The diagram shows a schematic for a thermometer based on the expansion of some fluid. There is a spherical reservoir of the fluid, with radius R, which is connected via a tube to a vertical section, with a circular cross section, radius r. a. assuming r << R, show that the change in fluid level in the tube is given by: 4 BR³ AT AL == 3 r² Where AT is the change in temperature and is the volumetric expansion coefficient of the fluid b. what properties should the system have to be most sensitive?

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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The diagram shows a schematic for a thermometer based on the expansion of some fluid.
There is a spherical reservoir of the fluid, with radius R, which is connected via a tube to a
vertical section, with a circular cross section, radius r.
a. assuming r << R, show that the change in fluid level in the tube is given by:
4 BR³ AT
AL =
3 p²
Where AT is the change in temperature and is the volumetric expansion coefficient
of the fluid
b. what properties should the system have to be most sensitive?
Transcribed Image Text:The diagram shows a schematic for a thermometer based on the expansion of some fluid. There is a spherical reservoir of the fluid, with radius R, which is connected via a tube to a vertical section, with a circular cross section, radius r. a. assuming r << R, show that the change in fluid level in the tube is given by: 4 BR³ AT AL = 3 p² Where AT is the change in temperature and is the volumetric expansion coefficient of the fluid b. what properties should the system have to be most sensitive?
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