A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant schanges 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 12 v is connected across the plates. For gasoline, dielectric constant K, 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? d) What is the capacitance, when the fuel tank is totally filled by the gasoline?

A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant schanges 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 12 v is connected across the plates. For gasoline, dielectric constant K, 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? d) What is the capacitance, when the fuel tank is totally filled by the gasoline?

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter20: Capacitance In Ac Circuits

Section: Chapter Questions

Problem 2PA: You are working in an industrial plant. You have been instructed to double the capacitance connected...

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Concept explainers

Capacitor

The capacitor is an element used to store electrical energy in the electrical field. A capacitor is a form of passive energy.

Question

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 12 v is connected across the plates. For gasoline, dielectric constant Kig 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?
d) What is the capacitance, when the fuel tank is totally filled by the gasoline?

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