Thermistor's temperature problem

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The discussion centers on solving for the constants R0 and B in the thermistor equation R=R0e^(B/T) using given resistance values at the ice and steam points. The user attempts to manipulate the equation by taking logarithms but questions whether their rearrangement is correct. They express confusion about how to handle the constants in simultaneous equations derived from the logarithmic form. Clarification is sought on the proper formulation of the logarithmic equation. The conversation highlights the importance of accurately applying logarithmic properties in thermistor calculations.
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Homework Statement



A thermistor's temperature dependence is given by R=R0eb/t
where R is in ohms T is in Kelvins R0 and B are constants to be found.

a) If R =7360 at the ice point and 153 at steam point find R0 and B

Homework Equations





The Attempt at a Solution



I took logs so

LnR=R0B/T
rearranged so
(LnR)T/B=R0

then get simultaneous equations but the constant i am trying to find so for this example B are just going to cancel?

(Ln153)x373.15/B = (Ln7360)x273.15/B

Thanks in advance
 
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matt_crouch said:

Homework Statement



A thermistor's temperature dependence is given by R=R0eb/t
where R is in ohms T is in Kelvins R0 and B are constants to be found.

a) If R =7360 at the ice point and 153 at steam point find R0 and B

Homework Equations





The Attempt at a Solution



I took logs so

LnR=R0B/T

Shouldn't that be LnR=LnR0 + B/T ?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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