What is the capacitance, when the fuel tank is totally filled by the gasoline?

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Chapter1: Units, Trigonometry. And Vectors
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A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant κchanges from a value of 1 when the tank is empty, to a value of 7, when the tank is full. The appropriate electronic circuitry can determine the effective dielectric constant of the combined air and fuel between the capacitor plates. The dimension of the fuel tank is width w=19cm, length L=12cm and breadth d=18cm. The height of the fuel between the plates is h=7cm. A battery with e.m.f of 13v is connected across the plates. For gasoline, dielectric constant κg You can ignore any fringing effects.

What is the capacitance, when the fuel tank is totally filled by the gasoline?

Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m²/C². Vacuum permitivity,
€0 = 8.854 x 10-12 F /m. Magnitude of the Charge of one electron, e = -1.60217662 × 10–19 C. Mass of one
electron, me = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For
example, µC means micro coulomb .
Battery
Air
不
Fuel
Kh业
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m²/C². Vacuum permitivity, €0 = 8.854 x 10-12 F /m. Magnitude of the Charge of one electron, e = -1.60217662 × 10–19 C. Mass of one electron, me = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . Battery Air 不 Fuel Kh业
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