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A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant K changes 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 Kg. You can ignore any fringing effects. a) What ic the canaeitance when 5 fraction of the fuel tank ie filled by the qaceline

A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant K changes 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 Kg. You can ignore any fringing effects. a) What ic the canaeitance when 5 fraction of the fuel tank ie filled by the qaceline

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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 K changes 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 Kg. You can ignore any fringing effects. a) What is the capacitance, when 0.5 fraction of the fuel tank is filled by the gasoline b) 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 K changes 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 Kg. You can ignore any fringing effects. a) What is the capacitance, when 0.5 fraction of the fuel tank is filled by the gasoline b) What is the capacitance, when the fuel tank is totally filled by the gasoline?
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