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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?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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?
Transcribed Image Text: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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