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# Answer to Question #178113 in Electrical Engineering for Thelston

Question #178113

A capacitive level sensor has the dimensions and properties shown below. What is the capacitance C in picofarads at the liquid level shown? Type in a one-decimal number

H = 4.0 meters

h = 3.9 meters

a = 1.0 millimeters

b = 6.0 millimeters

ε = 8.8542 x 10 picofarads/meter

k = 78.5

1
2021-04-12T01:54:32-0400

Since no image is attached, we can only guess that H and h are the dimensions of the plates, assume a is the plate separation, and k is the dielectric constant of the liquid. If b is the level of liquid, we have a configuration of two capacitors connected in parallel with the equivalent capacitance

"C=\\frac{\\epsilon_oH(h-b)}{a}+\\frac{k\\epsilon_oHb}{a}=\\\\\\space\\\\\n=\\frac{\\epsilon_0H}{a}(h-b(1-k))."

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