5. The RF capacitance gauge is used to estimate the height of fluid in a tank. When the tank is empty, the capacitance is 2 × 106 pF. When the liquid is poured in the tank, the capacitance drops to 1 x 106 pF. The separation between the plates is 50 mm and the dielectric constant of the fluid is 0.1. The width of the electrodes is w meter. Q.5 C = E₁ A = E w² Ew² ; A = w² m² 2 x 106 = 8.85 x 1012 xw² 0.65 W² = 2x10 x 0.05 8.85 x 12 W3 106.29 m = 11299.4 m² Tank shell C = KH E₁ A + (w - H) E A 1x 10 = 0.1 H + (106.29-H) 8.85x10x11299.4 0.05 H = 117.54 m

Delmar's Standard Textbook Of Electricity
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ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
Section: Chapter Questions
Problem 3RQ: A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted...
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5. The RF capacitance gauge is used to estimate the height of fluid in a tank. When the tank is
empty, the capacitance is 2 × 106 pF. When the liquid is poured in the tank, the capacitance drops
to 1 x 106 pF. The separation between the plates is 50 mm and the dielectric constant of the fluid
is 0.1. The width of the electrodes is w meter.
Q.5
C = E₁ A = E w²
Ew²
; A = w² m²
2 x 106 = 8.85 x 1012 xw²
0.65
W² = 2x10 x 0.05
8.85 x 12
W3
106.29 m
=
11299.4 m²
Tank shell
C = KH E₁ A + (w - H) E A
1x 10 = 0.1 H + (106.29-H)
8.85x10x11299.4
0.05
H = 117.54 m
Transcribed Image Text:5. The RF capacitance gauge is used to estimate the height of fluid in a tank. When the tank is empty, the capacitance is 2 × 106 pF. When the liquid is poured in the tank, the capacitance drops to 1 x 106 pF. The separation between the plates is 50 mm and the dielectric constant of the fluid is 0.1. The width of the electrodes is w meter. Q.5 C = E₁ A = E w² Ew² ; A = w² m² 2 x 106 = 8.85 x 1012 xw² 0.65 W² = 2x10 x 0.05 8.85 x 12 W3 106.29 m = 11299.4 m² Tank shell C = KH E₁ A + (w - H) E A 1x 10 = 0.1 H + (106.29-H) 8.85x10x11299.4 0.05 H = 117.54 m
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