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) 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 0.5 fraction of the fuel tank is filled by the gasoline?

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) 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 0.5 fraction of the fuel tank is filled by the gasoline?