Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /C². Vacuum permitivity, eo = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10 19 C. Mass of one electron, mẹ = 9.10938356 × 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Battery Air Fuel A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant kchanges 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 = 19 cm, length L = 12 cm and breadth d = 18 cm. The height of the fuel between the plates is h = 7 cm. A battery with e.m.f of 17 v is connected across the plates. For gasoline, dielectric constant Kg You can ignore any fringing effects. a) Calculate the effective dielectric constant of the fuel tank. (Hint: Consider two different capacitors connected in parallel) b) How much energy is stored in the fuel tank when it is full up by gasoline? c) What is the capacitance, when 0.75 fraction of the fuel tank is filled by the gasoline? K
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /C². Vacuum permitivity, eo = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10 19 C. Mass of one electron, mẹ = 9.10938356 × 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Battery Air Fuel A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant kchanges 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 = 19 cm, length L = 12 cm and breadth d = 18 cm. The height of the fuel between the plates is h = 7 cm. A battery with e.m.f of 17 v is connected across the plates. For gasoline, dielectric constant Kg You can ignore any fringing effects. a) Calculate the effective dielectric constant of the fuel tank. (Hint: Consider two different capacitors connected in parallel) b) How much energy is stored in the fuel tank when it is full up by gasoline? c) What is the capacitance, when 0.75 fraction of the fuel tank is filled by the gasoline? K
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter15: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 40P: The dome of a Van de Graaff generator receives a charge of 2.0 104 C. Find the strength of the...
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