are constants and T is the absolute temperature.
From two measurements of the resistance at the (known) steam points and ice points, the
above equation can be used to determine B and Ro.
Taking the natural logarithm of both sides, one can see that
B
T =
In(;
RO
(2)
Prior to lab class, use R1 at Ti and R2 at T; in equation (1)
and derive expressions for Ro and B. Show all of the algebra and include the
derivation in the theory portion of your lab report. The expression for B is
T1T2
R2
In(
R1
B =
\T1 - T2/
Transcribed Image Text:THEORY From other experiments, it is found that the resistance of a thermistor varies according to the equation R = Roe (1) Where Ro and B are constants and T is the absolute temperature. From two measurements of the resistance at the (known) steam points and ice points, the above equation can be used to determine B and Ro. Taking the natural logarithm of both sides, one can see that B T = In(; RO (2) Prior to lab class, use R1 at Ti and R2 at T; in equation (1) and derive expressions for Ro and B. Show all of the algebra and include the derivation in the theory portion of your lab report. The expression for B is T1T2 R2 In( R1 B = \T1 - T2/
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