question archive A capacitive level sensor has the dimensions and properties shown below

A capacitive level sensor has the dimensions and properties shown below

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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

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Answer;

please note here, value of  permittivity of free space

ε0=8.8542 x 10-12 F/m = 8.8542 pF/m

but in question ε0= 8.8542x10 pF/m is given, so I taken value of question for calculation.

Step-by-step explanation

Capacitance, C=(εKA)/h= (8.8542 x 10x78.5x(3.14/4)x((0.002)2)/3.9=5.5961*10-3 pF

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